Multivariate Models

We now consider fitting multivariate models and, in each case, comparing them with the univariate benchmarks obtained in Section 1 as well as between themselves. Assessments are made at the h = 1 horizon for point & probabilistic forecasts.

1. Consider a VAR model for each store and obtain resulting forecasts for the testing sample

Analysis for the first store CA_1

We start by loading the required packages, including the “vars” package which will have a host of commands necessary for us to run the VAR and the diagnostic tests and applications to follow. We then see the plots of each variable and judge some initial conditions such as stationarity. We need to declare each variable in the dataset as a time series using the ts() command and visualize our series using the ts_plot() command.

# Read the csv file
sales <- read.csv(file = 'Projectdata.csv')

# Convert data to time series object
Hobbies_CA_1 <- ts(sales$Hobbies_CA_1, start = c(2011,1,29), frequency = 365.25)
Household_1_CA_1 <- ts(sales$Household_1_CA_1, start = c(2011,1,29), frequency = 365.25)
Household_2_CA_1 <- ts(sales$Household_2_CA_1, start = c(2011,1,29), frequency = 365.25)
Foods_1_CA_1 <- ts(sales$Foods_1_CA_1, start = c(2011,1,29), frequency = 365.25)
Foods_2_CA_1 <- ts(sales$Foods_2_CA_1, start = c(2011,1,29), frequency = 365.25)
Foods_3_CA_1 <- ts(sales$Foods_3_CA_1, start = c(2011,1,29), frequency = 365.25)
ts_plot(Hobbies_CA_1)
ts_plot(Household_1_CA_1)
ts_plot(Household_2_CA_1)
ts_plot(Foods_1_CA_1)
ts_plot(Foods_2_CA_1)
ts_plot(Foods_3_CA_1)

It is important to assess whether the variables under study are stationary or not and having stationary variables is of an ideal case in our VAR. For simplicity, we will use the Phillips Perron so we would not need to specify the number of lags. In the estimation below, we find that all variables are stationary over certain lags.

pp.test(Hobbies_CA_1)
## Warning in pp.test(Hobbies_CA_1): p-value smaller than printed p-value
## 
##  Phillips-Perron Unit Root Test
## 
## data:  Hobbies_CA_1
## Dickey-Fuller Z(alpha) = -1308, Truncation lag parameter = 8, p-value =
## 0.01
## alternative hypothesis: stationary
pp.test(Household_1_CA_1)
## Warning in pp.test(Household_1_CA_1): p-value smaller than printed p-value
## 
##  Phillips-Perron Unit Root Test
## 
## data:  Household_1_CA_1
## Dickey-Fuller Z(alpha) = -764.73, Truncation lag parameter = 8, p-value
## = 0.01
## alternative hypothesis: stationary
pp.test(Household_2_CA_1)
## Warning in pp.test(Household_2_CA_1): p-value smaller than printed p-value
## 
##  Phillips-Perron Unit Root Test
## 
## data:  Household_2_CA_1
## Dickey-Fuller Z(alpha) = -912.68, Truncation lag parameter = 8, p-value
## = 0.01
## alternative hypothesis: stationary
pp.test(Foods_1_CA_1)
## Warning in pp.test(Foods_1_CA_1): p-value smaller than printed p-value
## 
##  Phillips-Perron Unit Root Test
## 
## data:  Foods_1_CA_1
## Dickey-Fuller Z(alpha) = -865.79, Truncation lag parameter = 8, p-value
## = 0.01
## alternative hypothesis: stationary
pp.test(Foods_2_CA_1)
## Warning in pp.test(Foods_2_CA_1): p-value smaller than printed p-value
## 
##  Phillips-Perron Unit Root Test
## 
## data:  Foods_2_CA_1
## Dickey-Fuller Z(alpha) = -747.57, Truncation lag parameter = 8, p-value
## = 0.01
## alternative hypothesis: stationary
pp.test(Foods_3_CA_1)
## Warning in pp.test(Foods_3_CA_1): p-value smaller than printed p-value
## 
##  Phillips-Perron Unit Root Test
## 
## data:  Foods_3_CA_1
## Dickey-Fuller Z(alpha) = -713.28, Truncation lag parameter = 8, p-value
## = 0.01
## alternative hypothesis: stationary

We first build the VAR system with the cbind() command which essentially groups our time series. We will order this in the desired order that we see fit. We will store this in an object called “v1”. We will then rename the variables as the list to follow using the colnames() command. We then determine some lag order by using VARselect() command with a maximum lag order of 60. The command will automatically generate the preferred lag order based on the multivariate iterations of the AIC, SBIC, HQIC and the FPE.

v1 <- cbind(Hobbies_CA_1, Household_1_CA_1, Household_2_CA_1, Foods_1_CA_1, Foods_2_CA_1, Foods_3_CA_1)
colnames(v1) <- cbind("Hobbies_CA_1","Household_1_CA_1","Household_2_CA_1", "Foods_1_CA_1", 'Foods_2_CA_1', 'Foods_3_CA_1')
lagselect <- VARselect(v1, lag.max = 60, type = "const")
lagselect$selection
## AIC(n)  HQ(n)  SC(n) FPE(n) 
##     28      7      7     28

Running the commands suggests that the lag order to be used is 28. We estimate the VAR using the VAR() command. Since we determined that 28 lags is best, we set the p option to 2. We let it be a typical unrestricted VAR with a constant and we will specify no exogenous variables in the system. The summary() command lists down the results.

Model1 <- VAR(v1, p = 28, type = "const", season = NULL, exog = NULL) 
summary(Model1)
## 
## VAR Estimation Results:
## ========================= 
## Endogenous variables: Hobbies_CA_1, Household_1_CA_1, Household_2_CA_1, Foods_1_CA_1, Foods_2_CA_1, Foods_3_CA_1 
## Deterministic variables: const 
## Sample size: 1941 
## Log Likelihood: -58492.3 
## Roots of the characteristic polynomial:
## 0.9989 0.9989 0.9984 0.9936 0.992 0.992 0.9867 0.9867 0.9844 0.9805 0.9761 0.9761 0.9729 0.9729 0.9721 0.9721 0.9624 0.9624 0.952 0.952 0.9515 0.9515 0.9486 0.9486 0.9477 0.9477 0.9466 0.9466 0.9466 0.9466 0.9465 0.9465 0.9463 0.9463 0.943 0.943 0.943 0.943 0.9403 0.9403 0.9401 0.9401 0.9401 0.9399 0.9399 0.9395 0.9395 0.9377 0.9377 0.9371 0.9371 0.9368 0.9368 0.9365 0.9365 0.936 0.936 0.9359 0.9359 0.9359 0.9359 0.9352 0.9352 0.9342 0.9342 0.9325 0.9325 0.9325 0.9325 0.9324 0.9324 0.9318 0.9318 0.9307 0.9307 0.9306 0.9306 0.9298 0.9298 0.9288 0.9288 0.9275 0.9275 0.9272 0.9272 0.9259 0.9259 0.9255 0.9255 0.9249 0.9249 0.9247 0.9247 0.924 0.924 0.9236 0.9236 0.9225 0.9225 0.9223 0.9223 0.9217 0.9217 0.9195 0.9195 0.9184 0.9184 0.9175 0.9175 0.9174 0.9174 0.9158 0.9158 0.9146 0.9146 0.9143 0.9143 0.9127 0.9127 0.9125 0.9125 0.9113 0.9113 0.9107 0.9107 0.9099 0.9099 0.9094 0.9094 0.9092 0.9092 0.9088 0.9088 0.9025 0.9025 0.9005 0.9005 0.9005 0.9005 0.9005 0.9005 0.8996 0.8955 0.8955 0.8933 0.8933 0.8932 0.8932 0.8758 0.8758 0.8735 0.8735 0.8721 0.8721 0.8689 0.8689 0.8642 0.8642 0.7788 0.7788 0.7403 0.7403 0.7289 0.7089 0.7089 0.6228 0.6228 0.1806
## Call:
## VAR(y = v1, p = 28, type = "const", exogen = NULL)
## 
## 
## Estimation results for equation Hobbies_CA_1: 
## ============================================= 
## Hobbies_CA_1 = Hobbies_CA_1.l1 + Household_1_CA_1.l1 + Household_2_CA_1.l1 + Foods_1_CA_1.l1 + Foods_2_CA_1.l1 + Foods_3_CA_1.l1 + Hobbies_CA_1.l2 + Household_1_CA_1.l2 + Household_2_CA_1.l2 + Foods_1_CA_1.l2 + Foods_2_CA_1.l2 + Foods_3_CA_1.l2 + Hobbies_CA_1.l3 + Household_1_CA_1.l3 + Household_2_CA_1.l3 + Foods_1_CA_1.l3 + Foods_2_CA_1.l3 + Foods_3_CA_1.l3 + Hobbies_CA_1.l4 + Household_1_CA_1.l4 + Household_2_CA_1.l4 + Foods_1_CA_1.l4 + Foods_2_CA_1.l4 + Foods_3_CA_1.l4 + Hobbies_CA_1.l5 + Household_1_CA_1.l5 + Household_2_CA_1.l5 + Foods_1_CA_1.l5 + Foods_2_CA_1.l5 + Foods_3_CA_1.l5 + Hobbies_CA_1.l6 + Household_1_CA_1.l6 + Household_2_CA_1.l6 + Foods_1_CA_1.l6 + Foods_2_CA_1.l6 + Foods_3_CA_1.l6 + Hobbies_CA_1.l7 + Household_1_CA_1.l7 + Household_2_CA_1.l7 + Foods_1_CA_1.l7 + Foods_2_CA_1.l7 + Foods_3_CA_1.l7 + Hobbies_CA_1.l8 + Household_1_CA_1.l8 + Household_2_CA_1.l8 + Foods_1_CA_1.l8 + Foods_2_CA_1.l8 + Foods_3_CA_1.l8 + Hobbies_CA_1.l9 + Household_1_CA_1.l9 + Household_2_CA_1.l9 + Foods_1_CA_1.l9 + Foods_2_CA_1.l9 + Foods_3_CA_1.l9 + Hobbies_CA_1.l10 + Household_1_CA_1.l10 + Household_2_CA_1.l10 + Foods_1_CA_1.l10 + Foods_2_CA_1.l10 + Foods_3_CA_1.l10 + Hobbies_CA_1.l11 + Household_1_CA_1.l11 + Household_2_CA_1.l11 + Foods_1_CA_1.l11 + Foods_2_CA_1.l11 + Foods_3_CA_1.l11 + Hobbies_CA_1.l12 + Household_1_CA_1.l12 + Household_2_CA_1.l12 + Foods_1_CA_1.l12 + Foods_2_CA_1.l12 + Foods_3_CA_1.l12 + Hobbies_CA_1.l13 + Household_1_CA_1.l13 + Household_2_CA_1.l13 + Foods_1_CA_1.l13 + Foods_2_CA_1.l13 + Foods_3_CA_1.l13 + Hobbies_CA_1.l14 + Household_1_CA_1.l14 + Household_2_CA_1.l14 + Foods_1_CA_1.l14 + Foods_2_CA_1.l14 + Foods_3_CA_1.l14 + Hobbies_CA_1.l15 + Household_1_CA_1.l15 + Household_2_CA_1.l15 + Foods_1_CA_1.l15 + Foods_2_CA_1.l15 + Foods_3_CA_1.l15 + Hobbies_CA_1.l16 + Household_1_CA_1.l16 + Household_2_CA_1.l16 + Foods_1_CA_1.l16 + Foods_2_CA_1.l16 + Foods_3_CA_1.l16 + Hobbies_CA_1.l17 + Household_1_CA_1.l17 + Household_2_CA_1.l17 + Foods_1_CA_1.l17 + Foods_2_CA_1.l17 + Foods_3_CA_1.l17 + Hobbies_CA_1.l18 + Household_1_CA_1.l18 + Household_2_CA_1.l18 + Foods_1_CA_1.l18 + Foods_2_CA_1.l18 + Foods_3_CA_1.l18 + Hobbies_CA_1.l19 + Household_1_CA_1.l19 + Household_2_CA_1.l19 + Foods_1_CA_1.l19 + Foods_2_CA_1.l19 + Foods_3_CA_1.l19 + Hobbies_CA_1.l20 + Household_1_CA_1.l20 + Household_2_CA_1.l20 + Foods_1_CA_1.l20 + Foods_2_CA_1.l20 + Foods_3_CA_1.l20 + Hobbies_CA_1.l21 + Household_1_CA_1.l21 + Household_2_CA_1.l21 + Foods_1_CA_1.l21 + Foods_2_CA_1.l21 + Foods_3_CA_1.l21 + Hobbies_CA_1.l22 + Household_1_CA_1.l22 + Household_2_CA_1.l22 + Foods_1_CA_1.l22 + Foods_2_CA_1.l22 + Foods_3_CA_1.l22 + Hobbies_CA_1.l23 + Household_1_CA_1.l23 + Household_2_CA_1.l23 + Foods_1_CA_1.l23 + Foods_2_CA_1.l23 + Foods_3_CA_1.l23 + Hobbies_CA_1.l24 + Household_1_CA_1.l24 + Household_2_CA_1.l24 + Foods_1_CA_1.l24 + Foods_2_CA_1.l24 + Foods_3_CA_1.l24 + Hobbies_CA_1.l25 + Household_1_CA_1.l25 + Household_2_CA_1.l25 + Foods_1_CA_1.l25 + Foods_2_CA_1.l25 + Foods_3_CA_1.l25 + Hobbies_CA_1.l26 + Household_1_CA_1.l26 + Household_2_CA_1.l26 + Foods_1_CA_1.l26 + Foods_2_CA_1.l26 + Foods_3_CA_1.l26 + Hobbies_CA_1.l27 + Household_1_CA_1.l27 + Household_2_CA_1.l27 + Foods_1_CA_1.l27 + Foods_2_CA_1.l27 + Foods_3_CA_1.l27 + Hobbies_CA_1.l28 + Household_1_CA_1.l28 + Household_2_CA_1.l28 + Foods_1_CA_1.l28 + Foods_2_CA_1.l28 + Foods_3_CA_1.l28 + const 
## 
##                        Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_1.l1       0.1592642  0.0255437   6.235 5.64e-10 ***
## Household_1_CA_1.l1   0.0581590  0.0587597   0.990 0.322418    
## Household_2_CA_1.l1   0.1374725  0.1001903   1.372 0.170201    
## Foods_1_CA_1.l1       0.0634799  0.0662419   0.958 0.338040    
## Foods_2_CA_1.l1      -0.0792069  0.0388862  -2.037 0.041810 *  
## Foods_3_CA_1.l1      -0.0213182  0.0128867  -1.654 0.098248 .  
## Hobbies_CA_1.l2       0.0807449  0.0258606   3.122 0.001823 ** 
## Household_1_CA_1.l2   0.0066810  0.0596896   0.112 0.910893    
## Household_2_CA_1.l2   0.0568204  0.1010959   0.562 0.574157    
## Foods_1_CA_1.l2      -0.0287366  0.0694729  -0.414 0.679189    
## Foods_2_CA_1.l2       0.0469106  0.0415361   1.129 0.258885    
## Foods_3_CA_1.l2      -0.0461397  0.0136061  -3.391 0.000711 ***
## Hobbies_CA_1.l3       0.0521491  0.0259476   2.010 0.044605 *  
## Household_1_CA_1.l3  -0.0350095  0.0597806  -0.586 0.558197    
## Household_2_CA_1.l3   0.0171067  0.1014757   0.169 0.866147    
## Foods_1_CA_1.l3      -0.0518696  0.0698384  -0.743 0.457756    
## Foods_2_CA_1.l3       0.0533807  0.0418562   1.275 0.202357    
## Foods_3_CA_1.l3      -0.0148684  0.0137497  -1.081 0.279684    
## Hobbies_CA_1.l4       0.0631584  0.0259369   2.435 0.014987 *  
## Household_1_CA_1.l4  -0.1383261  0.0597034  -2.317 0.020623 *  
## Household_2_CA_1.l4  -0.2043224  0.1013226  -2.017 0.043893 *  
## Foods_1_CA_1.l4      -0.0713971  0.0700873  -1.019 0.308491    
## Foods_2_CA_1.l4      -0.0558780  0.0418657  -1.335 0.182147    
## Foods_3_CA_1.l4       0.0340244  0.0137360   2.477 0.013341 *  
## Hobbies_CA_1.l5       0.0278357  0.0258779   1.076 0.282228    
## Household_1_CA_1.l5   0.0798901  0.0596996   1.338 0.181002    
## Household_2_CA_1.l5  -0.1764727  0.1017934  -1.734 0.083157 .  
## Foods_1_CA_1.l5       0.1570730  0.0702593   2.236 0.025501 *  
## Foods_2_CA_1.l5       0.0477287  0.0420052   1.136 0.256003    
## Foods_3_CA_1.l5      -0.0438231  0.0137510  -3.187 0.001463 ** 
## Hobbies_CA_1.l6       0.0156029  0.0258828   0.603 0.546700    
## Household_1_CA_1.l6  -0.0770885  0.0597659  -1.290 0.197274    
## Household_2_CA_1.l6   0.1848030  0.1018678   1.814 0.069824 .  
## Foods_1_CA_1.l6      -0.0473328  0.0702049  -0.674 0.500266    
## Foods_2_CA_1.l6      -0.0476058  0.0421198  -1.130 0.258524    
## Foods_3_CA_1.l6       0.0413824  0.0138113   2.996 0.002771 ** 
## Hobbies_CA_1.l7       0.0535327  0.0259144   2.066 0.038997 *  
## Household_1_CA_1.l7   0.0619073  0.0600498   1.031 0.302712    
## Household_2_CA_1.l7   0.1719534  0.1023837   1.679 0.093231 .  
## Foods_1_CA_1.l7       0.0756101  0.0701346   1.078 0.281148    
## Foods_2_CA_1.l7       0.0650842  0.0421126   1.545 0.122409    
## Foods_3_CA_1.l7      -0.0112502  0.0138631  -0.812 0.417175    
## Hobbies_CA_1.l8      -0.0146750  0.0259199  -0.566 0.571351    
## Household_1_CA_1.l8  -0.0216151  0.0596866  -0.362 0.717288    
## Household_2_CA_1.l8  -0.0243222  0.1028500  -0.236 0.813086    
## Foods_1_CA_1.l8       0.0659009  0.0701608   0.939 0.347714    
## Foods_2_CA_1.l8      -0.0202892  0.0422561  -0.480 0.631180    
## Foods_3_CA_1.l8      -0.0046539  0.0139606  -0.333 0.738904    
## Hobbies_CA_1.l9       0.0186893  0.0259694   0.720 0.471825    
## Household_1_CA_1.l9   0.0492823  0.0596906   0.826 0.409126    
## Household_2_CA_1.l9   0.0515418  0.1026566   0.502 0.615674    
## Foods_1_CA_1.l9      -0.1257596  0.0701686  -1.792 0.073264 .  
## Foods_2_CA_1.l9      -0.0090448  0.0422199  -0.214 0.830392    
## Foods_3_CA_1.l9       0.0102211  0.0139177   0.734 0.462806    
## Hobbies_CA_1.l10      0.0460505  0.0258962   1.778 0.075531 .  
## Household_1_CA_1.l10  0.0171761  0.0596108   0.288 0.773275    
## Household_2_CA_1.l10 -0.0438138  0.1025952  -0.427 0.669391    
## Foods_1_CA_1.l10      0.0184224  0.0702533   0.262 0.793176    
## Foods_2_CA_1.l10     -0.0080917  0.0422665  -0.191 0.848199    
## Foods_3_CA_1.l10      0.0125298  0.0139726   0.897 0.369980    
## Hobbies_CA_1.l11      0.0508955  0.0258934   1.966 0.049504 *  
## Household_1_CA_1.l11  0.0640000  0.0594477   1.077 0.281817    
## Household_2_CA_1.l11 -0.0396317  0.1026776  -0.386 0.699556    
## Foods_1_CA_1.l11     -0.0424614  0.0703538  -0.604 0.546226    
## Foods_2_CA_1.l11      0.0685918  0.0423067   1.621 0.105132    
## Foods_3_CA_1.l11     -0.0204283  0.0139718  -1.462 0.143889    
## Hobbies_CA_1.l12      0.0065523  0.0259043   0.253 0.800341    
## Household_1_CA_1.l12 -0.0702404  0.0595639  -1.179 0.238459    
## Household_2_CA_1.l12 -0.0585423  0.1025136  -0.571 0.568025    
## Foods_1_CA_1.l12     -0.1538886  0.0703876  -2.186 0.028924 *  
## Foods_2_CA_1.l12     -0.0724866  0.0423415  -1.712 0.087081 .  
## Foods_3_CA_1.l12      0.0327557  0.0139648   2.346 0.019107 *  
## Hobbies_CA_1.l13      0.0147854  0.0258516   0.572 0.567439    
## Household_1_CA_1.l13  0.0387879  0.0595022   0.652 0.514567    
## Household_2_CA_1.l13  0.0975671  0.1022115   0.955 0.339930    
## Foods_1_CA_1.l13      0.0677152  0.0705271   0.960 0.337121    
## Foods_2_CA_1.l13     -0.0543229  0.0424158  -1.281 0.200459    
## Foods_3_CA_1.l13      0.0056006  0.0139865   0.400 0.688889    
## Hobbies_CA_1.l14      0.0730914  0.0258137   2.831 0.004685 ** 
## Household_1_CA_1.l14  0.0678331  0.0596669   1.137 0.255749    
## Household_2_CA_1.l14  0.0959409  0.1021218   0.939 0.347615    
## Foods_1_CA_1.l14      0.0010310  0.0705974   0.015 0.988349    
## Foods_2_CA_1.l14      0.0825523  0.0424846   1.943 0.052161 .  
## Foods_3_CA_1.l14     -0.0241155  0.0139325  -1.731 0.083646 .  
## Hobbies_CA_1.l15      0.0289120  0.0258442   1.119 0.263418    
## Household_1_CA_1.l15  0.0234709  0.0600309   0.391 0.695859    
## Household_2_CA_1.l15 -0.1679079  0.1017794  -1.650 0.099177 .  
## Foods_1_CA_1.l15     -0.0263935  0.0706016  -0.374 0.708570    
## Foods_2_CA_1.l15      0.0634076  0.0423644   1.497 0.134645    
## Foods_3_CA_1.l15     -0.0015679  0.0138833  -0.113 0.910095    
## Hobbies_CA_1.l16      0.0319159  0.0258821   1.233 0.217692    
## Household_1_CA_1.l16 -0.0082445  0.0601165  -0.137 0.890934    
## Household_2_CA_1.l16  0.0146666  0.1015792   0.144 0.885212    
## Foods_1_CA_1.l16     -0.0354057  0.0706090  -0.501 0.616128    
## Foods_2_CA_1.l16     -0.0783187  0.0423883  -1.848 0.064820 .  
## Foods_3_CA_1.l16      0.0285866  0.0138681   2.061 0.039419 *  
## Hobbies_CA_1.l17     -0.0582978  0.0258415  -2.256 0.024194 *  
## Household_1_CA_1.l17  0.1061997  0.0601504   1.766 0.077640 .  
## Household_2_CA_1.l17 -0.0730089  0.1015665  -0.719 0.472341    
## Foods_1_CA_1.l17      0.0636495  0.0706679   0.901 0.367878    
## Foods_2_CA_1.l17      0.0116101  0.0424026   0.274 0.784266    
## Foods_3_CA_1.l17     -0.0047643  0.0138706  -0.343 0.731276    
## Hobbies_CA_1.l18      0.0502210  0.0258124   1.946 0.051858 .  
## Household_1_CA_1.l18  0.0629043  0.0603016   1.043 0.297016    
## Household_2_CA_1.l18 -0.0036594  0.1014501  -0.036 0.971230    
## Foods_1_CA_1.l18      0.0386731  0.0706880   0.547 0.584381    
## Foods_2_CA_1.l18      0.0003772  0.0424078   0.009 0.992904    
## Foods_3_CA_1.l18     -0.0200364  0.0138659  -1.445 0.148630    
## Hobbies_CA_1.l19      0.0613942  0.0258431   2.376 0.017624 *  
## Household_1_CA_1.l19 -0.0260741  0.0602895  -0.432 0.665444    
## Household_2_CA_1.l19  0.1703414  0.1016286   1.676 0.093892 .  
## Foods_1_CA_1.l19     -0.0926053  0.0706022  -1.312 0.189809    
## Foods_2_CA_1.l19      0.0546985  0.0424385   1.289 0.197605    
## Foods_3_CA_1.l19     -0.0108390  0.0138981  -0.780 0.435560    
## Hobbies_CA_1.l20      0.0001530  0.0258663   0.006 0.995281    
## Household_1_CA_1.l20  0.0427819  0.0603674   0.709 0.478609    
## Household_2_CA_1.l20  0.0080036  0.1015880   0.079 0.937212    
## Foods_1_CA_1.l20     -0.0585872  0.0704337  -0.832 0.405630    
## Foods_2_CA_1.l20      0.0258585  0.0424695   0.609 0.542686    
## Foods_3_CA_1.l20     -0.0001781  0.0139007  -0.013 0.989781    
## Hobbies_CA_1.l21     -0.0018831  0.0258150  -0.073 0.941859    
## Household_1_CA_1.l21  0.0104986  0.0603464   0.174 0.861908    
## Household_2_CA_1.l21  0.0719698  0.1018035   0.707 0.479691    
## Foods_1_CA_1.l21     -0.1083205  0.0704618  -1.537 0.124400    
## Foods_2_CA_1.l21     -0.0145535  0.0424869  -0.343 0.731984    
## Foods_3_CA_1.l21      0.0108188  0.0138790   0.780 0.435784    
## Hobbies_CA_1.l22     -0.0295953  0.0257406  -1.150 0.250402    
## Household_1_CA_1.l22 -0.0170097  0.0608306  -0.280 0.779798    
## Household_2_CA_1.l22 -0.0097225  0.1013022  -0.096 0.923551    
## Foods_1_CA_1.l22      0.1620441  0.0704991   2.299 0.021648 *  
## Foods_2_CA_1.l22     -0.0096419  0.0423624  -0.228 0.819979    
## Foods_3_CA_1.l22     -0.0001125  0.0138029  -0.008 0.993499    
## Hobbies_CA_1.l23      0.0358913  0.0257160   1.396 0.162986    
## Household_1_CA_1.l23 -0.1086268  0.0607453  -1.788 0.073909 .  
## Household_2_CA_1.l23  0.0670586  0.1008423   0.665 0.506147    
## Foods_1_CA_1.l23     -0.1877066  0.0706143  -2.658 0.007927 ** 
## Foods_2_CA_1.l23     -0.0692748  0.0422817  -1.638 0.101513    
## Foods_3_CA_1.l23      0.0157634  0.0137621   1.145 0.252188    
## Hobbies_CA_1.l24     -0.0567152  0.0257209  -2.205 0.027580 *  
## Household_1_CA_1.l24 -0.0193999  0.0603529  -0.321 0.747914    
## Household_2_CA_1.l24  0.1105260  0.1007422   1.097 0.272739    
## Foods_1_CA_1.l24      0.1221784  0.0707837   1.726 0.084507 .  
## Foods_2_CA_1.l24      0.0187241  0.0422204   0.443 0.657470    
## Foods_3_CA_1.l24     -0.0072023  0.0137742  -0.523 0.601120    
## Hobbies_CA_1.l25     -0.0316637  0.0257461  -1.230 0.218919    
## Household_1_CA_1.l25 -0.0170964  0.0603218  -0.283 0.776888    
## Household_2_CA_1.l25  0.0080608  0.1004270   0.080 0.936035    
## Foods_1_CA_1.l25      0.0145160  0.0707191   0.205 0.837390    
## Foods_2_CA_1.l25     -0.1064808  0.0421624  -2.525 0.011640 *  
## Foods_3_CA_1.l25      0.0157214  0.0137908   1.140 0.254444    
## Hobbies_CA_1.l26      0.0133280  0.0257441   0.518 0.604726    
## Household_1_CA_1.l26 -0.0901206  0.0604314  -1.491 0.136064    
## Household_2_CA_1.l26 -0.0485910  0.1002758  -0.485 0.628039    
## Foods_1_CA_1.l26      0.0717869  0.0702146   1.022 0.306735    
## Foods_2_CA_1.l26      0.0577271  0.0421591   1.369 0.171089    
## Foods_3_CA_1.l26      0.0005516  0.0137890   0.040 0.968098    
## Hobbies_CA_1.l27      0.0081460  0.0255780   0.318 0.750161    
## Household_1_CA_1.l27  0.0417045  0.0601899   0.693 0.488474    
## Household_2_CA_1.l27 -0.0852248  0.0999891  -0.852 0.394140    
## Foods_1_CA_1.l27      0.1560365  0.0697673   2.237 0.025441 *  
## Foods_2_CA_1.l27     -0.0534564  0.0417873  -1.279 0.200976    
## Foods_3_CA_1.l27     -0.0011330  0.0136800  -0.083 0.934001    
## Hobbies_CA_1.l28      0.0814173  0.0251255   3.240 0.001216 ** 
## Household_1_CA_1.l28  0.0562325  0.0583888   0.963 0.335644    
## Household_2_CA_1.l28 -0.2135404  0.0988490  -2.160 0.030885 *  
## Foods_1_CA_1.l28      0.0651742  0.0665370   0.980 0.327458    
## Foods_2_CA_1.l28      0.0264673  0.0393069   0.673 0.500813    
## Foods_3_CA_1.l28      0.0160523  0.0129027   1.244 0.213625    
## const                41.7738205 21.1314924   1.977 0.048213 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 60.53 on 1772 degrees of freedom
## Multiple R-Squared: 0.572,   Adjusted R-squared: 0.5314 
## F-statistic:  14.1 on 168 and 1772 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Household_1_CA_1: 
## ================================================= 
## Household_1_CA_1 = Hobbies_CA_1.l1 + Household_1_CA_1.l1 + Household_2_CA_1.l1 + Foods_1_CA_1.l1 + Foods_2_CA_1.l1 + Foods_3_CA_1.l1 + Hobbies_CA_1.l2 + Household_1_CA_1.l2 + Household_2_CA_1.l2 + Foods_1_CA_1.l2 + Foods_2_CA_1.l2 + Foods_3_CA_1.l2 + Hobbies_CA_1.l3 + Household_1_CA_1.l3 + Household_2_CA_1.l3 + Foods_1_CA_1.l3 + Foods_2_CA_1.l3 + Foods_3_CA_1.l3 + Hobbies_CA_1.l4 + Household_1_CA_1.l4 + Household_2_CA_1.l4 + Foods_1_CA_1.l4 + Foods_2_CA_1.l4 + Foods_3_CA_1.l4 + Hobbies_CA_1.l5 + Household_1_CA_1.l5 + Household_2_CA_1.l5 + Foods_1_CA_1.l5 + Foods_2_CA_1.l5 + Foods_3_CA_1.l5 + Hobbies_CA_1.l6 + Household_1_CA_1.l6 + Household_2_CA_1.l6 + Foods_1_CA_1.l6 + Foods_2_CA_1.l6 + Foods_3_CA_1.l6 + Hobbies_CA_1.l7 + Household_1_CA_1.l7 + Household_2_CA_1.l7 + Foods_1_CA_1.l7 + Foods_2_CA_1.l7 + Foods_3_CA_1.l7 + Hobbies_CA_1.l8 + Household_1_CA_1.l8 + Household_2_CA_1.l8 + Foods_1_CA_1.l8 + Foods_2_CA_1.l8 + Foods_3_CA_1.l8 + Hobbies_CA_1.l9 + Household_1_CA_1.l9 + Household_2_CA_1.l9 + Foods_1_CA_1.l9 + Foods_2_CA_1.l9 + Foods_3_CA_1.l9 + Hobbies_CA_1.l10 + Household_1_CA_1.l10 + Household_2_CA_1.l10 + Foods_1_CA_1.l10 + Foods_2_CA_1.l10 + Foods_3_CA_1.l10 + Hobbies_CA_1.l11 + Household_1_CA_1.l11 + Household_2_CA_1.l11 + Foods_1_CA_1.l11 + Foods_2_CA_1.l11 + Foods_3_CA_1.l11 + Hobbies_CA_1.l12 + Household_1_CA_1.l12 + Household_2_CA_1.l12 + Foods_1_CA_1.l12 + Foods_2_CA_1.l12 + Foods_3_CA_1.l12 + Hobbies_CA_1.l13 + Household_1_CA_1.l13 + Household_2_CA_1.l13 + Foods_1_CA_1.l13 + Foods_2_CA_1.l13 + Foods_3_CA_1.l13 + Hobbies_CA_1.l14 + Household_1_CA_1.l14 + Household_2_CA_1.l14 + Foods_1_CA_1.l14 + Foods_2_CA_1.l14 + Foods_3_CA_1.l14 + Hobbies_CA_1.l15 + Household_1_CA_1.l15 + Household_2_CA_1.l15 + Foods_1_CA_1.l15 + Foods_2_CA_1.l15 + Foods_3_CA_1.l15 + Hobbies_CA_1.l16 + Household_1_CA_1.l16 + Household_2_CA_1.l16 + Foods_1_CA_1.l16 + Foods_2_CA_1.l16 + Foods_3_CA_1.l16 + Hobbies_CA_1.l17 + Household_1_CA_1.l17 + Household_2_CA_1.l17 + Foods_1_CA_1.l17 + Foods_2_CA_1.l17 + Foods_3_CA_1.l17 + Hobbies_CA_1.l18 + Household_1_CA_1.l18 + Household_2_CA_1.l18 + Foods_1_CA_1.l18 + Foods_2_CA_1.l18 + Foods_3_CA_1.l18 + Hobbies_CA_1.l19 + Household_1_CA_1.l19 + Household_2_CA_1.l19 + Foods_1_CA_1.l19 + Foods_2_CA_1.l19 + Foods_3_CA_1.l19 + Hobbies_CA_1.l20 + Household_1_CA_1.l20 + Household_2_CA_1.l20 + Foods_1_CA_1.l20 + Foods_2_CA_1.l20 + Foods_3_CA_1.l20 + Hobbies_CA_1.l21 + Household_1_CA_1.l21 + Household_2_CA_1.l21 + Foods_1_CA_1.l21 + Foods_2_CA_1.l21 + Foods_3_CA_1.l21 + Hobbies_CA_1.l22 + Household_1_CA_1.l22 + Household_2_CA_1.l22 + Foods_1_CA_1.l22 + Foods_2_CA_1.l22 + Foods_3_CA_1.l22 + Hobbies_CA_1.l23 + Household_1_CA_1.l23 + Household_2_CA_1.l23 + Foods_1_CA_1.l23 + Foods_2_CA_1.l23 + Foods_3_CA_1.l23 + Hobbies_CA_1.l24 + Household_1_CA_1.l24 + Household_2_CA_1.l24 + Foods_1_CA_1.l24 + Foods_2_CA_1.l24 + Foods_3_CA_1.l24 + Hobbies_CA_1.l25 + Household_1_CA_1.l25 + Household_2_CA_1.l25 + Foods_1_CA_1.l25 + Foods_2_CA_1.l25 + Foods_3_CA_1.l25 + Hobbies_CA_1.l26 + Household_1_CA_1.l26 + Household_2_CA_1.l26 + Foods_1_CA_1.l26 + Foods_2_CA_1.l26 + Foods_3_CA_1.l26 + Hobbies_CA_1.l27 + Household_1_CA_1.l27 + Household_2_CA_1.l27 + Foods_1_CA_1.l27 + Foods_2_CA_1.l27 + Foods_3_CA_1.l27 + Hobbies_CA_1.l28 + Household_1_CA_1.l28 + Household_2_CA_1.l28 + Foods_1_CA_1.l28 + Foods_2_CA_1.l28 + Foods_3_CA_1.l28 + const 
## 
##                        Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_1.l1      -0.0022587  0.0125168  -0.180  0.85682    
## Household_1_CA_1.l1   0.2007818  0.0287931   6.973 4.35e-12 ***
## Household_2_CA_1.l1   0.1432003  0.0490946   2.917  0.00358 ** 
## Foods_1_CA_1.l1       0.0734282  0.0324594   2.262  0.02381 *  
## Foods_2_CA_1.l1      -0.0060320  0.0190548  -0.317  0.75161    
## Foods_3_CA_1.l1      -0.0139050  0.0063147  -2.202  0.02779 *  
## Hobbies_CA_1.l2       0.0024779  0.0126721   0.196  0.84499    
## Household_1_CA_1.l2   0.0777630  0.0292487   2.659  0.00792 ** 
## Household_2_CA_1.l2  -0.0995108  0.0495384  -2.009  0.04471 *  
## Foods_1_CA_1.l2       0.0124295  0.0340426   0.365  0.71507    
## Foods_2_CA_1.l2       0.0068886  0.0203532   0.338  0.73506    
## Foods_3_CA_1.l2      -0.0160967  0.0066672  -2.414  0.01587 *  
## Hobbies_CA_1.l3      -0.0065563  0.0127147  -0.516  0.60616    
## Household_1_CA_1.l3   0.0204822  0.0292933   0.699  0.48451    
## Household_2_CA_1.l3   0.0008958  0.0497245   0.018  0.98563    
## Foods_1_CA_1.l3      -0.0233455  0.0342217  -0.682  0.49521    
## Foods_2_CA_1.l3       0.0268428  0.0205101   1.309  0.19078    
## Foods_3_CA_1.l3      -0.0018892  0.0067375  -0.280  0.77921    
## Hobbies_CA_1.l4      -0.0094979  0.0127094  -0.747  0.45498    
## Household_1_CA_1.l4  -0.0398989  0.0292555  -1.364  0.17280    
## Household_2_CA_1.l4  -0.0966499  0.0496495  -1.947  0.05174 .  
## Foods_1_CA_1.l4      -0.0207955  0.0343437  -0.606  0.54492    
## Foods_2_CA_1.l4      -0.0324122  0.0205148  -1.580  0.11430    
## Foods_3_CA_1.l4       0.0132573  0.0067308   1.970  0.04903 *  
## Hobbies_CA_1.l5       0.0373150  0.0126805   2.943  0.00330 ** 
## Household_1_CA_1.l5   0.0392999  0.0292536   1.343  0.17931    
## Household_2_CA_1.l5  -0.0412176  0.0498801  -0.826  0.40873    
## Foods_1_CA_1.l5      -0.0232869  0.0344280  -0.676  0.49888    
## Foods_2_CA_1.l5       0.0637348  0.0205831   3.096  0.00199 ** 
## Foods_3_CA_1.l5      -0.0267552  0.0067382  -3.971 7.45e-05 ***
## Hobbies_CA_1.l6      -0.0348751  0.0126829  -2.750  0.00602 ** 
## Household_1_CA_1.l6   0.0627253  0.0292861   2.142  0.03234 *  
## Household_2_CA_1.l6   0.0741057  0.0499166   1.485  0.13783    
## Foods_1_CA_1.l6      -0.0133855  0.0344014  -0.389  0.69725    
## Foods_2_CA_1.l6      -0.0279091  0.0206393  -1.352  0.17647    
## Foods_3_CA_1.l6       0.0058525  0.0067677   0.865  0.38729    
## Hobbies_CA_1.l7       0.0088386  0.0126984   0.696  0.48650    
## Household_1_CA_1.l7   0.0932695  0.0294252   3.170  0.00155 ** 
## Household_2_CA_1.l7  -0.0387933  0.0501694  -0.773  0.43948    
## Foods_1_CA_1.l7      -0.0243711  0.0343669  -0.709  0.47833    
## Foods_2_CA_1.l7      -0.0084303  0.0206357  -0.409  0.68293    
## Foods_3_CA_1.l7       0.0153354  0.0067931   2.257  0.02410 *  
## Hobbies_CA_1.l8      -0.0071486  0.0127011  -0.563  0.57362    
## Household_1_CA_1.l8   0.0185186  0.0292472   0.633  0.52670    
## Household_2_CA_1.l8   0.0038035  0.0503979   0.075  0.93985    
## Foods_1_CA_1.l8       0.0099245  0.0343798   0.289  0.77287    
## Foods_2_CA_1.l8       0.0063218  0.0207060   0.305  0.76016    
## Foods_3_CA_1.l8       0.0022514  0.0068409   0.329  0.74211    
## Hobbies_CA_1.l9      -0.0032590  0.0127254  -0.256  0.79790    
## Household_1_CA_1.l9  -0.0019858  0.0292492  -0.068  0.94588    
## Household_2_CA_1.l9   0.0338767  0.0503031   0.673  0.50075    
## Foods_1_CA_1.l9      -0.0538902  0.0343836  -1.567  0.11722    
## Foods_2_CA_1.l9       0.0309032  0.0206883   1.494  0.13542    
## Foods_3_CA_1.l9      -0.0110325  0.0068199  -1.618  0.10591    
## Hobbies_CA_1.l10      0.0109200  0.0126895   0.861  0.38960    
## Household_1_CA_1.l10  0.0106391  0.0292101   0.364  0.71573    
## Household_2_CA_1.l10  0.0862552  0.0502731   1.716  0.08639 .  
## Foods_1_CA_1.l10     -0.0519606  0.0344251  -1.509  0.13138    
## Foods_2_CA_1.l10     -0.0379198  0.0207112  -1.831  0.06729 .  
## Foods_3_CA_1.l10      0.0121337  0.0068468   1.772  0.07654 .  
## Hobbies_CA_1.l11      0.0104478  0.0126881   0.823  0.41037    
## Household_1_CA_1.l11 -0.0254558  0.0291302  -0.874  0.38231    
## Household_2_CA_1.l11  0.0312769  0.0503134   0.622  0.53426    
## Foods_1_CA_1.l11      0.0439684  0.0344743   1.275  0.20234    
## Foods_2_CA_1.l11      0.0232842  0.0207309   1.123  0.26152    
## Foods_3_CA_1.l11     -0.0066477  0.0068464  -0.971  0.33169    
## Hobbies_CA_1.l12     -0.0135837  0.0126935  -1.070  0.28470    
## Household_1_CA_1.l12 -0.0007842  0.0291871  -0.027  0.97857    
## Household_2_CA_1.l12  0.0017507  0.0502330   0.035  0.97220    
## Foods_1_CA_1.l12      0.0233428  0.0344909   0.677  0.49863    
## Foods_2_CA_1.l12      0.0116055  0.0207479   0.559  0.57599    
## Foods_3_CA_1.l12      0.0036118  0.0068430   0.528  0.59770    
## Hobbies_CA_1.l13     -0.0140484  0.0126676  -1.109  0.26758    
## Household_1_CA_1.l13  0.0907936  0.0291569   3.114  0.00188 ** 
## Household_2_CA_1.l13 -0.0133388  0.0500850  -0.266  0.79002    
## Foods_1_CA_1.l13      0.0086135  0.0345592   0.249  0.80320    
## Foods_2_CA_1.l13     -0.0448060  0.0207843  -2.156  0.03124 *  
## Foods_3_CA_1.l13      0.0058379  0.0068536   0.852  0.39444    
## Hobbies_CA_1.l14     -0.0040888  0.0126491  -0.323  0.74654    
## Household_1_CA_1.l14  0.1608110  0.0292376   5.500 4.35e-08 ***
## Household_2_CA_1.l14  0.0621304  0.0500411   1.242  0.21455    
## Foods_1_CA_1.l14     -0.0232319  0.0345937  -0.672  0.50195    
## Foods_2_CA_1.l14      0.0246373  0.0208180   1.183  0.23679    
## Foods_3_CA_1.l14      0.0002503  0.0068271   0.037  0.97076    
## Hobbies_CA_1.l15      0.0182383  0.0126640   1.440  0.15000    
## Household_1_CA_1.l15 -0.0476182  0.0294159  -1.619  0.10567    
## Household_2_CA_1.l15 -0.0048038  0.0498733  -0.096  0.92328    
## Foods_1_CA_1.l15     -0.0540987  0.0345957  -1.564  0.11806    
## Foods_2_CA_1.l15      0.0252786  0.0207591   1.218  0.22350    
## Foods_3_CA_1.l15     -0.0028390  0.0068030  -0.417  0.67650    
## Hobbies_CA_1.l16     -0.0020711  0.0126826  -0.163  0.87030    
## Household_1_CA_1.l16 -0.0182508  0.0294579  -0.620  0.53563    
## Household_2_CA_1.l16  0.0520534  0.0497752   1.046  0.29581    
## Foods_1_CA_1.l16      0.0185793  0.0345993   0.537  0.59135    
## Foods_2_CA_1.l16     -0.0089232  0.0207708  -0.430  0.66754    
## Foods_3_CA_1.l16      0.0080588  0.0067956   1.186  0.23582    
## Hobbies_CA_1.l17     -0.0096979  0.0126627  -0.766  0.44386    
## Household_1_CA_1.l17  0.0483242  0.0294745   1.640  0.10128    
## Household_2_CA_1.l17  0.0002325  0.0497689   0.005  0.99627    
## Foods_1_CA_1.l17     -0.0269515  0.0346282  -0.778  0.43649    
## Foods_2_CA_1.l17      0.0133484  0.0207778   0.642  0.52067    
## Foods_3_CA_1.l17     -0.0061448  0.0067968  -0.904  0.36608    
## Hobbies_CA_1.l18      0.0134649  0.0126484   1.065  0.28722    
## Household_1_CA_1.l18  0.0417295  0.0295486   1.412  0.15806    
## Household_2_CA_1.l18 -0.0619404  0.0497119  -1.246  0.21293    
## Foods_1_CA_1.l18      0.0127071  0.0346381   0.367  0.71377    
## Foods_2_CA_1.l18     -0.0342997  0.0207804  -1.651  0.09900 .  
## Foods_3_CA_1.l18      0.0104899  0.0067945   1.544  0.12279    
## Hobbies_CA_1.l19      0.0077810  0.0126635   0.614  0.53900    
## Household_1_CA_1.l19 -0.0046579  0.0295427  -0.158  0.87474    
## Household_2_CA_1.l19  0.0206351  0.0497994   0.414  0.67866    
## Foods_1_CA_1.l19      0.0025035  0.0345961   0.072  0.94232    
## Foods_2_CA_1.l19     -0.0078754  0.0207954  -0.379  0.70495    
## Foods_3_CA_1.l19     -0.0056493  0.0068103  -0.830  0.40692    
## Hobbies_CA_1.l20      0.0176300  0.0126748   1.391  0.16442    
## Household_1_CA_1.l20  0.0213399  0.0295808   0.721  0.47075    
## Household_2_CA_1.l20  0.0012057  0.0497795   0.024  0.98068    
## Foods_1_CA_1.l20     -0.0789096  0.0345134  -2.286  0.02235 *  
## Foods_2_CA_1.l20      0.0019691  0.0208106   0.095  0.92463    
## Foods_3_CA_1.l20      0.0031624  0.0068115   0.464  0.64251    
## Hobbies_CA_1.l21     -0.0198111  0.0126497  -1.566  0.11750    
## Household_1_CA_1.l21  0.1603630  0.0295706   5.423 6.66e-08 ***
## Household_2_CA_1.l21  0.0371929  0.0498851   0.746  0.45603    
## Foods_1_CA_1.l21     -0.0095896  0.0345272  -0.278  0.78124    
## Foods_2_CA_1.l21      0.0361945  0.0208192   1.739  0.08229 .  
## Foods_3_CA_1.l21     -0.0052431  0.0068009  -0.771  0.44084    
## Hobbies_CA_1.l22     -0.0098132  0.0126133  -0.778  0.43667    
## Household_1_CA_1.l22 -0.0103786  0.0298078  -0.348  0.72774    
## Household_2_CA_1.l22  0.0296204  0.0496394   0.597  0.55078    
## Foods_1_CA_1.l22      0.0267503  0.0345455   0.774  0.43883    
## Foods_2_CA_1.l22     -0.0071716  0.0207581  -0.345  0.72977    
## Foods_3_CA_1.l22     -0.0016275  0.0067636  -0.241  0.80987    
## Hobbies_CA_1.l23     -0.0019072  0.0126012  -0.151  0.87972    
## Household_1_CA_1.l23 -0.0214805  0.0297660  -0.722  0.47061    
## Household_2_CA_1.l23 -0.0426432  0.0494141  -0.863  0.38827    
## Foods_1_CA_1.l23     -0.0430805  0.0346020  -1.245  0.21329    
## Foods_2_CA_1.l23     -0.0182902  0.0207186  -0.883  0.37747    
## Foods_3_CA_1.l23      0.0123958  0.0067436   1.838  0.06621 .  
## Hobbies_CA_1.l24      0.0077264  0.0126036   0.613  0.53993    
## Household_1_CA_1.l24 -0.0382310  0.0295737  -1.293  0.19627    
## Household_2_CA_1.l24 -0.0501770  0.0493651  -1.016  0.30956    
## Foods_1_CA_1.l24      0.0341598  0.0346850   0.985  0.32483    
## Foods_2_CA_1.l24      0.0002083  0.0206886   0.010  0.99197    
## Foods_3_CA_1.l24     -0.0053750  0.0067496  -0.796  0.42594    
## Hobbies_CA_1.l25      0.0174959  0.0126160   1.387  0.16568    
## Household_1_CA_1.l25 -0.0403554  0.0295585  -1.365  0.17234    
## Household_2_CA_1.l25  0.0912274  0.0492106   1.854  0.06393 .  
## Foods_1_CA_1.l25     -0.0200352  0.0346533  -0.578  0.56323    
## Foods_2_CA_1.l25     -0.0279093  0.0206602  -1.351  0.17691    
## Foods_3_CA_1.l25      0.0061083  0.0067577   0.904  0.36617    
## Hobbies_CA_1.l26     -0.0225699  0.0126150  -1.789  0.07376 .  
## Household_1_CA_1.l26 -0.0105788  0.0296122  -0.357  0.72095    
## Household_2_CA_1.l26 -0.0657921  0.0491365  -1.339  0.18075    
## Foods_1_CA_1.l26      0.0604370  0.0344061   1.757  0.07916 .  
## Foods_2_CA_1.l26      0.0063707  0.0206585   0.308  0.75783    
## Foods_3_CA_1.l26      0.0013612  0.0067568   0.201  0.84036    
## Hobbies_CA_1.l27      0.0245526  0.0125336   1.959  0.05028 .  
## Household_1_CA_1.l27  0.0201284  0.0294939   0.682  0.49504    
## Household_2_CA_1.l27 -0.0309853  0.0489960  -0.632  0.52720    
## Foods_1_CA_1.l27      0.0933948  0.0341869   2.732  0.00636 ** 
## Foods_2_CA_1.l27     -0.0231372  0.0204763  -1.130  0.25865    
## Foods_3_CA_1.l27     -0.0069936  0.0067034  -1.043  0.29695    
## Hobbies_CA_1.l28     -0.0321120  0.0123118  -2.608  0.00918 ** 
## Household_1_CA_1.l28  0.1256535  0.0286113   4.392 1.19e-05 ***
## Household_2_CA_1.l28  0.0252750  0.0484373   0.522  0.60187    
## Foods_1_CA_1.l28      0.0551518  0.0326040   1.692  0.09090 .  
## Foods_2_CA_1.l28      0.0032615  0.0192609   0.169  0.86555    
## Foods_3_CA_1.l28      0.0129788  0.0063225   2.053  0.04024 *  
## const                -0.5864742 10.3547168  -0.057  0.95484    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 29.66 on 1772 degrees of freedom
## Multiple R-Squared: 0.841,   Adjusted R-squared: 0.826 
## F-statistic:  55.8 on 168 and 1772 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Household_2_CA_1: 
## ================================================= 
## Household_2_CA_1 = Hobbies_CA_1.l1 + Household_1_CA_1.l1 + Household_2_CA_1.l1 + Foods_1_CA_1.l1 + Foods_2_CA_1.l1 + Foods_3_CA_1.l1 + Hobbies_CA_1.l2 + Household_1_CA_1.l2 + Household_2_CA_1.l2 + Foods_1_CA_1.l2 + Foods_2_CA_1.l2 + Foods_3_CA_1.l2 + Hobbies_CA_1.l3 + Household_1_CA_1.l3 + Household_2_CA_1.l3 + Foods_1_CA_1.l3 + Foods_2_CA_1.l3 + Foods_3_CA_1.l3 + Hobbies_CA_1.l4 + Household_1_CA_1.l4 + Household_2_CA_1.l4 + Foods_1_CA_1.l4 + Foods_2_CA_1.l4 + Foods_3_CA_1.l4 + Hobbies_CA_1.l5 + Household_1_CA_1.l5 + Household_2_CA_1.l5 + Foods_1_CA_1.l5 + Foods_2_CA_1.l5 + Foods_3_CA_1.l5 + Hobbies_CA_1.l6 + Household_1_CA_1.l6 + Household_2_CA_1.l6 + Foods_1_CA_1.l6 + Foods_2_CA_1.l6 + Foods_3_CA_1.l6 + Hobbies_CA_1.l7 + Household_1_CA_1.l7 + Household_2_CA_1.l7 + Foods_1_CA_1.l7 + Foods_2_CA_1.l7 + Foods_3_CA_1.l7 + Hobbies_CA_1.l8 + Household_1_CA_1.l8 + Household_2_CA_1.l8 + Foods_1_CA_1.l8 + Foods_2_CA_1.l8 + Foods_3_CA_1.l8 + Hobbies_CA_1.l9 + Household_1_CA_1.l9 + Household_2_CA_1.l9 + Foods_1_CA_1.l9 + Foods_2_CA_1.l9 + Foods_3_CA_1.l9 + Hobbies_CA_1.l10 + Household_1_CA_1.l10 + Household_2_CA_1.l10 + Foods_1_CA_1.l10 + Foods_2_CA_1.l10 + Foods_3_CA_1.l10 + Hobbies_CA_1.l11 + Household_1_CA_1.l11 + Household_2_CA_1.l11 + Foods_1_CA_1.l11 + Foods_2_CA_1.l11 + Foods_3_CA_1.l11 + Hobbies_CA_1.l12 + Household_1_CA_1.l12 + Household_2_CA_1.l12 + Foods_1_CA_1.l12 + Foods_2_CA_1.l12 + Foods_3_CA_1.l12 + Hobbies_CA_1.l13 + Household_1_CA_1.l13 + Household_2_CA_1.l13 + Foods_1_CA_1.l13 + Foods_2_CA_1.l13 + Foods_3_CA_1.l13 + Hobbies_CA_1.l14 + Household_1_CA_1.l14 + Household_2_CA_1.l14 + Foods_1_CA_1.l14 + Foods_2_CA_1.l14 + Foods_3_CA_1.l14 + Hobbies_CA_1.l15 + Household_1_CA_1.l15 + Household_2_CA_1.l15 + Foods_1_CA_1.l15 + Foods_2_CA_1.l15 + Foods_3_CA_1.l15 + Hobbies_CA_1.l16 + Household_1_CA_1.l16 + Household_2_CA_1.l16 + Foods_1_CA_1.l16 + Foods_2_CA_1.l16 + Foods_3_CA_1.l16 + Hobbies_CA_1.l17 + Household_1_CA_1.l17 + Household_2_CA_1.l17 + Foods_1_CA_1.l17 + Foods_2_CA_1.l17 + Foods_3_CA_1.l17 + Hobbies_CA_1.l18 + Household_1_CA_1.l18 + Household_2_CA_1.l18 + Foods_1_CA_1.l18 + Foods_2_CA_1.l18 + Foods_3_CA_1.l18 + Hobbies_CA_1.l19 + Household_1_CA_1.l19 + Household_2_CA_1.l19 + Foods_1_CA_1.l19 + Foods_2_CA_1.l19 + Foods_3_CA_1.l19 + Hobbies_CA_1.l20 + Household_1_CA_1.l20 + Household_2_CA_1.l20 + Foods_1_CA_1.l20 + Foods_2_CA_1.l20 + Foods_3_CA_1.l20 + Hobbies_CA_1.l21 + Household_1_CA_1.l21 + Household_2_CA_1.l21 + Foods_1_CA_1.l21 + Foods_2_CA_1.l21 + Foods_3_CA_1.l21 + Hobbies_CA_1.l22 + Household_1_CA_1.l22 + Household_2_CA_1.l22 + Foods_1_CA_1.l22 + Foods_2_CA_1.l22 + Foods_3_CA_1.l22 + Hobbies_CA_1.l23 + Household_1_CA_1.l23 + Household_2_CA_1.l23 + Foods_1_CA_1.l23 + Foods_2_CA_1.l23 + Foods_3_CA_1.l23 + Hobbies_CA_1.l24 + Household_1_CA_1.l24 + Household_2_CA_1.l24 + Foods_1_CA_1.l24 + Foods_2_CA_1.l24 + Foods_3_CA_1.l24 + Hobbies_CA_1.l25 + Household_1_CA_1.l25 + Household_2_CA_1.l25 + Foods_1_CA_1.l25 + Foods_2_CA_1.l25 + Foods_3_CA_1.l25 + Hobbies_CA_1.l26 + Household_1_CA_1.l26 + Household_2_CA_1.l26 + Foods_1_CA_1.l26 + Foods_2_CA_1.l26 + Foods_3_CA_1.l26 + Hobbies_CA_1.l27 + Household_1_CA_1.l27 + Household_2_CA_1.l27 + Foods_1_CA_1.l27 + Foods_2_CA_1.l27 + Foods_3_CA_1.l27 + Hobbies_CA_1.l28 + Household_1_CA_1.l28 + Household_2_CA_1.l28 + Foods_1_CA_1.l28 + Foods_2_CA_1.l28 + Foods_3_CA_1.l28 + const 
## 
##                        Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_1.l1       0.0082211  0.0069796   1.178 0.239003    
## Household_1_CA_1.l1   0.0014233  0.0160556   0.089 0.929374    
## Household_2_CA_1.l1   0.1645607  0.0273761   6.011 2.23e-09 ***
## Foods_1_CA_1.l1       0.0382772  0.0181000   2.115 0.034589 *  
## Foods_2_CA_1.l1      -0.0115981  0.0106253  -1.092 0.275179    
## Foods_3_CA_1.l1      -0.0039283  0.0035212  -1.116 0.264743    
## Hobbies_CA_1.l2       0.0053906  0.0070662   0.763 0.445638    
## Household_1_CA_1.l2  -0.0133897  0.0163096  -0.821 0.411775    
## Household_2_CA_1.l2   0.0258441  0.0276235   0.936 0.349615    
## Foods_1_CA_1.l2      -0.0069389  0.0189828  -0.366 0.714756    
## Foods_2_CA_1.l2       0.0031332  0.0113493   0.276 0.782526    
## Foods_3_CA_1.l2      -0.0045163  0.0037177  -1.215 0.224607    
## Hobbies_CA_1.l3       0.0077873  0.0070899   1.098 0.272194    
## Household_1_CA_1.l3   0.0004216  0.0163345   0.026 0.979412    
## Household_2_CA_1.l3   0.0515640  0.0277273   1.860 0.063096 .  
## Foods_1_CA_1.l3       0.0058440  0.0190827   0.306 0.759454    
## Foods_2_CA_1.l3       0.0018813  0.0114368   0.164 0.869362    
## Foods_3_CA_1.l3      -0.0058325  0.0037570  -1.552 0.120736    
## Hobbies_CA_1.l4       0.0006111  0.0070870   0.086 0.931296    
## Household_1_CA_1.l4  -0.0409572  0.0163134  -2.511 0.012139 *  
## Household_2_CA_1.l4   0.0587923  0.0276855   2.124 0.033844 *  
## Foods_1_CA_1.l4      -0.0134468  0.0191507  -0.702 0.482675    
## Foods_2_CA_1.l4       0.0111571  0.0114394   0.975 0.329533    
## Foods_3_CA_1.l4       0.0008692  0.0037532   0.232 0.816889    
## Hobbies_CA_1.l5       0.0024779  0.0070709   0.350 0.726048    
## Household_1_CA_1.l5   0.0296716  0.0163124   1.819 0.069086 .  
## Household_2_CA_1.l5   0.0117679  0.0278141   0.423 0.672281    
## Foods_1_CA_1.l5       0.0212938  0.0191977   1.109 0.267502    
## Foods_2_CA_1.l5       0.0130663  0.0114775   1.138 0.255097    
## Foods_3_CA_1.l5      -0.0124409  0.0037573  -3.311 0.000948 ***
## Hobbies_CA_1.l6      -0.0044855  0.0070722  -0.634 0.526001    
## Household_1_CA_1.l6  -0.0309351  0.0163305  -1.894 0.058345 .  
## Household_2_CA_1.l6   0.1235168  0.0278344   4.438 9.66e-06 ***
## Foods_1_CA_1.l6       0.0161845  0.0191829   0.844 0.398952    
## Foods_2_CA_1.l6      -0.0140814  0.0115088  -1.224 0.221291    
## Foods_3_CA_1.l6       0.0075092  0.0037738   1.990 0.046765 *  
## Hobbies_CA_1.l7       0.0117068  0.0070809   1.653 0.098447 .  
## Household_1_CA_1.l7   0.0111214  0.0164080   0.678 0.497986    
## Household_2_CA_1.l7   0.1094707  0.0279754   3.913 9.46e-05 ***
## Foods_1_CA_1.l7      -0.0524664  0.0191636  -2.738 0.006247 ** 
## Foods_2_CA_1.l7      -0.0012901  0.0115069  -0.112 0.910748    
## Foods_3_CA_1.l7       0.0054792  0.0037880   1.446 0.148220    
## Hobbies_CA_1.l8      -0.0016266  0.0070824  -0.230 0.818374    
## Household_1_CA_1.l8  -0.0246879  0.0163088  -1.514 0.130260    
## Household_2_CA_1.l8   0.0383867  0.0281028   1.366 0.172131    
## Foods_1_CA_1.l8       0.0258843  0.0191708   1.350 0.177125    
## Foods_2_CA_1.l8       0.0055815  0.0115461   0.483 0.628866    
## Foods_3_CA_1.l8       0.0018131  0.0038146   0.475 0.634624    
## Hobbies_CA_1.l9       0.0033956  0.0070959   0.479 0.632337    
## Household_1_CA_1.l9   0.0154686  0.0163099   0.948 0.343048    
## Household_2_CA_1.l9   0.0240258  0.0280500   0.857 0.391818    
## Foods_1_CA_1.l9      -0.0299668  0.0191729  -1.563 0.118237    
## Foods_2_CA_1.l9       0.0115894  0.0115362   1.005 0.315221    
## Foods_3_CA_1.l9      -0.0034671  0.0038029  -0.912 0.362053    
## Hobbies_CA_1.l10      0.0139446  0.0070759   1.971 0.048913 *  
## Household_1_CA_1.l10  0.0068541  0.0162881   0.421 0.673950    
## Household_2_CA_1.l10  0.0317029  0.0280332   1.131 0.258249    
## Foods_1_CA_1.l10     -0.0324125  0.0191961  -1.688 0.091492 .  
## Foods_2_CA_1.l10     -0.0169440  0.0115489  -1.467 0.142514    
## Foods_3_CA_1.l10      0.0048593  0.0038179   1.273 0.203266    
## Hobbies_CA_1.l11      0.0011904  0.0070751   0.168 0.866404    
## Household_1_CA_1.l11  0.0174857  0.0162435   1.076 0.281864    
## Household_2_CA_1.l11 -0.0102985  0.0280557  -0.367 0.713608    
## Foods_1_CA_1.l11     -0.0034255  0.0192235  -0.178 0.858592    
## Foods_2_CA_1.l11     -0.0026459  0.0115599  -0.229 0.818983    
## Foods_3_CA_1.l11      0.0028942  0.0038177   0.758 0.448480    
## Hobbies_CA_1.l12     -0.0020646  0.0070781  -0.292 0.770555    
## Household_1_CA_1.l12 -0.0040901  0.0162753  -0.251 0.801608    
## Household_2_CA_1.l12 -0.0005838  0.0280109  -0.021 0.983374    
## Foods_1_CA_1.l12      0.0382783  0.0192328   1.990 0.046715 *  
## Foods_2_CA_1.l12      0.0083005  0.0115694   0.717 0.473193    
## Foods_3_CA_1.l12     -0.0025799  0.0038158  -0.676 0.499061    
## Hobbies_CA_1.l13     -0.0123669  0.0070637  -1.751 0.080159 .  
## Household_1_CA_1.l13  0.0031436  0.0162584   0.193 0.846705    
## Household_2_CA_1.l13  0.0578332  0.0279283   2.071 0.038525 *  
## Foods_1_CA_1.l13      0.0296627  0.0192709   1.539 0.123922    
## Foods_2_CA_1.l13     -0.0309191  0.0115897  -2.668 0.007705 ** 
## Foods_3_CA_1.l13      0.0052349  0.0038217   1.370 0.170928    
## Hobbies_CA_1.l14     -0.0031564  0.0070534  -0.448 0.654562    
## Household_1_CA_1.l14  0.0686461  0.0163034   4.211 2.68e-05 ***
## Household_2_CA_1.l14  0.0491711  0.0279038   1.762 0.078214 .  
## Foods_1_CA_1.l14     -0.0013674  0.0192901  -0.071 0.943495    
## Foods_2_CA_1.l14      0.0258577  0.0116085   2.227 0.026040 *  
## Foods_3_CA_1.l14     -0.0035023  0.0038069  -0.920 0.357706    
## Hobbies_CA_1.l15      0.0072458  0.0070617   1.026 0.304996    
## Household_1_CA_1.l15 -0.0545690  0.0164029  -3.327 0.000896 ***
## Household_2_CA_1.l15  0.0031254  0.0278103   0.112 0.910532    
## Foods_1_CA_1.l15     -0.0134959  0.0192912  -0.700 0.484276    
## Foods_2_CA_1.l15      0.0236708  0.0115757   2.045 0.041015 *  
## Foods_3_CA_1.l15     -0.0014014  0.0037935  -0.369 0.711863    
## Hobbies_CA_1.l16     -0.0048483  0.0070721  -0.686 0.493084    
## Household_1_CA_1.l16 -0.0053081  0.0164263  -0.323 0.746624    
## Household_2_CA_1.l16  0.0004360  0.0277556   0.016 0.987469    
## Foods_1_CA_1.l16     -0.0155337  0.0192933  -0.805 0.420850    
## Foods_2_CA_1.l16     -0.0306528  0.0115822  -2.647 0.008204 ** 
## Foods_3_CA_1.l16      0.0073810  0.0037893   1.948 0.051593 .  
## Hobbies_CA_1.l17     -0.0053570  0.0070610  -0.759 0.448147    
## Household_1_CA_1.l17  0.0387600  0.0164355   2.358 0.018467 *  
## Household_2_CA_1.l17  0.0231876  0.0277521   0.836 0.403535    
## Foods_1_CA_1.l17     -0.0286401  0.0193093  -1.483 0.138193    
## Foods_2_CA_1.l17      0.0161956  0.0115861   1.398 0.162334    
## Foods_3_CA_1.l17     -0.0072864  0.0037900  -1.923 0.054701 .  
## Hobbies_CA_1.l18     -0.0009082  0.0070530  -0.129 0.897557    
## Household_1_CA_1.l18  0.0122747  0.0164769   0.745 0.456392    
## Household_2_CA_1.l18  0.0189683  0.0277203   0.684 0.493892    
## Foods_1_CA_1.l18      0.0026933  0.0193148   0.139 0.889117    
## Foods_2_CA_1.l18     -0.0054441  0.0115875  -0.470 0.638542    
## Foods_3_CA_1.l18      0.0023476  0.0037887   0.620 0.535591    
## Hobbies_CA_1.l19      0.0019455  0.0070614   0.276 0.782954    
## Household_1_CA_1.l19  0.0158490  0.0164736   0.962 0.336138    
## Household_2_CA_1.l19  0.0171111  0.0277691   0.616 0.537847    
## Foods_1_CA_1.l19     -0.0061406  0.0192914  -0.318 0.750291    
## Foods_2_CA_1.l19      0.0048287  0.0115959   0.416 0.677155    
## Foods_3_CA_1.l19     -0.0082913  0.0037975  -2.183 0.029143 *  
## Hobbies_CA_1.l20      0.0029849  0.0070677   0.422 0.672841    
## Household_1_CA_1.l20  0.0184444  0.0164948   1.118 0.263635    
## Household_2_CA_1.l20  0.0470140  0.0277580   1.694 0.090496 .  
## Foods_1_CA_1.l20     -0.0230601  0.0192454  -1.198 0.230993    
## Foods_2_CA_1.l20     -0.0043161  0.0116044  -0.372 0.709984    
## Foods_3_CA_1.l20     -0.0016056  0.0037982  -0.423 0.672550    
## Hobbies_CA_1.l21     -0.0112417  0.0070537  -1.594 0.111175    
## Household_1_CA_1.l21  0.0059605  0.0164891   0.361 0.717782    
## Household_2_CA_1.l21  0.0762934  0.0278169   2.743 0.006155 ** 
## Foods_1_CA_1.l21      0.0065434  0.0192530   0.340 0.734001    
## Foods_2_CA_1.l21     -0.0082086  0.0116092  -0.707 0.479612    
## Foods_3_CA_1.l21      0.0034639  0.0037923   0.913 0.361152    
## Hobbies_CA_1.l22     -0.0048464  0.0070334  -0.689 0.490874    
## Household_1_CA_1.l22 -0.0219818  0.0166214  -1.322 0.186174    
## Household_2_CA_1.l22  0.0158033  0.0276799   0.571 0.568119    
## Foods_1_CA_1.l22      0.0168537  0.0192632   0.875 0.381738    
## Foods_2_CA_1.l22      0.0125503  0.0115751   1.084 0.278404    
## Foods_3_CA_1.l22     -0.0011336  0.0037715  -0.301 0.763785    
## Hobbies_CA_1.l23     -0.0111062  0.0070267  -1.581 0.114154    
## Household_1_CA_1.l23 -0.0094090  0.0165981  -0.567 0.570872    
## Household_2_CA_1.l23  0.0014728  0.0275542   0.053 0.957378    
## Foods_1_CA_1.l23      0.0081347  0.0192947   0.422 0.673368    
## Foods_2_CA_1.l23      0.0025100  0.0115531   0.217 0.828032    
## Foods_3_CA_1.l23     -0.0008740  0.0037604  -0.232 0.816226    
## Hobbies_CA_1.l24     -0.0062168  0.0070280  -0.885 0.376502    
## Household_1_CA_1.l24 -0.0294581  0.0164909  -1.786 0.074217 .  
## Household_2_CA_1.l24 -0.0206051  0.0275269  -0.749 0.454231    
## Foods_1_CA_1.l24      0.0214148  0.0193410   1.107 0.268347    
## Foods_2_CA_1.l24     -0.0173614  0.0115363  -1.505 0.132519    
## Foods_3_CA_1.l24      0.0083345  0.0037637   2.214 0.026924 *  
## Hobbies_CA_1.l25      0.0036206  0.0070349   0.515 0.606854    
## Household_1_CA_1.l25 -0.0437706  0.0164824  -2.656 0.007988 ** 
## Household_2_CA_1.l25 -0.0014639  0.0274408  -0.053 0.957460    
## Foods_1_CA_1.l25     -0.0115736  0.0193233  -0.599 0.549287    
## Foods_2_CA_1.l25     -0.0140031  0.0115205  -1.215 0.224340    
## Foods_3_CA_1.l25      0.0023554  0.0037682   0.625 0.531996    
## Hobbies_CA_1.l26     -0.0019313  0.0070343  -0.275 0.783689    
## Household_1_CA_1.l26  0.0027597  0.0165123   0.167 0.867285    
## Household_2_CA_1.l26  0.0074658  0.0273994   0.272 0.785286    
## Foods_1_CA_1.l26     -0.0029161  0.0191855  -0.152 0.879207    
## Foods_2_CA_1.l26      0.0099128  0.0115196   0.861 0.389619    
## Foods_3_CA_1.l26     -0.0011268  0.0037677  -0.299 0.764918    
## Hobbies_CA_1.l27      0.0123684  0.0069890   1.770 0.076948 .  
## Household_1_CA_1.l27  0.0165116  0.0164463   1.004 0.315532    
## Household_2_CA_1.l27 -0.0334090  0.0273211  -1.223 0.221558    
## Foods_1_CA_1.l27     -0.0059477  0.0190633  -0.312 0.755077    
## Foods_2_CA_1.l27     -0.0087574  0.0114180  -0.767 0.443195    
## Foods_3_CA_1.l27      0.0030939  0.0037379   0.828 0.407955    
## Hobbies_CA_1.l28      0.0019754  0.0068653   0.288 0.773580    
## Household_1_CA_1.l28  0.0134019  0.0159542   0.840 0.401008    
## Household_2_CA_1.l28  0.0283285  0.0270096   1.049 0.294398    
## Foods_1_CA_1.l28      0.0464430  0.0181806   2.555 0.010716 *  
## Foods_2_CA_1.l28      0.0009426  0.0107403   0.088 0.930077    
## Foods_3_CA_1.l28      0.0061911  0.0035256   1.756 0.079249 .  
## const                -1.8572724  5.7739860  -0.322 0.747747    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 16.54 on 1772 degrees of freedom
## Multiple R-Squared: 0.7587,  Adjusted R-squared: 0.7358 
## F-statistic: 33.16 on 168 and 1772 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Foods_1_CA_1: 
## ============================================= 
## Foods_1_CA_1 = Hobbies_CA_1.l1 + Household_1_CA_1.l1 + Household_2_CA_1.l1 + Foods_1_CA_1.l1 + Foods_2_CA_1.l1 + Foods_3_CA_1.l1 + Hobbies_CA_1.l2 + Household_1_CA_1.l2 + Household_2_CA_1.l2 + Foods_1_CA_1.l2 + Foods_2_CA_1.l2 + Foods_3_CA_1.l2 + Hobbies_CA_1.l3 + Household_1_CA_1.l3 + Household_2_CA_1.l3 + Foods_1_CA_1.l3 + Foods_2_CA_1.l3 + Foods_3_CA_1.l3 + Hobbies_CA_1.l4 + Household_1_CA_1.l4 + Household_2_CA_1.l4 + Foods_1_CA_1.l4 + Foods_2_CA_1.l4 + Foods_3_CA_1.l4 + Hobbies_CA_1.l5 + Household_1_CA_1.l5 + Household_2_CA_1.l5 + Foods_1_CA_1.l5 + Foods_2_CA_1.l5 + Foods_3_CA_1.l5 + Hobbies_CA_1.l6 + Household_1_CA_1.l6 + Household_2_CA_1.l6 + Foods_1_CA_1.l6 + Foods_2_CA_1.l6 + Foods_3_CA_1.l6 + Hobbies_CA_1.l7 + Household_1_CA_1.l7 + Household_2_CA_1.l7 + Foods_1_CA_1.l7 + Foods_2_CA_1.l7 + Foods_3_CA_1.l7 + Hobbies_CA_1.l8 + Household_1_CA_1.l8 + Household_2_CA_1.l8 + Foods_1_CA_1.l8 + Foods_2_CA_1.l8 + Foods_3_CA_1.l8 + Hobbies_CA_1.l9 + Household_1_CA_1.l9 + Household_2_CA_1.l9 + Foods_1_CA_1.l9 + Foods_2_CA_1.l9 + Foods_3_CA_1.l9 + Hobbies_CA_1.l10 + Household_1_CA_1.l10 + Household_2_CA_1.l10 + Foods_1_CA_1.l10 + Foods_2_CA_1.l10 + Foods_3_CA_1.l10 + Hobbies_CA_1.l11 + Household_1_CA_1.l11 + Household_2_CA_1.l11 + Foods_1_CA_1.l11 + Foods_2_CA_1.l11 + Foods_3_CA_1.l11 + Hobbies_CA_1.l12 + Household_1_CA_1.l12 + Household_2_CA_1.l12 + Foods_1_CA_1.l12 + Foods_2_CA_1.l12 + Foods_3_CA_1.l12 + Hobbies_CA_1.l13 + Household_1_CA_1.l13 + Household_2_CA_1.l13 + Foods_1_CA_1.l13 + Foods_2_CA_1.l13 + Foods_3_CA_1.l13 + Hobbies_CA_1.l14 + Household_1_CA_1.l14 + Household_2_CA_1.l14 + Foods_1_CA_1.l14 + Foods_2_CA_1.l14 + Foods_3_CA_1.l14 + Hobbies_CA_1.l15 + Household_1_CA_1.l15 + Household_2_CA_1.l15 + Foods_1_CA_1.l15 + Foods_2_CA_1.l15 + Foods_3_CA_1.l15 + Hobbies_CA_1.l16 + Household_1_CA_1.l16 + Household_2_CA_1.l16 + Foods_1_CA_1.l16 + Foods_2_CA_1.l16 + Foods_3_CA_1.l16 + Hobbies_CA_1.l17 + Household_1_CA_1.l17 + Household_2_CA_1.l17 + Foods_1_CA_1.l17 + Foods_2_CA_1.l17 + Foods_3_CA_1.l17 + Hobbies_CA_1.l18 + Household_1_CA_1.l18 + Household_2_CA_1.l18 + Foods_1_CA_1.l18 + Foods_2_CA_1.l18 + Foods_3_CA_1.l18 + Hobbies_CA_1.l19 + Household_1_CA_1.l19 + Household_2_CA_1.l19 + Foods_1_CA_1.l19 + Foods_2_CA_1.l19 + Foods_3_CA_1.l19 + Hobbies_CA_1.l20 + Household_1_CA_1.l20 + Household_2_CA_1.l20 + Foods_1_CA_1.l20 + Foods_2_CA_1.l20 + Foods_3_CA_1.l20 + Hobbies_CA_1.l21 + Household_1_CA_1.l21 + Household_2_CA_1.l21 + Foods_1_CA_1.l21 + Foods_2_CA_1.l21 + Foods_3_CA_1.l21 + Hobbies_CA_1.l22 + Household_1_CA_1.l22 + Household_2_CA_1.l22 + Foods_1_CA_1.l22 + Foods_2_CA_1.l22 + Foods_3_CA_1.l22 + Hobbies_CA_1.l23 + Household_1_CA_1.l23 + Household_2_CA_1.l23 + Foods_1_CA_1.l23 + Foods_2_CA_1.l23 + Foods_3_CA_1.l23 + Hobbies_CA_1.l24 + Household_1_CA_1.l24 + Household_2_CA_1.l24 + Foods_1_CA_1.l24 + Foods_2_CA_1.l24 + Foods_3_CA_1.l24 + Hobbies_CA_1.l25 + Household_1_CA_1.l25 + Household_2_CA_1.l25 + Foods_1_CA_1.l25 + Foods_2_CA_1.l25 + Foods_3_CA_1.l25 + Hobbies_CA_1.l26 + Household_1_CA_1.l26 + Household_2_CA_1.l26 + Foods_1_CA_1.l26 + Foods_2_CA_1.l26 + Foods_3_CA_1.l26 + Hobbies_CA_1.l27 + Household_1_CA_1.l27 + Household_2_CA_1.l27 + Foods_1_CA_1.l27 + Foods_2_CA_1.l27 + Foods_3_CA_1.l27 + Hobbies_CA_1.l28 + Household_1_CA_1.l28 + Household_2_CA_1.l28 + Foods_1_CA_1.l28 + Foods_2_CA_1.l28 + Foods_3_CA_1.l28 + const 
## 
##                        Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_1.l1       0.0213316  0.0104386   2.044 0.041147 *  
## Household_1_CA_1.l1   0.0503427  0.0240124   2.097 0.036177 *  
## Household_2_CA_1.l1   0.0285376  0.0409432   0.697 0.485891    
## Foods_1_CA_1.l1       0.3475585  0.0270700  12.839  < 2e-16 ***
## Foods_2_CA_1.l1      -0.0155168  0.0158910  -0.976 0.328975    
## Foods_3_CA_1.l1      -0.0093819  0.0052662  -1.782 0.075000 .  
## Hobbies_CA_1.l2      -0.0093501  0.0105681  -0.885 0.376410    
## Household_1_CA_1.l2  -0.0146887  0.0243924  -0.602 0.547130    
## Household_2_CA_1.l2  -0.0585134  0.0413133  -1.416 0.156854    
## Foods_1_CA_1.l2       0.1000465  0.0283904   3.524 0.000436 ***
## Foods_2_CA_1.l2      -0.0156750  0.0169739  -0.923 0.355886    
## Foods_3_CA_1.l2      -0.0047788  0.0055602  -0.859 0.390199    
## Hobbies_CA_1.l3      -0.0060770  0.0106036  -0.573 0.566645    
## Household_1_CA_1.l3  -0.0109247  0.0244296  -0.447 0.654791    
## Household_2_CA_1.l3   0.0056153  0.0414685   0.135 0.892302    
## Foods_1_CA_1.l3       0.1000067  0.0285398   3.504 0.000470 ***
## Foods_2_CA_1.l3       0.0010005  0.0171047   0.058 0.953363    
## Foods_3_CA_1.l3       0.0021437  0.0056189   0.382 0.702862    
## Hobbies_CA_1.l4       0.0008281  0.0105992   0.078 0.937733    
## Household_1_CA_1.l4  -0.0323543  0.0243981  -1.326 0.184977    
## Household_2_CA_1.l4  -0.0675498  0.0414059  -1.631 0.102983    
## Foods_1_CA_1.l4       0.0536315  0.0286415   1.873 0.061300 .  
## Foods_2_CA_1.l4      -0.0243176  0.0171086  -1.421 0.155386    
## Foods_3_CA_1.l4       0.0051441  0.0056133   0.916 0.359577    
## Hobbies_CA_1.l5       0.0079600  0.0105751   0.753 0.451726    
## Household_1_CA_1.l5   0.0088748  0.0243965   0.364 0.716071    
## Household_2_CA_1.l5  -0.0204273  0.0415983  -0.491 0.623445    
## Foods_1_CA_1.l5       0.0358095  0.0287118   1.247 0.212487    
## Foods_2_CA_1.l5       0.0379395  0.0171656   2.210 0.027219 *  
## Foods_3_CA_1.l5      -0.0110188  0.0056194  -1.961 0.050053 .  
## Hobbies_CA_1.l6      -0.0235121  0.0105771  -2.223 0.026346 *  
## Household_1_CA_1.l6   0.0070339  0.0244236   0.288 0.773385    
## Household_2_CA_1.l6   0.0422468  0.0416287   1.015 0.310317    
## Foods_1_CA_1.l6       0.0356889  0.0286896   1.244 0.213676    
## Foods_2_CA_1.l6      -0.0083856  0.0172124  -0.487 0.626191    
## Foods_3_CA_1.l6       0.0057919  0.0056440   1.026 0.304936    
## Hobbies_CA_1.l7       0.0044777  0.0105900   0.423 0.672476    
## Household_1_CA_1.l7   0.0427475  0.0245396   1.742 0.081685 .  
## Household_2_CA_1.l7   0.0300831  0.0418395   0.719 0.472229    
## Foods_1_CA_1.l7      -0.0148369  0.0286608  -0.518 0.604753    
## Foods_2_CA_1.l7       0.0030052  0.0172095   0.175 0.861396    
## Foods_3_CA_1.l7       0.0026053  0.0056652   0.460 0.645656    
## Hobbies_CA_1.l8      -0.0143994  0.0105923  -1.359 0.174185    
## Household_1_CA_1.l8  -0.0229293  0.0243912  -0.940 0.347313    
## Household_2_CA_1.l8   0.0025422  0.0420301   0.060 0.951775    
## Foods_1_CA_1.l8       0.0493545  0.0286715   1.721 0.085357 .  
## Foods_2_CA_1.l8       0.0015356  0.0172681   0.089 0.929149    
## Foods_3_CA_1.l8       0.0060240  0.0057051   1.056 0.291161    
## Hobbies_CA_1.l9       0.0091318  0.0106125   0.860 0.389642    
## Household_1_CA_1.l9   0.0279633  0.0243928   1.146 0.251795    
## Household_2_CA_1.l9  -0.0388630  0.0419511  -0.926 0.354371    
## Foods_1_CA_1.l9      -0.0509346  0.0286747  -1.776 0.075856 .  
## Foods_2_CA_1.l9       0.0555580  0.0172534   3.220 0.001305 ** 
## Foods_3_CA_1.l9      -0.0194207  0.0056875  -3.415 0.000653 ***
## Hobbies_CA_1.l10      0.0110949  0.0105826   1.048 0.294592    
## Household_1_CA_1.l10 -0.0183908  0.0243602  -0.755 0.450379    
## Household_2_CA_1.l10  0.0151248  0.0419260   0.361 0.718329    
## Foods_1_CA_1.l10     -0.0486630  0.0287093  -1.695 0.090247 .  
## Foods_2_CA_1.l10     -0.0083888  0.0172724  -0.486 0.627258    
## Foods_3_CA_1.l10      0.0057543  0.0057100   1.008 0.313708    
## Hobbies_CA_1.l11     -0.0020912  0.0105815  -0.198 0.843357    
## Household_1_CA_1.l11  0.0018902  0.0242936   0.078 0.937992    
## Household_2_CA_1.l11  0.0144663  0.0419596   0.345 0.730311    
## Foods_1_CA_1.l11     -0.0485347  0.0287504  -1.688 0.091560 .  
## Foods_2_CA_1.l11      0.0255676  0.0172888   1.479 0.139358    
## Foods_3_CA_1.l11     -0.0080839  0.0057096  -1.416 0.157000    
## Hobbies_CA_1.l12     -0.0049527  0.0105859  -0.468 0.639942    
## Household_1_CA_1.l12 -0.0151134  0.0243411  -0.621 0.534744    
## Household_2_CA_1.l12 -0.0202356  0.0418926  -0.483 0.629131    
## Foods_1_CA_1.l12      0.0434341  0.0287642   1.510 0.131220    
## Foods_2_CA_1.l12     -0.0015495  0.0173030  -0.090 0.928653    
## Foods_3_CA_1.l12     -0.0013461  0.0057068  -0.236 0.813552    
## Hobbies_CA_1.l13     -0.0085536  0.0105644  -0.810 0.418243    
## Household_1_CA_1.l13  0.0012613  0.0243158   0.052 0.958638    
## Household_2_CA_1.l13  0.0053166  0.0417692   0.127 0.898729    
## Foods_1_CA_1.l13      0.0464379  0.0288212   1.611 0.107306    
## Foods_2_CA_1.l13     -0.0172219  0.0173334  -0.994 0.320570    
## Foods_3_CA_1.l13      0.0010600  0.0057157   0.185 0.852894    
## Hobbies_CA_1.l14     -0.0027064  0.0105489  -0.257 0.797546    
## Household_1_CA_1.l14  0.0707751  0.0243832   2.903 0.003746 ** 
## Household_2_CA_1.l14 -0.0035866  0.0417325  -0.086 0.931522    
## Foods_1_CA_1.l14      0.0378413  0.0288499   1.312 0.189805    
## Foods_2_CA_1.l14     -0.0024152  0.0173615  -0.139 0.889377    
## Foods_3_CA_1.l14      0.0011767  0.0056936   0.207 0.836284    
## Hobbies_CA_1.l15      0.0014960  0.0105614   0.142 0.887370    
## Household_1_CA_1.l15 -0.0172362  0.0245319  -0.703 0.482396    
## Household_2_CA_1.l15  0.0005112  0.0415926   0.012 0.990195    
## Foods_1_CA_1.l15     -0.0238991  0.0288517  -0.828 0.407587    
## Foods_2_CA_1.l15     -0.0064317  0.0173124  -0.372 0.710303    
## Foods_3_CA_1.l15      0.0007466  0.0056735   0.132 0.895325    
## Hobbies_CA_1.l16      0.0127712  0.0105768   1.207 0.227413    
## Household_1_CA_1.l16 -0.0436429  0.0245669  -1.776 0.075823 .  
## Household_2_CA_1.l16  0.0537229  0.0415108   1.294 0.195768    
## Foods_1_CA_1.l16     -0.0370611  0.0288547  -1.284 0.199167    
## Foods_2_CA_1.l16      0.0111971  0.0173222   0.646 0.518100    
## Foods_3_CA_1.l16      0.0012093  0.0056673   0.213 0.831049    
## Hobbies_CA_1.l17     -0.0087110  0.0105602  -0.825 0.409545    
## Household_1_CA_1.l17  0.0608005  0.0245807   2.474 0.013473 *  
## Household_2_CA_1.l17 -0.0056438  0.0415056  -0.136 0.891856    
## Foods_1_CA_1.l17     -0.0457871  0.0288787  -1.585 0.113032    
## Foods_2_CA_1.l17      0.0048499  0.0173280   0.280 0.779596    
## Foods_3_CA_1.l17     -0.0061222  0.0056683  -1.080 0.280255    
## Hobbies_CA_1.l18      0.0006435  0.0105483   0.061 0.951360    
## Household_1_CA_1.l18 -0.0036384  0.0246425  -0.148 0.882639    
## Household_2_CA_1.l18  0.0443283  0.0414580   1.069 0.285111    
## Foods_1_CA_1.l18      0.0060259  0.0288869   0.209 0.834782    
## Foods_2_CA_1.l18     -0.0058200  0.0173301  -0.336 0.737038    
## Foods_3_CA_1.l18     -0.0003387  0.0056664  -0.060 0.952337    
## Hobbies_CA_1.l19     -0.0042537  0.0105609  -0.403 0.687163    
## Household_1_CA_1.l19  0.0124291  0.0246376   0.504 0.613989    
## Household_2_CA_1.l19  0.0161575  0.0415310   0.389 0.697288    
## Foods_1_CA_1.l19      0.0226181  0.0288519   0.784 0.433182    
## Foods_2_CA_1.l19      0.0036258  0.0173427   0.209 0.834420    
## Foods_3_CA_1.l19     -0.0019116  0.0056795  -0.337 0.736475    
## Hobbies_CA_1.l20     -0.0011135  0.0105704  -0.105 0.916117    
## Household_1_CA_1.l20  0.0131939  0.0246694   0.535 0.592836    
## Household_2_CA_1.l20 -0.0165868  0.0415144  -0.400 0.689541    
## Foods_1_CA_1.l20     -0.0640948  0.0287830  -2.227 0.026084 *  
## Foods_2_CA_1.l20      0.0021257  0.0173553   0.122 0.902531    
## Foods_3_CA_1.l20     -0.0032121  0.0056806  -0.565 0.571832    
## Hobbies_CA_1.l21     -0.0040268  0.0105494  -0.382 0.702722    
## Household_1_CA_1.l21  0.0487290  0.0246608   1.976 0.048313 *  
## Household_2_CA_1.l21  0.0514825  0.0416024   1.237 0.216070    
## Foods_1_CA_1.l21      0.0152425  0.0287945   0.529 0.596626    
## Foods_2_CA_1.l21     -0.0080629  0.0173625  -0.464 0.642427    
## Foods_3_CA_1.l21      0.0006802  0.0056717   0.120 0.904547    
## Hobbies_CA_1.l22      0.0154703  0.0105190   1.471 0.141550    
## Household_1_CA_1.l22 -0.0156258  0.0248587  -0.629 0.529702    
## Household_2_CA_1.l22  0.0595562  0.0413976   1.439 0.150429    
## Foods_1_CA_1.l22      0.0141021  0.0288098   0.489 0.624556    
## Foods_2_CA_1.l22     -0.0042550  0.0173116  -0.246 0.805875    
## Foods_3_CA_1.l22     -0.0078579  0.0056406  -1.393 0.163765    
## Hobbies_CA_1.l23     -0.0201036  0.0105090  -1.913 0.055909 .  
## Household_1_CA_1.l23 -0.0048486  0.0248239  -0.195 0.845164    
## Household_2_CA_1.l23  0.0300855  0.0412097   0.730 0.465450    
## Foods_1_CA_1.l23      0.0074480  0.0288568   0.258 0.796359    
## Foods_2_CA_1.l23     -0.0177428  0.0172786  -1.027 0.304623    
## Foods_3_CA_1.l23      0.0122417  0.0056239   2.177 0.029633 *  
## Hobbies_CA_1.l24     -0.0095389  0.0105109  -0.908 0.364254    
## Household_1_CA_1.l24 -0.0245275  0.0246635  -0.994 0.320122    
## Household_2_CA_1.l24 -0.0130827  0.0411688  -0.318 0.750688    
## Foods_1_CA_1.l24      0.0097422  0.0289261   0.337 0.736310    
## Foods_2_CA_1.l24     -0.0040660  0.0172536  -0.236 0.813721    
## Foods_3_CA_1.l24      0.0023036  0.0056289   0.409 0.682413    
## Hobbies_CA_1.l25      0.0194660  0.0105213   1.850 0.064458 .  
## Household_1_CA_1.l25 -0.0265972  0.0246508  -1.079 0.280752    
## Household_2_CA_1.l25 -0.0170559  0.0410400  -0.416 0.677758    
## Foods_1_CA_1.l25      0.0138995  0.0288997   0.481 0.630607    
## Foods_2_CA_1.l25     -0.0035309  0.0172299  -0.205 0.837653    
## Foods_3_CA_1.l25      0.0018470  0.0056357   0.328 0.743156    
## Hobbies_CA_1.l26     -0.0035732  0.0105205  -0.340 0.734162    
## Household_1_CA_1.l26 -0.0126343  0.0246956  -0.512 0.608992    
## Household_2_CA_1.l26  0.0190312  0.0409782   0.464 0.642401    
## Foods_1_CA_1.l26      0.0370213  0.0286935   1.290 0.197138    
## Foods_2_CA_1.l26     -0.0044257  0.0172285  -0.257 0.797298    
## Foods_3_CA_1.l26      0.0008277  0.0056349   0.147 0.883235    
## Hobbies_CA_1.l27      0.0025268  0.0104526   0.242 0.809010    
## Household_1_CA_1.l27 -0.0188671  0.0245969  -0.767 0.443153    
## Household_2_CA_1.l27 -0.0325672  0.0408610  -0.797 0.425544    
## Foods_1_CA_1.l27      0.0815252  0.0285107   2.859 0.004293 ** 
## Foods_2_CA_1.l27      0.0036106  0.0170766   0.211 0.832573    
## Foods_3_CA_1.l27      0.0004589  0.0055904   0.082 0.934587    
## Hobbies_CA_1.l28     -0.0096550  0.0102677  -0.940 0.347176    
## Household_1_CA_1.l28 -0.0309628  0.0238608  -1.298 0.194580    
## Household_2_CA_1.l28  0.0098118  0.0403951   0.243 0.808115    
## Foods_1_CA_1.l28      0.0971543  0.0271907   3.573 0.000362 ***
## Foods_2_CA_1.l28     -0.0033205  0.0160630  -0.207 0.836253    
## Foods_3_CA_1.l28      0.0135305  0.0052728   2.566 0.010366 *  
## const                29.5575252  8.6354775   3.423 0.000634 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 24.73 on 1772 degrees of freedom
## Multiple R-Squared: 0.6464,  Adjusted R-squared: 0.6129 
## F-statistic: 19.28 on 168 and 1772 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Foods_2_CA_1: 
## ============================================= 
## Foods_2_CA_1 = Hobbies_CA_1.l1 + Household_1_CA_1.l1 + Household_2_CA_1.l1 + Foods_1_CA_1.l1 + Foods_2_CA_1.l1 + Foods_3_CA_1.l1 + Hobbies_CA_1.l2 + Household_1_CA_1.l2 + Household_2_CA_1.l2 + Foods_1_CA_1.l2 + Foods_2_CA_1.l2 + Foods_3_CA_1.l2 + Hobbies_CA_1.l3 + Household_1_CA_1.l3 + Household_2_CA_1.l3 + Foods_1_CA_1.l3 + Foods_2_CA_1.l3 + Foods_3_CA_1.l3 + Hobbies_CA_1.l4 + Household_1_CA_1.l4 + Household_2_CA_1.l4 + Foods_1_CA_1.l4 + Foods_2_CA_1.l4 + Foods_3_CA_1.l4 + Hobbies_CA_1.l5 + Household_1_CA_1.l5 + Household_2_CA_1.l5 + Foods_1_CA_1.l5 + Foods_2_CA_1.l5 + Foods_3_CA_1.l5 + Hobbies_CA_1.l6 + Household_1_CA_1.l6 + Household_2_CA_1.l6 + Foods_1_CA_1.l6 + Foods_2_CA_1.l6 + Foods_3_CA_1.l6 + Hobbies_CA_1.l7 + Household_1_CA_1.l7 + Household_2_CA_1.l7 + Foods_1_CA_1.l7 + Foods_2_CA_1.l7 + Foods_3_CA_1.l7 + Hobbies_CA_1.l8 + Household_1_CA_1.l8 + Household_2_CA_1.l8 + Foods_1_CA_1.l8 + Foods_2_CA_1.l8 + Foods_3_CA_1.l8 + Hobbies_CA_1.l9 + Household_1_CA_1.l9 + Household_2_CA_1.l9 + Foods_1_CA_1.l9 + Foods_2_CA_1.l9 + Foods_3_CA_1.l9 + Hobbies_CA_1.l10 + Household_1_CA_1.l10 + Household_2_CA_1.l10 + Foods_1_CA_1.l10 + Foods_2_CA_1.l10 + Foods_3_CA_1.l10 + Hobbies_CA_1.l11 + Household_1_CA_1.l11 + Household_2_CA_1.l11 + Foods_1_CA_1.l11 + Foods_2_CA_1.l11 + Foods_3_CA_1.l11 + Hobbies_CA_1.l12 + Household_1_CA_1.l12 + Household_2_CA_1.l12 + Foods_1_CA_1.l12 + Foods_2_CA_1.l12 + Foods_3_CA_1.l12 + Hobbies_CA_1.l13 + Household_1_CA_1.l13 + Household_2_CA_1.l13 + Foods_1_CA_1.l13 + Foods_2_CA_1.l13 + Foods_3_CA_1.l13 + Hobbies_CA_1.l14 + Household_1_CA_1.l14 + Household_2_CA_1.l14 + Foods_1_CA_1.l14 + Foods_2_CA_1.l14 + Foods_3_CA_1.l14 + Hobbies_CA_1.l15 + Household_1_CA_1.l15 + Household_2_CA_1.l15 + Foods_1_CA_1.l15 + Foods_2_CA_1.l15 + Foods_3_CA_1.l15 + Hobbies_CA_1.l16 + Household_1_CA_1.l16 + Household_2_CA_1.l16 + Foods_1_CA_1.l16 + Foods_2_CA_1.l16 + Foods_3_CA_1.l16 + Hobbies_CA_1.l17 + Household_1_CA_1.l17 + Household_2_CA_1.l17 + Foods_1_CA_1.l17 + Foods_2_CA_1.l17 + Foods_3_CA_1.l17 + Hobbies_CA_1.l18 + Household_1_CA_1.l18 + Household_2_CA_1.l18 + Foods_1_CA_1.l18 + Foods_2_CA_1.l18 + Foods_3_CA_1.l18 + Hobbies_CA_1.l19 + Household_1_CA_1.l19 + Household_2_CA_1.l19 + Foods_1_CA_1.l19 + Foods_2_CA_1.l19 + Foods_3_CA_1.l19 + Hobbies_CA_1.l20 + Household_1_CA_1.l20 + Household_2_CA_1.l20 + Foods_1_CA_1.l20 + Foods_2_CA_1.l20 + Foods_3_CA_1.l20 + Hobbies_CA_1.l21 + Household_1_CA_1.l21 + Household_2_CA_1.l21 + Foods_1_CA_1.l21 + Foods_2_CA_1.l21 + Foods_3_CA_1.l21 + Hobbies_CA_1.l22 + Household_1_CA_1.l22 + Household_2_CA_1.l22 + Foods_1_CA_1.l22 + Foods_2_CA_1.l22 + Foods_3_CA_1.l22 + Hobbies_CA_1.l23 + Household_1_CA_1.l23 + Household_2_CA_1.l23 + Foods_1_CA_1.l23 + Foods_2_CA_1.l23 + Foods_3_CA_1.l23 + Hobbies_CA_1.l24 + Household_1_CA_1.l24 + Household_2_CA_1.l24 + Foods_1_CA_1.l24 + Foods_2_CA_1.l24 + Foods_3_CA_1.l24 + Hobbies_CA_1.l25 + Household_1_CA_1.l25 + Household_2_CA_1.l25 + Foods_1_CA_1.l25 + Foods_2_CA_1.l25 + Foods_3_CA_1.l25 + Hobbies_CA_1.l26 + Household_1_CA_1.l26 + Household_2_CA_1.l26 + Foods_1_CA_1.l26 + Foods_2_CA_1.l26 + Foods_3_CA_1.l26 + Hobbies_CA_1.l27 + Household_1_CA_1.l27 + Household_2_CA_1.l27 + Foods_1_CA_1.l27 + Foods_2_CA_1.l27 + Foods_3_CA_1.l27 + Hobbies_CA_1.l28 + Household_1_CA_1.l28 + Household_2_CA_1.l28 + Foods_1_CA_1.l28 + Foods_2_CA_1.l28 + Foods_3_CA_1.l28 + const 
## 
##                        Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_1.l1       0.0292781  0.0230805   1.269  0.20478    
## Household_1_CA_1.l1  -0.0519948  0.0530933  -0.979  0.32756    
## Household_2_CA_1.l1   0.1363240  0.0905286   1.506  0.13228    
## Foods_1_CA_1.l1       0.1233838  0.0598539   2.061  0.03941 *  
## Foods_2_CA_1.l1       0.4247310  0.0351363  12.088  < 2e-16 ***
## Foods_3_CA_1.l1      -0.0173268  0.0116440  -1.488  0.13692    
## Hobbies_CA_1.l2      -0.0050634  0.0233668  -0.217  0.82847    
## Household_1_CA_1.l2   0.0290318  0.0539335   0.538  0.59044    
## Household_2_CA_1.l2  -0.1699929  0.0913469  -1.861  0.06292 .  
## Foods_1_CA_1.l2       0.0124341  0.0627734   0.198  0.84301    
## Foods_2_CA_1.l2       0.1487869  0.0375306   3.964 7.65e-05 ***
## Foods_3_CA_1.l2      -0.0277169  0.0122940  -2.254  0.02429 *  
## Hobbies_CA_1.l3      -0.0192658  0.0234454  -0.822  0.41134    
## Household_1_CA_1.l3   0.0459128  0.0540158   0.850  0.39545    
## Household_2_CA_1.l3   0.2489132  0.0916901   2.715  0.00670 ** 
## Foods_1_CA_1.l3       0.0123675  0.0631036   0.196  0.84464    
## Foods_2_CA_1.l3       0.0743702  0.0378198   1.966  0.04940 *  
## Foods_3_CA_1.l3      -0.0143944  0.0124238  -1.159  0.24677    
## Hobbies_CA_1.l4      -0.0138424  0.0234357  -0.591  0.55483    
## Household_1_CA_1.l4  -0.0330789  0.0539460  -0.613  0.53983    
## Household_2_CA_1.l4  -0.0815395  0.0915518  -0.891  0.37324    
## Foods_1_CA_1.l4       0.0039498  0.0633286   0.062  0.95028    
## Foods_2_CA_1.l4       0.0455340  0.0378285   1.204  0.22887    
## Foods_3_CA_1.l4       0.0165554  0.0124114   1.334  0.18241    
## Hobbies_CA_1.l5      -0.0286025  0.0233824  -1.223  0.22140    
## Household_1_CA_1.l5  -0.0390445  0.0539426  -0.724  0.46927    
## Household_2_CA_1.l5  -0.0710720  0.0919771  -0.773  0.43979    
## Foods_1_CA_1.l5       0.0271105  0.0634840   0.427  0.66940    
## Foods_2_CA_1.l5       0.0968294  0.0379545   2.551  0.01082 *  
## Foods_3_CA_1.l5      -0.0136590  0.0124250  -1.099  0.27178    
## Hobbies_CA_1.l6      -0.0047236  0.0233868  -0.202  0.83996    
## Household_1_CA_1.l6   0.0373959  0.0540025   0.692  0.48872    
## Household_2_CA_1.l6   0.1538069  0.0920443   1.671  0.09490 .  
## Foods_1_CA_1.l6      -0.0255345  0.0634348  -0.403  0.68734    
## Foods_2_CA_1.l6       0.0404879  0.0380580   1.064  0.28754    
## Foods_3_CA_1.l6      -0.0149796  0.0124794  -1.200  0.23017    
## Hobbies_CA_1.l7      -0.0082236  0.0234154  -0.351  0.72548    
## Household_1_CA_1.l7   0.0838954  0.0542590   1.546  0.12223    
## Household_2_CA_1.l7  -0.0065568  0.0925105  -0.071  0.94350    
## Foods_1_CA_1.l7      -0.1417501  0.0633713  -2.237  0.02542 *  
## Foods_2_CA_1.l7       0.1098689  0.0380516   2.887  0.00393 ** 
## Foods_3_CA_1.l7       0.0305465  0.0125262   2.439  0.01484 *  
## Hobbies_CA_1.l8       0.0013157  0.0234204   0.056  0.95521    
## Household_1_CA_1.l8  -0.0599844  0.0539308  -1.112  0.26618    
## Household_2_CA_1.l8  -0.0097919  0.0929318  -0.105  0.91610    
## Foods_1_CA_1.l8       0.0211200  0.0633950   0.333  0.73906    
## Foods_2_CA_1.l8      -0.0346112  0.0381812  -0.906  0.36480    
## Foods_3_CA_1.l8       0.0109357  0.0126144   0.867  0.38610    
## Hobbies_CA_1.l9       0.0266138  0.0234651   1.134  0.25687    
## Household_1_CA_1.l9   0.0139838  0.0539345   0.259  0.79545    
## Household_2_CA_1.l9  -0.0354091  0.0927571  -0.382  0.70270    
## Foods_1_CA_1.l9      -0.0495291  0.0634020  -0.781  0.43479    
## Foods_2_CA_1.l9       0.0346534  0.0381485   0.908  0.36380    
## Foods_3_CA_1.l9      -0.0234004  0.0125756  -1.861  0.06294 .  
## Hobbies_CA_1.l10      0.0244116  0.0233990   1.043  0.29696    
## Household_1_CA_1.l10  0.0406265  0.0538624   0.754  0.45079    
## Household_2_CA_1.l10 -0.0057230  0.0927017  -0.062  0.95078    
## Foods_1_CA_1.l10     -0.0105722  0.0634785  -0.167  0.86775    
## Foods_2_CA_1.l10     -0.0361911  0.0381906  -0.948  0.34344    
## Foods_3_CA_1.l10     -0.0014507  0.0126252  -0.115  0.90853    
## Hobbies_CA_1.l11     -0.0034830  0.0233964  -0.149  0.88167    
## Household_1_CA_1.l11 -0.0960372  0.0537150  -1.788  0.07396 .  
## Household_2_CA_1.l11  0.0921956  0.0927760   0.994  0.32048    
## Foods_1_CA_1.l11      0.0309555  0.0635694   0.487  0.62635    
## Foods_2_CA_1.l11     -0.0013537  0.0382270  -0.035  0.97176    
## Foods_3_CA_1.l11      0.0044013  0.0126244   0.349  0.72741    
## Hobbies_CA_1.l12      0.0029043  0.0234063   0.124  0.90127    
## Household_1_CA_1.l12 -0.0346930  0.0538200  -0.645  0.51926    
## Household_2_CA_1.l12  0.0318572  0.0926278   0.344  0.73094    
## Foods_1_CA_1.l12     -0.0212322  0.0635999  -0.334  0.73854    
## Foods_2_CA_1.l12     -0.0769723  0.0382584  -2.012  0.04438 *  
## Foods_3_CA_1.l12      0.0060154  0.0126182   0.477  0.63362    
## Hobbies_CA_1.l13     -0.0464710  0.0233586  -1.989  0.04680 *  
## Household_1_CA_1.l13 -0.0163804  0.0537642  -0.305  0.76065    
## Household_2_CA_1.l13  0.0298580  0.0923549   0.323  0.74651    
## Foods_1_CA_1.l13     -0.0039143  0.0637260  -0.061  0.95103    
## Foods_2_CA_1.l13     -0.0054547  0.0383255  -0.142  0.88684    
## Foods_3_CA_1.l13      0.0204648  0.0126378   1.619  0.10555    
## Hobbies_CA_1.l14      0.0378871  0.0233244   1.624  0.10448    
## Household_1_CA_1.l14  0.0622208  0.0539130   1.154  0.24862    
## Household_2_CA_1.l14 -0.0346944  0.0922739  -0.376  0.70697    
## Foods_1_CA_1.l14      0.0288422  0.0637895   0.452  0.65122    
## Foods_2_CA_1.l14      0.1196707  0.0383877   3.117  0.00185 ** 
## Foods_3_CA_1.l14     -0.0128379  0.0125889  -1.020  0.30797    
## Hobbies_CA_1.l15     -0.0351541  0.0233520  -1.505  0.13240    
## Household_1_CA_1.l15 -0.0576112  0.0542419  -1.062  0.28833    
## Household_2_CA_1.l15 -0.0542222  0.0919645  -0.590  0.55553    
## Foods_1_CA_1.l15      0.0727877  0.0637933   1.141  0.25403    
## Foods_2_CA_1.l15      0.0064312  0.0382791   0.168  0.86659    
## Foods_3_CA_1.l15     -0.0105547  0.0125445  -0.841  0.40025    
## Hobbies_CA_1.l16     -0.0161796  0.0233862  -0.692  0.48913    
## Household_1_CA_1.l16  0.0121262  0.0543193   0.223  0.82338    
## Household_2_CA_1.l16 -0.0348335  0.0917836  -0.380  0.70435    
## Foods_1_CA_1.l16     -0.0984840  0.0637999  -1.544  0.12285    
## Foods_2_CA_1.l16     -0.0343382  0.0383006  -0.897  0.37008    
## Foods_3_CA_1.l16      0.0164656  0.0125308   1.314  0.18901    
## Hobbies_CA_1.l17     -0.0106522  0.0233495  -0.456  0.64830    
## Household_1_CA_1.l17  0.0756088  0.0543499   1.391  0.16435    
## Household_2_CA_1.l17  0.0390109  0.0917721   0.425  0.67083    
## Foods_1_CA_1.l17     -0.0104505  0.0638531  -0.164  0.87001    
## Foods_2_CA_1.l17      0.0186211  0.0383136   0.486  0.62701    
## Foods_3_CA_1.l17     -0.0121035  0.0125330  -0.966  0.33431    
## Hobbies_CA_1.l18      0.0367975  0.0233232   1.578  0.11481    
## Household_1_CA_1.l18 -0.0147543  0.0544865  -0.271  0.78659    
## Household_2_CA_1.l18  0.0543950  0.0916669   0.593  0.55299    
## Foods_1_CA_1.l18     -0.0007943  0.0638713  -0.012  0.99008    
## Foods_2_CA_1.l18      0.0050276  0.0383183   0.131  0.89563    
## Foods_3_CA_1.l18     -0.0108620  0.0125288  -0.867  0.38608    
## Hobbies_CA_1.l19      0.0284247  0.0233509   1.217  0.22366    
## Household_1_CA_1.l19  0.1195978  0.0544756   2.195  0.02826 *  
## Household_2_CA_1.l19  0.0295388  0.0918283   0.322  0.74774    
## Foods_1_CA_1.l19     -0.1264572  0.0637938  -1.982  0.04760 *  
## Foods_2_CA_1.l19     -0.0109755  0.0383460  -0.286  0.77474    
## Foods_3_CA_1.l19      0.0028396  0.0125579   0.226  0.82114    
## Hobbies_CA_1.l20      0.0179391  0.0233719   0.768  0.44286    
## Household_1_CA_1.l20  0.0152476  0.0545460   0.280  0.77987    
## Household_2_CA_1.l20 -0.2296813  0.0917915  -2.502  0.01243 *  
## Foods_1_CA_1.l20      0.0077522  0.0636415   0.122  0.90306    
## Foods_2_CA_1.l20     -0.0354839  0.0383740  -0.925  0.35526    
## Foods_3_CA_1.l20      0.0183647  0.0125602   1.462  0.14388    
## Hobbies_CA_1.l21     -0.0267452  0.0233256  -1.147  0.25170    
## Household_1_CA_1.l21  0.0108444  0.0545270   0.199  0.84238    
## Household_2_CA_1.l21 -0.0874208  0.0919862  -0.950  0.34205    
## Foods_1_CA_1.l21     -0.0474353  0.0636669  -0.745  0.45634    
## Foods_2_CA_1.l21      0.0284529  0.0383898   0.741  0.45870    
## Foods_3_CA_1.l21      0.0310234  0.0125406   2.474  0.01346 *  
## Hobbies_CA_1.l22     -0.0354296  0.0232584  -1.523  0.12786    
## Household_1_CA_1.l22 -0.1510833  0.0549645  -2.749  0.00604 ** 
## Household_2_CA_1.l22  0.1998443  0.0915333   2.183  0.02914 *  
## Foods_1_CA_1.l22      0.0797834  0.0637006   1.252  0.21056    
## Foods_2_CA_1.l22      0.0719555  0.0382773   1.880  0.06029 .  
## Foods_3_CA_1.l22     -0.0188012  0.0124719  -1.507  0.13186    
## Hobbies_CA_1.l23      0.0070948  0.0232362   0.305  0.76015    
## Household_1_CA_1.l23  0.0017872  0.0548875   0.033  0.97403    
## Household_2_CA_1.l23 -0.1323095  0.0911178  -1.452  0.14666    
## Foods_1_CA_1.l23      0.0220318  0.0638047   0.345  0.72991    
## Foods_2_CA_1.l23     -0.0605698  0.0382043  -1.585  0.11305    
## Foods_3_CA_1.l23      0.0125311  0.0124349   1.008  0.31372    
## Hobbies_CA_1.l24     -0.0453157  0.0232405  -1.950  0.05135 .  
## Household_1_CA_1.l24 -0.0660447  0.0545328  -1.211  0.22602    
## Household_2_CA_1.l24  0.0037585  0.0910273   0.041  0.96707    
## Foods_1_CA_1.l24      0.0268709  0.0639578   0.420  0.67444    
## Foods_2_CA_1.l24     -0.0032300  0.0381490  -0.085  0.93254    
## Foods_3_CA_1.l24      0.0035344  0.0124459   0.284  0.77646    
## Hobbies_CA_1.l25      0.0310487  0.0232634   1.335  0.18216    
## Household_1_CA_1.l25 -0.0340479  0.0545047  -0.625  0.53226    
## Household_2_CA_1.l25  0.0296984  0.0907425   0.327  0.74349    
## Foods_1_CA_1.l25      0.0031375  0.0638994   0.049  0.96084    
## Foods_2_CA_1.l25     -0.0015809  0.0380966  -0.041  0.96690    
## Foods_3_CA_1.l25     -0.0120570  0.0124609  -0.968  0.33338    
## Hobbies_CA_1.l26     -0.0191073  0.0232615  -0.821  0.41152    
## Household_1_CA_1.l26  0.0480229  0.0546038   0.879  0.37926    
## Household_2_CA_1.l26 -0.1133873  0.0906059  -1.251  0.21094    
## Foods_1_CA_1.l26      0.0539727  0.0634436   0.851  0.39504    
## Foods_2_CA_1.l26     -0.0180117  0.0380935  -0.473  0.63639    
## Foods_3_CA_1.l26      0.0044304  0.0124593   0.356  0.72219    
## Hobbies_CA_1.l27      0.0381378  0.0231115   1.650  0.09909 .  
## Household_1_CA_1.l27 -0.0359887  0.0543856  -0.662  0.50823    
## Household_2_CA_1.l27  0.0847774  0.0903468   0.938  0.34819    
## Foods_1_CA_1.l27      0.0200599  0.0630394   0.318  0.75036    
## Foods_2_CA_1.l27     -0.0536532  0.0377576  -1.421  0.15550    
## Foods_3_CA_1.l27      0.0129499  0.0123608   1.048  0.29494    
## Hobbies_CA_1.l28     -0.0113188  0.0227026  -0.499  0.61815    
## Household_1_CA_1.l28  0.0675316  0.0527582   1.280  0.20070    
## Household_2_CA_1.l28  0.1586040  0.0893166   1.776  0.07595 .  
## Foods_1_CA_1.l28      0.0091734  0.0601206   0.153  0.87874    
## Foods_2_CA_1.l28      0.0531252  0.0355164   1.496  0.13489    
## Foods_3_CA_1.l28      0.0030563  0.0116585   0.262  0.79323    
## const                16.4098162 19.0937137   0.859  0.39022    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 54.69 on 1772 degrees of freedom
## Multiple R-Squared: 0.7356,  Adjusted R-squared: 0.7105 
## F-statistic: 29.34 on 168 and 1772 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Foods_3_CA_1: 
## ============================================= 
## Foods_3_CA_1 = Hobbies_CA_1.l1 + Household_1_CA_1.l1 + Household_2_CA_1.l1 + Foods_1_CA_1.l1 + Foods_2_CA_1.l1 + Foods_3_CA_1.l1 + Hobbies_CA_1.l2 + Household_1_CA_1.l2 + Household_2_CA_1.l2 + Foods_1_CA_1.l2 + Foods_2_CA_1.l2 + Foods_3_CA_1.l2 + Hobbies_CA_1.l3 + Household_1_CA_1.l3 + Household_2_CA_1.l3 + Foods_1_CA_1.l3 + Foods_2_CA_1.l3 + Foods_3_CA_1.l3 + Hobbies_CA_1.l4 + Household_1_CA_1.l4 + Household_2_CA_1.l4 + Foods_1_CA_1.l4 + Foods_2_CA_1.l4 + Foods_3_CA_1.l4 + Hobbies_CA_1.l5 + Household_1_CA_1.l5 + Household_2_CA_1.l5 + Foods_1_CA_1.l5 + Foods_2_CA_1.l5 + Foods_3_CA_1.l5 + Hobbies_CA_1.l6 + Household_1_CA_1.l6 + Household_2_CA_1.l6 + Foods_1_CA_1.l6 + Foods_2_CA_1.l6 + Foods_3_CA_1.l6 + Hobbies_CA_1.l7 + Household_1_CA_1.l7 + Household_2_CA_1.l7 + Foods_1_CA_1.l7 + Foods_2_CA_1.l7 + Foods_3_CA_1.l7 + Hobbies_CA_1.l8 + Household_1_CA_1.l8 + Household_2_CA_1.l8 + Foods_1_CA_1.l8 + Foods_2_CA_1.l8 + Foods_3_CA_1.l8 + Hobbies_CA_1.l9 + Household_1_CA_1.l9 + Household_2_CA_1.l9 + Foods_1_CA_1.l9 + Foods_2_CA_1.l9 + Foods_3_CA_1.l9 + Hobbies_CA_1.l10 + Household_1_CA_1.l10 + Household_2_CA_1.l10 + Foods_1_CA_1.l10 + Foods_2_CA_1.l10 + Foods_3_CA_1.l10 + Hobbies_CA_1.l11 + Household_1_CA_1.l11 + Household_2_CA_1.l11 + Foods_1_CA_1.l11 + Foods_2_CA_1.l11 + Foods_3_CA_1.l11 + Hobbies_CA_1.l12 + Household_1_CA_1.l12 + Household_2_CA_1.l12 + Foods_1_CA_1.l12 + Foods_2_CA_1.l12 + Foods_3_CA_1.l12 + Hobbies_CA_1.l13 + Household_1_CA_1.l13 + Household_2_CA_1.l13 + Foods_1_CA_1.l13 + Foods_2_CA_1.l13 + Foods_3_CA_1.l13 + Hobbies_CA_1.l14 + Household_1_CA_1.l14 + Household_2_CA_1.l14 + Foods_1_CA_1.l14 + Foods_2_CA_1.l14 + Foods_3_CA_1.l14 + Hobbies_CA_1.l15 + Household_1_CA_1.l15 + Household_2_CA_1.l15 + Foods_1_CA_1.l15 + Foods_2_CA_1.l15 + Foods_3_CA_1.l15 + Hobbies_CA_1.l16 + Household_1_CA_1.l16 + Household_2_CA_1.l16 + Foods_1_CA_1.l16 + Foods_2_CA_1.l16 + Foods_3_CA_1.l16 + Hobbies_CA_1.l17 + Household_1_CA_1.l17 + Household_2_CA_1.l17 + Foods_1_CA_1.l17 + Foods_2_CA_1.l17 + Foods_3_CA_1.l17 + Hobbies_CA_1.l18 + Household_1_CA_1.l18 + Household_2_CA_1.l18 + Foods_1_CA_1.l18 + Foods_2_CA_1.l18 + Foods_3_CA_1.l18 + Hobbies_CA_1.l19 + Household_1_CA_1.l19 + Household_2_CA_1.l19 + Foods_1_CA_1.l19 + Foods_2_CA_1.l19 + Foods_3_CA_1.l19 + Hobbies_CA_1.l20 + Household_1_CA_1.l20 + Household_2_CA_1.l20 + Foods_1_CA_1.l20 + Foods_2_CA_1.l20 + Foods_3_CA_1.l20 + Hobbies_CA_1.l21 + Household_1_CA_1.l21 + Household_2_CA_1.l21 + Foods_1_CA_1.l21 + Foods_2_CA_1.l21 + Foods_3_CA_1.l21 + Hobbies_CA_1.l22 + Household_1_CA_1.l22 + Household_2_CA_1.l22 + Foods_1_CA_1.l22 + Foods_2_CA_1.l22 + Foods_3_CA_1.l22 + Hobbies_CA_1.l23 + Household_1_CA_1.l23 + Household_2_CA_1.l23 + Foods_1_CA_1.l23 + Foods_2_CA_1.l23 + Foods_3_CA_1.l23 + Hobbies_CA_1.l24 + Household_1_CA_1.l24 + Household_2_CA_1.l24 + Foods_1_CA_1.l24 + Foods_2_CA_1.l24 + Foods_3_CA_1.l24 + Hobbies_CA_1.l25 + Household_1_CA_1.l25 + Household_2_CA_1.l25 + Foods_1_CA_1.l25 + Foods_2_CA_1.l25 + Foods_3_CA_1.l25 + Hobbies_CA_1.l26 + Household_1_CA_1.l26 + Household_2_CA_1.l26 + Foods_1_CA_1.l26 + Foods_2_CA_1.l26 + Foods_3_CA_1.l26 + Hobbies_CA_1.l27 + Household_1_CA_1.l27 + Household_2_CA_1.l27 + Foods_1_CA_1.l27 + Foods_2_CA_1.l27 + Foods_3_CA_1.l27 + Hobbies_CA_1.l28 + Household_1_CA_1.l28 + Household_2_CA_1.l28 + Foods_1_CA_1.l28 + Foods_2_CA_1.l28 + Foods_3_CA_1.l28 + const 
## 
##                        Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_1.l1        0.080122   0.081564   0.982 0.326074    
## Household_1_CA_1.l1   -0.033016   0.187626  -0.176 0.860340    
## Household_2_CA_1.l1    0.875074   0.319919   2.735 0.006294 ** 
## Foods_1_CA_1.l1        0.476870   0.211518   2.255 0.024285 *  
## Foods_2_CA_1.l1        0.218090   0.124168   1.756 0.079191 .  
## Foods_3_CA_1.l1        0.260146   0.041149   6.322 3.26e-10 ***
## Hobbies_CA_1.l2       -0.051991   0.082576  -0.630 0.529032    
## Household_1_CA_1.l2    0.153289   0.190595   0.804 0.421354    
## Household_2_CA_1.l2   -0.843700   0.322811  -2.614 0.009035 ** 
## Foods_1_CA_1.l2       -0.055950   0.221835  -0.252 0.800904    
## Foods_2_CA_1.l2        0.051985   0.132629   0.392 0.695140    
## Foods_3_CA_1.l2        0.026334   0.043446   0.606 0.544510    
## Hobbies_CA_1.l3       -0.095248   0.082854  -1.150 0.250469    
## Household_1_CA_1.l3    0.029680   0.190886   0.155 0.876454    
## Household_2_CA_1.l3    0.798912   0.324023   2.466 0.013773 *  
## Foods_1_CA_1.l3        0.097274   0.223002   0.436 0.662744    
## Foods_2_CA_1.l3        0.112844   0.133651   0.844 0.398606    
## Foods_3_CA_1.l3       -0.004769   0.043904  -0.109 0.913522    
## Hobbies_CA_1.l4        0.007998   0.082819   0.097 0.923077    
## Household_1_CA_1.l4   -0.331237   0.190640  -1.738 0.082472 .  
## Household_2_CA_1.l4   -0.496773   0.323535  -1.535 0.124851    
## Foods_1_CA_1.l4       -0.111401   0.223797  -0.498 0.618704    
## Foods_2_CA_1.l4       -0.147318   0.133682  -1.102 0.270610    
## Foods_3_CA_1.l4        0.131696   0.043861   3.003 0.002714 ** 
## Hobbies_CA_1.l5        0.026697   0.082631   0.323 0.746666    
## Household_1_CA_1.l5    0.038726   0.190628   0.203 0.839040    
## Household_2_CA_1.l5   -0.310535   0.325038  -0.955 0.339516    
## Foods_1_CA_1.l5        0.179514   0.224346   0.800 0.423723    
## Foods_2_CA_1.l5        0.336178   0.134127   2.506 0.012286 *  
## Foods_3_CA_1.l5       -0.088920   0.043909  -2.025 0.043005 *  
## Hobbies_CA_1.l6       -0.147346   0.082647  -1.783 0.074782 .  
## Household_1_CA_1.l6   -0.121294   0.190839  -0.636 0.525131    
## Household_2_CA_1.l6    0.417240   0.325275   1.283 0.199755    
## Foods_1_CA_1.l6        0.069805   0.224172   0.311 0.755541    
## Foods_2_CA_1.l6       -0.157981   0.134493  -1.175 0.240296    
## Foods_3_CA_1.l6        0.064082   0.044101   1.453 0.146380    
## Hobbies_CA_1.l7       -0.036041   0.082747  -0.436 0.663217    
## Household_1_CA_1.l7    0.406517   0.191746   2.120 0.034138 *  
## Household_2_CA_1.l7    0.127913   0.326923   0.391 0.695649    
## Foods_1_CA_1.l7       -0.562763   0.223948  -2.513 0.012062 *  
## Foods_2_CA_1.l7        0.047659   0.134470   0.354 0.723068    
## Foods_3_CA_1.l7        0.205923   0.044266   4.652 3.53e-06 ***
## Hobbies_CA_1.l8        0.092342   0.082765   1.116 0.264696    
## Household_1_CA_1.l8   -0.149961   0.190586  -0.787 0.431480    
## Household_2_CA_1.l8   -0.227158   0.328412  -0.692 0.489225    
## Foods_1_CA_1.l8        0.052013   0.224031   0.232 0.816433    
## Foods_2_CA_1.l8       -0.042666   0.134928  -0.316 0.751880    
## Foods_3_CA_1.l8        0.023195   0.044578   0.520 0.602906    
## Hobbies_CA_1.l9        0.114990   0.082923   1.387 0.165706    
## Household_1_CA_1.l9    0.033450   0.190599   0.175 0.860709    
## Household_2_CA_1.l9   -0.019179   0.327794  -0.059 0.953350    
## Foods_1_CA_1.l9       -0.340798   0.224056  -1.521 0.128429    
## Foods_2_CA_1.l9        0.222365   0.134813   1.649 0.099236 .  
## Foods_3_CA_1.l9       -0.120792   0.044441  -2.718 0.006631 ** 
## Hobbies_CA_1.l10       0.125474   0.082690   1.517 0.129341    
## Household_1_CA_1.l10   0.108154   0.190344   0.568 0.569971    
## Household_2_CA_1.l10   0.174790   0.327598   0.534 0.593719    
## Foods_1_CA_1.l10      -0.195027   0.224327  -0.869 0.384752    
## Foods_2_CA_1.l10      -0.231431   0.134962  -1.715 0.086558 .  
## Foods_3_CA_1.l10       0.027868   0.044616   0.625 0.532306    
## Hobbies_CA_1.l11      -0.029762   0.082681  -0.360 0.718919    
## Household_1_CA_1.l11  -0.236987   0.189823  -1.248 0.212027    
## Household_2_CA_1.l11   0.052034   0.327861   0.159 0.873916    
## Foods_1_CA_1.l11       0.152804   0.224648   0.680 0.496470    
## Foods_2_CA_1.l11       0.077574   0.135090   0.574 0.565879    
## Foods_3_CA_1.l11      -0.045745   0.044613  -1.025 0.305334    
## Hobbies_CA_1.l12      -0.060164   0.082715  -0.727 0.467104    
## Household_1_CA_1.l12  -0.281218   0.190194  -1.479 0.139430    
## Household_2_CA_1.l12  -0.053019   0.327337  -0.162 0.871346    
## Foods_1_CA_1.l12       0.067744   0.224756   0.301 0.763135    
## Foods_2_CA_1.l12      -0.125088   0.135201  -0.925 0.354988    
## Foods_3_CA_1.l12       0.066936   0.044591   1.501 0.133510    
## Hobbies_CA_1.l13      -0.106308   0.082547  -1.288 0.197967    
## Household_1_CA_1.l13   0.200777   0.189997   1.057 0.290777    
## Household_2_CA_1.l13  -0.046668   0.326373  -0.143 0.886314    
## Foods_1_CA_1.l13      -0.022830   0.225201  -0.101 0.919263    
## Foods_2_CA_1.l13      -0.275601   0.135438  -2.035 0.042011 *  
## Foods_3_CA_1.l13       0.101557   0.044661   2.274 0.023086 *  
## Hobbies_CA_1.l14       0.016194   0.082426   0.196 0.844268    
## Household_1_CA_1.l14   0.687727   0.190523   3.610 0.000315 ***
## Household_2_CA_1.l14  -0.057244   0.326086  -0.176 0.860668    
## Foods_1_CA_1.l14      -0.231382   0.225425  -1.026 0.304832    
## Foods_2_CA_1.l14       0.219743   0.135658   1.620 0.105447    
## Foods_3_CA_1.l14       0.076453   0.044488   1.719 0.085880 .  
## Hobbies_CA_1.l15       0.019558   0.082524   0.237 0.812684    
## Household_1_CA_1.l15  -0.408570   0.191685  -2.131 0.033188 *  
## Household_2_CA_1.l15  -0.226717   0.324993  -0.698 0.485515    
## Foods_1_CA_1.l15      -0.104847   0.225439  -0.465 0.641933    
## Foods_2_CA_1.l15      -0.128366   0.135274  -0.949 0.342787    
## Foods_3_CA_1.l15      -0.023357   0.044331  -0.527 0.598346    
## Hobbies_CA_1.l16      -0.038530   0.082645  -0.466 0.641121    
## Household_1_CA_1.l16  -0.116794   0.191959  -0.608 0.542980    
## Household_2_CA_1.l16   0.230654   0.324354   0.711 0.477105    
## Foods_1_CA_1.l16      -0.346580   0.225462  -1.537 0.124424    
## Foods_2_CA_1.l16      -0.032458   0.135351  -0.240 0.810509    
## Foods_3_CA_1.l16       0.026867   0.044282   0.607 0.544121    
## Hobbies_CA_1.l17      -0.082401   0.082515  -0.999 0.318115    
## Household_1_CA_1.l17   0.447294   0.192067   2.329 0.019979 *  
## Household_2_CA_1.l17   0.181222   0.324313   0.559 0.576378    
## Foods_1_CA_1.l17       0.045329   0.225650   0.201 0.840815    
## Foods_2_CA_1.l17       0.263359   0.135396   1.945 0.051921 .  
## Foods_3_CA_1.l17      -0.093109   0.044290  -2.102 0.035674 *  
## Hobbies_CA_1.l18       0.134758   0.082422   1.635 0.102231    
## Household_1_CA_1.l18  -0.096409   0.192550  -0.501 0.616646    
## Household_2_CA_1.l18   0.506759   0.323942   1.564 0.117913    
## Foods_1_CA_1.l18       0.040011   0.225715   0.177 0.859320    
## Foods_2_CA_1.l18      -0.076202   0.135413  -0.563 0.573686    
## Foods_3_CA_1.l18      -0.020296   0.044275  -0.458 0.646712    
## Hobbies_CA_1.l19       0.076360   0.082520   0.925 0.354911    
## Household_1_CA_1.l19   0.329794   0.192511   1.713 0.086866 .  
## Household_2_CA_1.l19   0.258581   0.324512   0.797 0.425656    
## Foods_1_CA_1.l19      -0.181737   0.225441  -0.806 0.420270    
## Foods_2_CA_1.l19       0.056346   0.135511   0.416 0.677606    
## Foods_3_CA_1.l19      -0.042181   0.044378  -0.950 0.341997    
## Hobbies_CA_1.l20       0.103851   0.082594   1.257 0.208785    
## Household_1_CA_1.l20  -0.036576   0.192760  -0.190 0.849529    
## Household_2_CA_1.l20  -0.727439   0.324382  -2.243 0.025050 *  
## Foods_1_CA_1.l20      -0.360684   0.224903  -1.604 0.108951    
## Foods_2_CA_1.l20      -0.260137   0.135610  -1.918 0.055237 .  
## Foods_3_CA_1.l20       0.092545   0.044386   2.085 0.037213 *  
## Hobbies_CA_1.l21      -0.125085   0.082430  -1.517 0.129326    
## Household_1_CA_1.l21   0.146041   0.192693   0.758 0.448613    
## Household_2_CA_1.l21   0.314142   0.325070   0.966 0.333984    
## Foods_1_CA_1.l21      -0.147111   0.224992  -0.654 0.513294    
## Foods_2_CA_1.l21       0.020312   0.135666   0.150 0.881001    
## Foods_3_CA_1.l21       0.111576   0.044317   2.518 0.011901 *  
## Hobbies_CA_1.l22      -0.011601   0.082193  -0.141 0.887774    
## Household_1_CA_1.l22  -0.439798   0.194239  -2.264 0.023682 *  
## Household_2_CA_1.l22   0.518319   0.323469   1.602 0.109251    
## Foods_1_CA_1.l22       0.083505   0.225111   0.371 0.710720    
## Foods_2_CA_1.l22       0.205363   0.135268   1.518 0.129144    
## Foods_3_CA_1.l22      -0.070302   0.044074  -1.595 0.110874    
## Hobbies_CA_1.l23      -0.016841   0.082114  -0.205 0.837520    
## Household_1_CA_1.l23  -0.192880   0.193967  -0.994 0.320164    
## Household_2_CA_1.l23  -0.554585   0.322001  -1.722 0.085188 .  
## Foods_1_CA_1.l23       0.206971   0.225479   0.918 0.358789    
## Foods_2_CA_1.l23      -0.231003   0.135010  -1.711 0.087255 .  
## Foods_3_CA_1.l23       0.082435   0.043944   1.876 0.060830 .  
## Hobbies_CA_1.l24      -0.201718   0.082130  -2.456 0.014141 *  
## Household_1_CA_1.l24  -0.215766   0.192713  -1.120 0.263026    
## Household_2_CA_1.l24  -0.425247   0.321681  -1.322 0.186355    
## Foods_1_CA_1.l24      -0.026263   0.226020  -0.116 0.907509    
## Foods_2_CA_1.l24      -0.121666   0.134815  -0.902 0.366930    
## Foods_3_CA_1.l24       0.054188   0.043983   1.232 0.218105    
## Hobbies_CA_1.l25       0.160142   0.082210   1.948 0.051578 .  
## Household_1_CA_1.l25   0.061396   0.192614   0.319 0.749954    
## Household_2_CA_1.l25   0.102109   0.320675   0.318 0.750204    
## Foods_1_CA_1.l25      -0.050323   0.225814  -0.223 0.823676    
## Foods_2_CA_1.l25      -0.123288   0.134629  -0.916 0.359917    
## Foods_3_CA_1.l25      -0.028982   0.044036  -0.658 0.510532    
## Hobbies_CA_1.l26      -0.096416   0.082204  -1.173 0.240999    
## Household_1_CA_1.l26  -0.097011   0.192964  -0.503 0.615209    
## Household_2_CA_1.l26  -0.119486   0.320192  -0.373 0.709068    
## Foods_1_CA_1.l26       0.321666   0.224203   1.435 0.151548    
## Foods_2_CA_1.l26       0.081740   0.134619   0.607 0.543797    
## Foods_3_CA_1.l26       0.006676   0.044030   0.152 0.879494    
## Hobbies_CA_1.l27       0.134175   0.081674   1.643 0.100598    
## Household_1_CA_1.l27  -0.116441   0.192193  -0.606 0.544689    
## Household_2_CA_1.l27   0.266601   0.319277   0.835 0.403822    
## Foods_1_CA_1.l27       0.284591   0.222775   1.277 0.201600    
## Foods_2_CA_1.l27      -0.062448   0.133431  -0.468 0.639830    
## Foods_3_CA_1.l27       0.010225   0.043682   0.234 0.814950    
## Hobbies_CA_1.l28      -0.116930   0.080229  -1.457 0.145166    
## Household_1_CA_1.l28   0.190593   0.186442   1.022 0.306794    
## Household_2_CA_1.l28   0.213019   0.315636   0.675 0.499836    
## Foods_1_CA_1.l28       0.369319   0.212460   1.738 0.082332 .  
## Foods_2_CA_1.l28       0.161004   0.125511   1.283 0.199736    
## Foods_3_CA_1.l28       0.093098   0.041200   2.260 0.023962 *  
## const                100.854058  67.475236   1.495 0.135175    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 193.3 on 1772 degrees of freedom
## Multiple R-Squared: 0.8255,  Adjusted R-squared: 0.809 
## F-statistic:  49.9 on 168 and 1772 DF,  p-value: < 2.2e-16 
## 
## 
## 
## Covariance matrix of residuals:
##                  Hobbies_CA_1 Household_1_CA_1 Household_2_CA_1 Foods_1_CA_1
## Hobbies_CA_1           3663.4            555.2            272.7        376.8
## Household_1_CA_1        555.2            879.6            195.2        282.0
## Household_2_CA_1        272.7            195.2            273.5        123.3
## Foods_1_CA_1            376.8            282.0            123.3        611.8
## Foods_2_CA_1            552.2            504.6            231.9        326.5
## Foods_3_CA_1           3579.7           2879.6           1383.5       2010.6
##                  Foods_2_CA_1 Foods_3_CA_1
## Hobbies_CA_1            552.2         3580
## Household_1_CA_1        504.6         2880
## Household_2_CA_1        231.9         1384
## Foods_1_CA_1            326.5         2011
## Foods_2_CA_1           2990.9         7722
## Foods_3_CA_1           7722.2        37352
## 
## Correlation matrix of residuals:
##                  Hobbies_CA_1 Household_1_CA_1 Household_2_CA_1 Foods_1_CA_1
## Hobbies_CA_1           1.0000           0.3093           0.2725       0.2517
## Household_1_CA_1       0.3093           1.0000           0.3981       0.3844
## Household_2_CA_1       0.2725           0.3981           1.0000       0.3015
## Foods_1_CA_1           0.2517           0.3844           0.3015       1.0000
## Foods_2_CA_1           0.1668           0.3111           0.2564       0.2414
## Foods_3_CA_1           0.3060           0.5024           0.4329       0.4206
##                  Foods_2_CA_1 Foods_3_CA_1
## Hobbies_CA_1           0.1668       0.3060
## Household_1_CA_1       0.3111       0.5024
## Household_2_CA_1       0.2564       0.4329
## Foods_1_CA_1           0.2414       0.4206
## Foods_2_CA_1           1.0000       0.7306
## Foods_3_CA_1           0.7306       1.0000

We then run some further model diagnostics, including the serial.test() command for autocorrelation of residuals, the arch.test() command for the presence of heteroscedasticity, the normality.test() command for the normality of the distribution of the residuals and the stability() command for the presence of structural breaks.

Model1 <- VAR(v1, p = 28, type = "const", season = NULL, exog = NULL) 
summary(Model1)
## 
## VAR Estimation Results:
## ========================= 
## Endogenous variables: Hobbies_CA_1, Household_1_CA_1, Household_2_CA_1, Foods_1_CA_1, Foods_2_CA_1, Foods_3_CA_1 
## Deterministic variables: const 
## Sample size: 1941 
## Log Likelihood: -58492.3 
## Roots of the characteristic polynomial:
## 0.9989 0.9989 0.9984 0.9936 0.992 0.992 0.9867 0.9867 0.9844 0.9805 0.9761 0.9761 0.9729 0.9729 0.9721 0.9721 0.9624 0.9624 0.952 0.952 0.9515 0.9515 0.9486 0.9486 0.9477 0.9477 0.9466 0.9466 0.9466 0.9466 0.9465 0.9465 0.9463 0.9463 0.943 0.943 0.943 0.943 0.9403 0.9403 0.9401 0.9401 0.9401 0.9399 0.9399 0.9395 0.9395 0.9377 0.9377 0.9371 0.9371 0.9368 0.9368 0.9365 0.9365 0.936 0.936 0.9359 0.9359 0.9359 0.9359 0.9352 0.9352 0.9342 0.9342 0.9325 0.9325 0.9325 0.9325 0.9324 0.9324 0.9318 0.9318 0.9307 0.9307 0.9306 0.9306 0.9298 0.9298 0.9288 0.9288 0.9275 0.9275 0.9272 0.9272 0.9259 0.9259 0.9255 0.9255 0.9249 0.9249 0.9247 0.9247 0.924 0.924 0.9236 0.9236 0.9225 0.9225 0.9223 0.9223 0.9217 0.9217 0.9195 0.9195 0.9184 0.9184 0.9175 0.9175 0.9174 0.9174 0.9158 0.9158 0.9146 0.9146 0.9143 0.9143 0.9127 0.9127 0.9125 0.9125 0.9113 0.9113 0.9107 0.9107 0.9099 0.9099 0.9094 0.9094 0.9092 0.9092 0.9088 0.9088 0.9025 0.9025 0.9005 0.9005 0.9005 0.9005 0.9005 0.9005 0.8996 0.8955 0.8955 0.8933 0.8933 0.8932 0.8932 0.8758 0.8758 0.8735 0.8735 0.8721 0.8721 0.8689 0.8689 0.8642 0.8642 0.7788 0.7788 0.7403 0.7403 0.7289 0.7089 0.7089 0.6228 0.6228 0.1806
## Call:
## VAR(y = v1, p = 28, type = "const", exogen = NULL)
## 
## 
## Estimation results for equation Hobbies_CA_1: 
## ============================================= 
## Hobbies_CA_1 = Hobbies_CA_1.l1 + Household_1_CA_1.l1 + Household_2_CA_1.l1 + Foods_1_CA_1.l1 + Foods_2_CA_1.l1 + Foods_3_CA_1.l1 + Hobbies_CA_1.l2 + Household_1_CA_1.l2 + Household_2_CA_1.l2 + Foods_1_CA_1.l2 + Foods_2_CA_1.l2 + Foods_3_CA_1.l2 + Hobbies_CA_1.l3 + Household_1_CA_1.l3 + Household_2_CA_1.l3 + Foods_1_CA_1.l3 + Foods_2_CA_1.l3 + Foods_3_CA_1.l3 + Hobbies_CA_1.l4 + Household_1_CA_1.l4 + Household_2_CA_1.l4 + Foods_1_CA_1.l4 + Foods_2_CA_1.l4 + Foods_3_CA_1.l4 + Hobbies_CA_1.l5 + Household_1_CA_1.l5 + Household_2_CA_1.l5 + Foods_1_CA_1.l5 + Foods_2_CA_1.l5 + Foods_3_CA_1.l5 + Hobbies_CA_1.l6 + Household_1_CA_1.l6 + Household_2_CA_1.l6 + Foods_1_CA_1.l6 + Foods_2_CA_1.l6 + Foods_3_CA_1.l6 + Hobbies_CA_1.l7 + Household_1_CA_1.l7 + Household_2_CA_1.l7 + Foods_1_CA_1.l7 + Foods_2_CA_1.l7 + Foods_3_CA_1.l7 + Hobbies_CA_1.l8 + Household_1_CA_1.l8 + Household_2_CA_1.l8 + Foods_1_CA_1.l8 + Foods_2_CA_1.l8 + Foods_3_CA_1.l8 + Hobbies_CA_1.l9 + Household_1_CA_1.l9 + Household_2_CA_1.l9 + Foods_1_CA_1.l9 + Foods_2_CA_1.l9 + Foods_3_CA_1.l9 + Hobbies_CA_1.l10 + Household_1_CA_1.l10 + Household_2_CA_1.l10 + Foods_1_CA_1.l10 + Foods_2_CA_1.l10 + Foods_3_CA_1.l10 + Hobbies_CA_1.l11 + Household_1_CA_1.l11 + Household_2_CA_1.l11 + Foods_1_CA_1.l11 + Foods_2_CA_1.l11 + Foods_3_CA_1.l11 + Hobbies_CA_1.l12 + Household_1_CA_1.l12 + Household_2_CA_1.l12 + Foods_1_CA_1.l12 + Foods_2_CA_1.l12 + Foods_3_CA_1.l12 + Hobbies_CA_1.l13 + Household_1_CA_1.l13 + Household_2_CA_1.l13 + Foods_1_CA_1.l13 + Foods_2_CA_1.l13 + Foods_3_CA_1.l13 + Hobbies_CA_1.l14 + Household_1_CA_1.l14 + Household_2_CA_1.l14 + Foods_1_CA_1.l14 + Foods_2_CA_1.l14 + Foods_3_CA_1.l14 + Hobbies_CA_1.l15 + Household_1_CA_1.l15 + Household_2_CA_1.l15 + Foods_1_CA_1.l15 + Foods_2_CA_1.l15 + Foods_3_CA_1.l15 + Hobbies_CA_1.l16 + Household_1_CA_1.l16 + Household_2_CA_1.l16 + Foods_1_CA_1.l16 + Foods_2_CA_1.l16 + Foods_3_CA_1.l16 + Hobbies_CA_1.l17 + Household_1_CA_1.l17 + Household_2_CA_1.l17 + Foods_1_CA_1.l17 + Foods_2_CA_1.l17 + Foods_3_CA_1.l17 + Hobbies_CA_1.l18 + Household_1_CA_1.l18 + Household_2_CA_1.l18 + Foods_1_CA_1.l18 + Foods_2_CA_1.l18 + Foods_3_CA_1.l18 + Hobbies_CA_1.l19 + Household_1_CA_1.l19 + Household_2_CA_1.l19 + Foods_1_CA_1.l19 + Foods_2_CA_1.l19 + Foods_3_CA_1.l19 + Hobbies_CA_1.l20 + Household_1_CA_1.l20 + Household_2_CA_1.l20 + Foods_1_CA_1.l20 + Foods_2_CA_1.l20 + Foods_3_CA_1.l20 + Hobbies_CA_1.l21 + Household_1_CA_1.l21 + Household_2_CA_1.l21 + Foods_1_CA_1.l21 + Foods_2_CA_1.l21 + Foods_3_CA_1.l21 + Hobbies_CA_1.l22 + Household_1_CA_1.l22 + Household_2_CA_1.l22 + Foods_1_CA_1.l22 + Foods_2_CA_1.l22 + Foods_3_CA_1.l22 + Hobbies_CA_1.l23 + Household_1_CA_1.l23 + Household_2_CA_1.l23 + Foods_1_CA_1.l23 + Foods_2_CA_1.l23 + Foods_3_CA_1.l23 + Hobbies_CA_1.l24 + Household_1_CA_1.l24 + Household_2_CA_1.l24 + Foods_1_CA_1.l24 + Foods_2_CA_1.l24 + Foods_3_CA_1.l24 + Hobbies_CA_1.l25 + Household_1_CA_1.l25 + Household_2_CA_1.l25 + Foods_1_CA_1.l25 + Foods_2_CA_1.l25 + Foods_3_CA_1.l25 + Hobbies_CA_1.l26 + Household_1_CA_1.l26 + Household_2_CA_1.l26 + Foods_1_CA_1.l26 + Foods_2_CA_1.l26 + Foods_3_CA_1.l26 + Hobbies_CA_1.l27 + Household_1_CA_1.l27 + Household_2_CA_1.l27 + Foods_1_CA_1.l27 + Foods_2_CA_1.l27 + Foods_3_CA_1.l27 + Hobbies_CA_1.l28 + Household_1_CA_1.l28 + Household_2_CA_1.l28 + Foods_1_CA_1.l28 + Foods_2_CA_1.l28 + Foods_3_CA_1.l28 + const 
## 
##                        Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_1.l1       0.1592642  0.0255437   6.235 5.64e-10 ***
## Household_1_CA_1.l1   0.0581590  0.0587597   0.990 0.322418    
## Household_2_CA_1.l1   0.1374725  0.1001903   1.372 0.170201    
## Foods_1_CA_1.l1       0.0634799  0.0662419   0.958 0.338040    
## Foods_2_CA_1.l1      -0.0792069  0.0388862  -2.037 0.041810 *  
## Foods_3_CA_1.l1      -0.0213182  0.0128867  -1.654 0.098248 .  
## Hobbies_CA_1.l2       0.0807449  0.0258606   3.122 0.001823 ** 
## Household_1_CA_1.l2   0.0066810  0.0596896   0.112 0.910893    
## Household_2_CA_1.l2   0.0568204  0.1010959   0.562 0.574157    
## Foods_1_CA_1.l2      -0.0287366  0.0694729  -0.414 0.679189    
## Foods_2_CA_1.l2       0.0469106  0.0415361   1.129 0.258885    
## Foods_3_CA_1.l2      -0.0461397  0.0136061  -3.391 0.000711 ***
## Hobbies_CA_1.l3       0.0521491  0.0259476   2.010 0.044605 *  
## Household_1_CA_1.l3  -0.0350095  0.0597806  -0.586 0.558197    
## Household_2_CA_1.l3   0.0171067  0.1014757   0.169 0.866147    
## Foods_1_CA_1.l3      -0.0518696  0.0698384  -0.743 0.457756    
## Foods_2_CA_1.l3       0.0533807  0.0418562   1.275 0.202357    
## Foods_3_CA_1.l3      -0.0148684  0.0137497  -1.081 0.279684    
## Hobbies_CA_1.l4       0.0631584  0.0259369   2.435 0.014987 *  
## Household_1_CA_1.l4  -0.1383261  0.0597034  -2.317 0.020623 *  
## Household_2_CA_1.l4  -0.2043224  0.1013226  -2.017 0.043893 *  
## Foods_1_CA_1.l4      -0.0713971  0.0700873  -1.019 0.308491    
## Foods_2_CA_1.l4      -0.0558780  0.0418657  -1.335 0.182147    
## Foods_3_CA_1.l4       0.0340244  0.0137360   2.477 0.013341 *  
## Hobbies_CA_1.l5       0.0278357  0.0258779   1.076 0.282228    
## Household_1_CA_1.l5   0.0798901  0.0596996   1.338 0.181002    
## Household_2_CA_1.l5  -0.1764727  0.1017934  -1.734 0.083157 .  
## Foods_1_CA_1.l5       0.1570730  0.0702593   2.236 0.025501 *  
## Foods_2_CA_1.l5       0.0477287  0.0420052   1.136 0.256003    
## Foods_3_CA_1.l5      -0.0438231  0.0137510  -3.187 0.001463 ** 
## Hobbies_CA_1.l6       0.0156029  0.0258828   0.603 0.546700    
## Household_1_CA_1.l6  -0.0770885  0.0597659  -1.290 0.197274    
## Household_2_CA_1.l6   0.1848030  0.1018678   1.814 0.069824 .  
## Foods_1_CA_1.l6      -0.0473328  0.0702049  -0.674 0.500266    
## Foods_2_CA_1.l6      -0.0476058  0.0421198  -1.130 0.258524    
## Foods_3_CA_1.l6       0.0413824  0.0138113   2.996 0.002771 ** 
## Hobbies_CA_1.l7       0.0535327  0.0259144   2.066 0.038997 *  
## Household_1_CA_1.l7   0.0619073  0.0600498   1.031 0.302712    
## Household_2_CA_1.l7   0.1719534  0.1023837   1.679 0.093231 .  
## Foods_1_CA_1.l7       0.0756101  0.0701346   1.078 0.281148    
## Foods_2_CA_1.l7       0.0650842  0.0421126   1.545 0.122409    
## Foods_3_CA_1.l7      -0.0112502  0.0138631  -0.812 0.417175    
## Hobbies_CA_1.l8      -0.0146750  0.0259199  -0.566 0.571351    
## Household_1_CA_1.l8  -0.0216151  0.0596866  -0.362 0.717288    
## Household_2_CA_1.l8  -0.0243222  0.1028500  -0.236 0.813086    
## Foods_1_CA_1.l8       0.0659009  0.0701608   0.939 0.347714    
## Foods_2_CA_1.l8      -0.0202892  0.0422561  -0.480 0.631180    
## Foods_3_CA_1.l8      -0.0046539  0.0139606  -0.333 0.738904    
## Hobbies_CA_1.l9       0.0186893  0.0259694   0.720 0.471825    
## Household_1_CA_1.l9   0.0492823  0.0596906   0.826 0.409126    
## Household_2_CA_1.l9   0.0515418  0.1026566   0.502 0.615674    
## Foods_1_CA_1.l9      -0.1257596  0.0701686  -1.792 0.073264 .  
## Foods_2_CA_1.l9      -0.0090448  0.0422199  -0.214 0.830392    
## Foods_3_CA_1.l9       0.0102211  0.0139177   0.734 0.462806    
## Hobbies_CA_1.l10      0.0460505  0.0258962   1.778 0.075531 .  
## Household_1_CA_1.l10  0.0171761  0.0596108   0.288 0.773275    
## Household_2_CA_1.l10 -0.0438138  0.1025952  -0.427 0.669391    
## Foods_1_CA_1.l10      0.0184224  0.0702533   0.262 0.793176    
## Foods_2_CA_1.l10     -0.0080917  0.0422665  -0.191 0.848199    
## Foods_3_CA_1.l10      0.0125298  0.0139726   0.897 0.369980    
## Hobbies_CA_1.l11      0.0508955  0.0258934   1.966 0.049504 *  
## Household_1_CA_1.l11  0.0640000  0.0594477   1.077 0.281817    
## Household_2_CA_1.l11 -0.0396317  0.1026776  -0.386 0.699556    
## Foods_1_CA_1.l11     -0.0424614  0.0703538  -0.604 0.546226    
## Foods_2_CA_1.l11      0.0685918  0.0423067   1.621 0.105132    
## Foods_3_CA_1.l11     -0.0204283  0.0139718  -1.462 0.143889    
## Hobbies_CA_1.l12      0.0065523  0.0259043   0.253 0.800341    
## Household_1_CA_1.l12 -0.0702404  0.0595639  -1.179 0.238459    
## Household_2_CA_1.l12 -0.0585423  0.1025136  -0.571 0.568025    
## Foods_1_CA_1.l12     -0.1538886  0.0703876  -2.186 0.028924 *  
## Foods_2_CA_1.l12     -0.0724866  0.0423415  -1.712 0.087081 .  
## Foods_3_CA_1.l12      0.0327557  0.0139648   2.346 0.019107 *  
## Hobbies_CA_1.l13      0.0147854  0.0258516   0.572 0.567439    
## Household_1_CA_1.l13  0.0387879  0.0595022   0.652 0.514567    
## Household_2_CA_1.l13  0.0975671  0.1022115   0.955 0.339930    
## Foods_1_CA_1.l13      0.0677152  0.0705271   0.960 0.337121    
## Foods_2_CA_1.l13     -0.0543229  0.0424158  -1.281 0.200459    
## Foods_3_CA_1.l13      0.0056006  0.0139865   0.400 0.688889    
## Hobbies_CA_1.l14      0.0730914  0.0258137   2.831 0.004685 ** 
## Household_1_CA_1.l14  0.0678331  0.0596669   1.137 0.255749    
## Household_2_CA_1.l14  0.0959409  0.1021218   0.939 0.347615    
## Foods_1_CA_1.l14      0.0010310  0.0705974   0.015 0.988349    
## Foods_2_CA_1.l14      0.0825523  0.0424846   1.943 0.052161 .  
## Foods_3_CA_1.l14     -0.0241155  0.0139325  -1.731 0.083646 .  
## Hobbies_CA_1.l15      0.0289120  0.0258442   1.119 0.263418    
## Household_1_CA_1.l15  0.0234709  0.0600309   0.391 0.695859    
## Household_2_CA_1.l15 -0.1679079  0.1017794  -1.650 0.099177 .  
## Foods_1_CA_1.l15     -0.0263935  0.0706016  -0.374 0.708570    
## Foods_2_CA_1.l15      0.0634076  0.0423644   1.497 0.134645    
## Foods_3_CA_1.l15     -0.0015679  0.0138833  -0.113 0.910095    
## Hobbies_CA_1.l16      0.0319159  0.0258821   1.233 0.217692    
## Household_1_CA_1.l16 -0.0082445  0.0601165  -0.137 0.890934    
## Household_2_CA_1.l16  0.0146666  0.1015792   0.144 0.885212    
## Foods_1_CA_1.l16     -0.0354057  0.0706090  -0.501 0.616128    
## Foods_2_CA_1.l16     -0.0783187  0.0423883  -1.848 0.064820 .  
## Foods_3_CA_1.l16      0.0285866  0.0138681   2.061 0.039419 *  
## Hobbies_CA_1.l17     -0.0582978  0.0258415  -2.256 0.024194 *  
## Household_1_CA_1.l17  0.1061997  0.0601504   1.766 0.077640 .  
## Household_2_CA_1.l17 -0.0730089  0.1015665  -0.719 0.472341    
## Foods_1_CA_1.l17      0.0636495  0.0706679   0.901 0.367878    
## Foods_2_CA_1.l17      0.0116101  0.0424026   0.274 0.784266    
## Foods_3_CA_1.l17     -0.0047643  0.0138706  -0.343 0.731276    
## Hobbies_CA_1.l18      0.0502210  0.0258124   1.946 0.051858 .  
## Household_1_CA_1.l18  0.0629043  0.0603016   1.043 0.297016    
## Household_2_CA_1.l18 -0.0036594  0.1014501  -0.036 0.971230    
## Foods_1_CA_1.l18      0.0386731  0.0706880   0.547 0.584381    
## Foods_2_CA_1.l18      0.0003772  0.0424078   0.009 0.992904    
## Foods_3_CA_1.l18     -0.0200364  0.0138659  -1.445 0.148630    
## Hobbies_CA_1.l19      0.0613942  0.0258431   2.376 0.017624 *  
## Household_1_CA_1.l19 -0.0260741  0.0602895  -0.432 0.665444    
## Household_2_CA_1.l19  0.1703414  0.1016286   1.676 0.093892 .  
## Foods_1_CA_1.l19     -0.0926053  0.0706022  -1.312 0.189809    
## Foods_2_CA_1.l19      0.0546985  0.0424385   1.289 0.197605    
## Foods_3_CA_1.l19     -0.0108390  0.0138981  -0.780 0.435560    
## Hobbies_CA_1.l20      0.0001530  0.0258663   0.006 0.995281    
## Household_1_CA_1.l20  0.0427819  0.0603674   0.709 0.478609    
## Household_2_CA_1.l20  0.0080036  0.1015880   0.079 0.937212    
## Foods_1_CA_1.l20     -0.0585872  0.0704337  -0.832 0.405630    
## Foods_2_CA_1.l20      0.0258585  0.0424695   0.609 0.542686    
## Foods_3_CA_1.l20     -0.0001781  0.0139007  -0.013 0.989781    
## Hobbies_CA_1.l21     -0.0018831  0.0258150  -0.073 0.941859    
## Household_1_CA_1.l21  0.0104986  0.0603464   0.174 0.861908    
## Household_2_CA_1.l21  0.0719698  0.1018035   0.707 0.479691    
## Foods_1_CA_1.l21     -0.1083205  0.0704618  -1.537 0.124400    
## Foods_2_CA_1.l21     -0.0145535  0.0424869  -0.343 0.731984    
## Foods_3_CA_1.l21      0.0108188  0.0138790   0.780 0.435784    
## Hobbies_CA_1.l22     -0.0295953  0.0257406  -1.150 0.250402    
## Household_1_CA_1.l22 -0.0170097  0.0608306  -0.280 0.779798    
## Household_2_CA_1.l22 -0.0097225  0.1013022  -0.096 0.923551    
## Foods_1_CA_1.l22      0.1620441  0.0704991   2.299 0.021648 *  
## Foods_2_CA_1.l22     -0.0096419  0.0423624  -0.228 0.819979    
## Foods_3_CA_1.l22     -0.0001125  0.0138029  -0.008 0.993499    
## Hobbies_CA_1.l23      0.0358913  0.0257160   1.396 0.162986    
## Household_1_CA_1.l23 -0.1086268  0.0607453  -1.788 0.073909 .  
## Household_2_CA_1.l23  0.0670586  0.1008423   0.665 0.506147    
## Foods_1_CA_1.l23     -0.1877066  0.0706143  -2.658 0.007927 ** 
## Foods_2_CA_1.l23     -0.0692748  0.0422817  -1.638 0.101513    
## Foods_3_CA_1.l23      0.0157634  0.0137621   1.145 0.252188    
## Hobbies_CA_1.l24     -0.0567152  0.0257209  -2.205 0.027580 *  
## Household_1_CA_1.l24 -0.0193999  0.0603529  -0.321 0.747914    
## Household_2_CA_1.l24  0.1105260  0.1007422   1.097 0.272739    
## Foods_1_CA_1.l24      0.1221784  0.0707837   1.726 0.084507 .  
## Foods_2_CA_1.l24      0.0187241  0.0422204   0.443 0.657470    
## Foods_3_CA_1.l24     -0.0072023  0.0137742  -0.523 0.601120    
## Hobbies_CA_1.l25     -0.0316637  0.0257461  -1.230 0.218919    
## Household_1_CA_1.l25 -0.0170964  0.0603218  -0.283 0.776888    
## Household_2_CA_1.l25  0.0080608  0.1004270   0.080 0.936035    
## Foods_1_CA_1.l25      0.0145160  0.0707191   0.205 0.837390    
## Foods_2_CA_1.l25     -0.1064808  0.0421624  -2.525 0.011640 *  
## Foods_3_CA_1.l25      0.0157214  0.0137908   1.140 0.254444    
## Hobbies_CA_1.l26      0.0133280  0.0257441   0.518 0.604726    
## Household_1_CA_1.l26 -0.0901206  0.0604314  -1.491 0.136064    
## Household_2_CA_1.l26 -0.0485910  0.1002758  -0.485 0.628039    
## Foods_1_CA_1.l26      0.0717869  0.0702146   1.022 0.306735    
## Foods_2_CA_1.l26      0.0577271  0.0421591   1.369 0.171089    
## Foods_3_CA_1.l26      0.0005516  0.0137890   0.040 0.968098    
## Hobbies_CA_1.l27      0.0081460  0.0255780   0.318 0.750161    
## Household_1_CA_1.l27  0.0417045  0.0601899   0.693 0.488474    
## Household_2_CA_1.l27 -0.0852248  0.0999891  -0.852 0.394140    
## Foods_1_CA_1.l27      0.1560365  0.0697673   2.237 0.025441 *  
## Foods_2_CA_1.l27     -0.0534564  0.0417873  -1.279 0.200976    
## Foods_3_CA_1.l27     -0.0011330  0.0136800  -0.083 0.934001    
## Hobbies_CA_1.l28      0.0814173  0.0251255   3.240 0.001216 ** 
## Household_1_CA_1.l28  0.0562325  0.0583888   0.963 0.335644    
## Household_2_CA_1.l28 -0.2135404  0.0988490  -2.160 0.030885 *  
## Foods_1_CA_1.l28      0.0651742  0.0665370   0.980 0.327458    
## Foods_2_CA_1.l28      0.0264673  0.0393069   0.673 0.500813    
## Foods_3_CA_1.l28      0.0160523  0.0129027   1.244 0.213625    
## const                41.7738205 21.1314924   1.977 0.048213 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 60.53 on 1772 degrees of freedom
## Multiple R-Squared: 0.572,   Adjusted R-squared: 0.5314 
## F-statistic:  14.1 on 168 and 1772 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Household_1_CA_1: 
## ================================================= 
## Household_1_CA_1 = Hobbies_CA_1.l1 + Household_1_CA_1.l1 + Household_2_CA_1.l1 + Foods_1_CA_1.l1 + Foods_2_CA_1.l1 + Foods_3_CA_1.l1 + Hobbies_CA_1.l2 + Household_1_CA_1.l2 + Household_2_CA_1.l2 + Foods_1_CA_1.l2 + Foods_2_CA_1.l2 + Foods_3_CA_1.l2 + Hobbies_CA_1.l3 + Household_1_CA_1.l3 + Household_2_CA_1.l3 + Foods_1_CA_1.l3 + Foods_2_CA_1.l3 + Foods_3_CA_1.l3 + Hobbies_CA_1.l4 + Household_1_CA_1.l4 + Household_2_CA_1.l4 + Foods_1_CA_1.l4 + Foods_2_CA_1.l4 + Foods_3_CA_1.l4 + Hobbies_CA_1.l5 + Household_1_CA_1.l5 + Household_2_CA_1.l5 + Foods_1_CA_1.l5 + Foods_2_CA_1.l5 + Foods_3_CA_1.l5 + Hobbies_CA_1.l6 + Household_1_CA_1.l6 + Household_2_CA_1.l6 + Foods_1_CA_1.l6 + Foods_2_CA_1.l6 + Foods_3_CA_1.l6 + Hobbies_CA_1.l7 + Household_1_CA_1.l7 + Household_2_CA_1.l7 + Foods_1_CA_1.l7 + Foods_2_CA_1.l7 + Foods_3_CA_1.l7 + Hobbies_CA_1.l8 + Household_1_CA_1.l8 + Household_2_CA_1.l8 + Foods_1_CA_1.l8 + Foods_2_CA_1.l8 + Foods_3_CA_1.l8 + Hobbies_CA_1.l9 + Household_1_CA_1.l9 + Household_2_CA_1.l9 + Foods_1_CA_1.l9 + Foods_2_CA_1.l9 + Foods_3_CA_1.l9 + Hobbies_CA_1.l10 + Household_1_CA_1.l10 + Household_2_CA_1.l10 + Foods_1_CA_1.l10 + Foods_2_CA_1.l10 + Foods_3_CA_1.l10 + Hobbies_CA_1.l11 + Household_1_CA_1.l11 + Household_2_CA_1.l11 + Foods_1_CA_1.l11 + Foods_2_CA_1.l11 + Foods_3_CA_1.l11 + Hobbies_CA_1.l12 + Household_1_CA_1.l12 + Household_2_CA_1.l12 + Foods_1_CA_1.l12 + Foods_2_CA_1.l12 + Foods_3_CA_1.l12 + Hobbies_CA_1.l13 + Household_1_CA_1.l13 + Household_2_CA_1.l13 + Foods_1_CA_1.l13 + Foods_2_CA_1.l13 + Foods_3_CA_1.l13 + Hobbies_CA_1.l14 + Household_1_CA_1.l14 + Household_2_CA_1.l14 + Foods_1_CA_1.l14 + Foods_2_CA_1.l14 + Foods_3_CA_1.l14 + Hobbies_CA_1.l15 + Household_1_CA_1.l15 + Household_2_CA_1.l15 + Foods_1_CA_1.l15 + Foods_2_CA_1.l15 + Foods_3_CA_1.l15 + Hobbies_CA_1.l16 + Household_1_CA_1.l16 + Household_2_CA_1.l16 + Foods_1_CA_1.l16 + Foods_2_CA_1.l16 + Foods_3_CA_1.l16 + Hobbies_CA_1.l17 + Household_1_CA_1.l17 + Household_2_CA_1.l17 + Foods_1_CA_1.l17 + Foods_2_CA_1.l17 + Foods_3_CA_1.l17 + Hobbies_CA_1.l18 + Household_1_CA_1.l18 + Household_2_CA_1.l18 + Foods_1_CA_1.l18 + Foods_2_CA_1.l18 + Foods_3_CA_1.l18 + Hobbies_CA_1.l19 + Household_1_CA_1.l19 + Household_2_CA_1.l19 + Foods_1_CA_1.l19 + Foods_2_CA_1.l19 + Foods_3_CA_1.l19 + Hobbies_CA_1.l20 + Household_1_CA_1.l20 + Household_2_CA_1.l20 + Foods_1_CA_1.l20 + Foods_2_CA_1.l20 + Foods_3_CA_1.l20 + Hobbies_CA_1.l21 + Household_1_CA_1.l21 + Household_2_CA_1.l21 + Foods_1_CA_1.l21 + Foods_2_CA_1.l21 + Foods_3_CA_1.l21 + Hobbies_CA_1.l22 + Household_1_CA_1.l22 + Household_2_CA_1.l22 + Foods_1_CA_1.l22 + Foods_2_CA_1.l22 + Foods_3_CA_1.l22 + Hobbies_CA_1.l23 + Household_1_CA_1.l23 + Household_2_CA_1.l23 + Foods_1_CA_1.l23 + Foods_2_CA_1.l23 + Foods_3_CA_1.l23 + Hobbies_CA_1.l24 + Household_1_CA_1.l24 + Household_2_CA_1.l24 + Foods_1_CA_1.l24 + Foods_2_CA_1.l24 + Foods_3_CA_1.l24 + Hobbies_CA_1.l25 + Household_1_CA_1.l25 + Household_2_CA_1.l25 + Foods_1_CA_1.l25 + Foods_2_CA_1.l25 + Foods_3_CA_1.l25 + Hobbies_CA_1.l26 + Household_1_CA_1.l26 + Household_2_CA_1.l26 + Foods_1_CA_1.l26 + Foods_2_CA_1.l26 + Foods_3_CA_1.l26 + Hobbies_CA_1.l27 + Household_1_CA_1.l27 + Household_2_CA_1.l27 + Foods_1_CA_1.l27 + Foods_2_CA_1.l27 + Foods_3_CA_1.l27 + Hobbies_CA_1.l28 + Household_1_CA_1.l28 + Household_2_CA_1.l28 + Foods_1_CA_1.l28 + Foods_2_CA_1.l28 + Foods_3_CA_1.l28 + const 
## 
##                        Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_1.l1      -0.0022587  0.0125168  -0.180  0.85682    
## Household_1_CA_1.l1   0.2007818  0.0287931   6.973 4.35e-12 ***
## Household_2_CA_1.l1   0.1432003  0.0490946   2.917  0.00358 ** 
## Foods_1_CA_1.l1       0.0734282  0.0324594   2.262  0.02381 *  
## Foods_2_CA_1.l1      -0.0060320  0.0190548  -0.317  0.75161    
## Foods_3_CA_1.l1      -0.0139050  0.0063147  -2.202  0.02779 *  
## Hobbies_CA_1.l2       0.0024779  0.0126721   0.196  0.84499    
## Household_1_CA_1.l2   0.0777630  0.0292487   2.659  0.00792 ** 
## Household_2_CA_1.l2  -0.0995108  0.0495384  -2.009  0.04471 *  
## Foods_1_CA_1.l2       0.0124295  0.0340426   0.365  0.71507    
## Foods_2_CA_1.l2       0.0068886  0.0203532   0.338  0.73506    
## Foods_3_CA_1.l2      -0.0160967  0.0066672  -2.414  0.01587 *  
## Hobbies_CA_1.l3      -0.0065563  0.0127147  -0.516  0.60616    
## Household_1_CA_1.l3   0.0204822  0.0292933   0.699  0.48451    
## Household_2_CA_1.l3   0.0008958  0.0497245   0.018  0.98563    
## Foods_1_CA_1.l3      -0.0233455  0.0342217  -0.682  0.49521    
## Foods_2_CA_1.l3       0.0268428  0.0205101   1.309  0.19078    
## Foods_3_CA_1.l3      -0.0018892  0.0067375  -0.280  0.77921    
## Hobbies_CA_1.l4      -0.0094979  0.0127094  -0.747  0.45498    
## Household_1_CA_1.l4  -0.0398989  0.0292555  -1.364  0.17280    
## Household_2_CA_1.l4  -0.0966499  0.0496495  -1.947  0.05174 .  
## Foods_1_CA_1.l4      -0.0207955  0.0343437  -0.606  0.54492    
## Foods_2_CA_1.l4      -0.0324122  0.0205148  -1.580  0.11430    
## Foods_3_CA_1.l4       0.0132573  0.0067308   1.970  0.04903 *  
## Hobbies_CA_1.l5       0.0373150  0.0126805   2.943  0.00330 ** 
## Household_1_CA_1.l5   0.0392999  0.0292536   1.343  0.17931    
## Household_2_CA_1.l5  -0.0412176  0.0498801  -0.826  0.40873    
## Foods_1_CA_1.l5      -0.0232869  0.0344280  -0.676  0.49888    
## Foods_2_CA_1.l5       0.0637348  0.0205831   3.096  0.00199 ** 
## Foods_3_CA_1.l5      -0.0267552  0.0067382  -3.971 7.45e-05 ***
## Hobbies_CA_1.l6      -0.0348751  0.0126829  -2.750  0.00602 ** 
## Household_1_CA_1.l6   0.0627253  0.0292861   2.142  0.03234 *  
## Household_2_CA_1.l6   0.0741057  0.0499166   1.485  0.13783    
## Foods_1_CA_1.l6      -0.0133855  0.0344014  -0.389  0.69725    
## Foods_2_CA_1.l6      -0.0279091  0.0206393  -1.352  0.17647    
## Foods_3_CA_1.l6       0.0058525  0.0067677   0.865  0.38729    
## Hobbies_CA_1.l7       0.0088386  0.0126984   0.696  0.48650    
## Household_1_CA_1.l7   0.0932695  0.0294252   3.170  0.00155 ** 
## Household_2_CA_1.l7  -0.0387933  0.0501694  -0.773  0.43948    
## Foods_1_CA_1.l7      -0.0243711  0.0343669  -0.709  0.47833    
## Foods_2_CA_1.l7      -0.0084303  0.0206357  -0.409  0.68293    
## Foods_3_CA_1.l7       0.0153354  0.0067931   2.257  0.02410 *  
## Hobbies_CA_1.l8      -0.0071486  0.0127011  -0.563  0.57362    
## Household_1_CA_1.l8   0.0185186  0.0292472   0.633  0.52670    
## Household_2_CA_1.l8   0.0038035  0.0503979   0.075  0.93985    
## Foods_1_CA_1.l8       0.0099245  0.0343798   0.289  0.77287    
## Foods_2_CA_1.l8       0.0063218  0.0207060   0.305  0.76016    
## Foods_3_CA_1.l8       0.0022514  0.0068409   0.329  0.74211    
## Hobbies_CA_1.l9      -0.0032590  0.0127254  -0.256  0.79790    
## Household_1_CA_1.l9  -0.0019858  0.0292492  -0.068  0.94588    
## Household_2_CA_1.l9   0.0338767  0.0503031   0.673  0.50075    
## Foods_1_CA_1.l9      -0.0538902  0.0343836  -1.567  0.11722    
## Foods_2_CA_1.l9       0.0309032  0.0206883   1.494  0.13542    
## Foods_3_CA_1.l9      -0.0110325  0.0068199  -1.618  0.10591    
## Hobbies_CA_1.l10      0.0109200  0.0126895   0.861  0.38960    
## Household_1_CA_1.l10  0.0106391  0.0292101   0.364  0.71573    
## Household_2_CA_1.l10  0.0862552  0.0502731   1.716  0.08639 .  
## Foods_1_CA_1.l10     -0.0519606  0.0344251  -1.509  0.13138    
## Foods_2_CA_1.l10     -0.0379198  0.0207112  -1.831  0.06729 .  
## Foods_3_CA_1.l10      0.0121337  0.0068468   1.772  0.07654 .  
## Hobbies_CA_1.l11      0.0104478  0.0126881   0.823  0.41037    
## Household_1_CA_1.l11 -0.0254558  0.0291302  -0.874  0.38231    
## Household_2_CA_1.l11  0.0312769  0.0503134   0.622  0.53426    
## Foods_1_CA_1.l11      0.0439684  0.0344743   1.275  0.20234    
## Foods_2_CA_1.l11      0.0232842  0.0207309   1.123  0.26152    
## Foods_3_CA_1.l11     -0.0066477  0.0068464  -0.971  0.33169    
## Hobbies_CA_1.l12     -0.0135837  0.0126935  -1.070  0.28470    
## Household_1_CA_1.l12 -0.0007842  0.0291871  -0.027  0.97857    
## Household_2_CA_1.l12  0.0017507  0.0502330   0.035  0.97220    
## Foods_1_CA_1.l12      0.0233428  0.0344909   0.677  0.49863    
## Foods_2_CA_1.l12      0.0116055  0.0207479   0.559  0.57599    
## Foods_3_CA_1.l12      0.0036118  0.0068430   0.528  0.59770    
## Hobbies_CA_1.l13     -0.0140484  0.0126676  -1.109  0.26758    
## Household_1_CA_1.l13  0.0907936  0.0291569   3.114  0.00188 ** 
## Household_2_CA_1.l13 -0.0133388  0.0500850  -0.266  0.79002    
## Foods_1_CA_1.l13      0.0086135  0.0345592   0.249  0.80320    
## Foods_2_CA_1.l13     -0.0448060  0.0207843  -2.156  0.03124 *  
## Foods_3_CA_1.l13      0.0058379  0.0068536   0.852  0.39444    
## Hobbies_CA_1.l14     -0.0040888  0.0126491  -0.323  0.74654    
## Household_1_CA_1.l14  0.1608110  0.0292376   5.500 4.35e-08 ***
## Household_2_CA_1.l14  0.0621304  0.0500411   1.242  0.21455    
## Foods_1_CA_1.l14     -0.0232319  0.0345937  -0.672  0.50195    
## Foods_2_CA_1.l14      0.0246373  0.0208180   1.183  0.23679    
## Foods_3_CA_1.l14      0.0002503  0.0068271   0.037  0.97076    
## Hobbies_CA_1.l15      0.0182383  0.0126640   1.440  0.15000    
## Household_1_CA_1.l15 -0.0476182  0.0294159  -1.619  0.10567    
## Household_2_CA_1.l15 -0.0048038  0.0498733  -0.096  0.92328    
## Foods_1_CA_1.l15     -0.0540987  0.0345957  -1.564  0.11806    
## Foods_2_CA_1.l15      0.0252786  0.0207591   1.218  0.22350    
## Foods_3_CA_1.l15     -0.0028390  0.0068030  -0.417  0.67650    
## Hobbies_CA_1.l16     -0.0020711  0.0126826  -0.163  0.87030    
## Household_1_CA_1.l16 -0.0182508  0.0294579  -0.620  0.53563    
## Household_2_CA_1.l16  0.0520534  0.0497752   1.046  0.29581    
## Foods_1_CA_1.l16      0.0185793  0.0345993   0.537  0.59135    
## Foods_2_CA_1.l16     -0.0089232  0.0207708  -0.430  0.66754    
## Foods_3_CA_1.l16      0.0080588  0.0067956   1.186  0.23582    
## Hobbies_CA_1.l17     -0.0096979  0.0126627  -0.766  0.44386    
## Household_1_CA_1.l17  0.0483242  0.0294745   1.640  0.10128    
## Household_2_CA_1.l17  0.0002325  0.0497689   0.005  0.99627    
## Foods_1_CA_1.l17     -0.0269515  0.0346282  -0.778  0.43649    
## Foods_2_CA_1.l17      0.0133484  0.0207778   0.642  0.52067    
## Foods_3_CA_1.l17     -0.0061448  0.0067968  -0.904  0.36608    
## Hobbies_CA_1.l18      0.0134649  0.0126484   1.065  0.28722    
## Household_1_CA_1.l18  0.0417295  0.0295486   1.412  0.15806    
## Household_2_CA_1.l18 -0.0619404  0.0497119  -1.246  0.21293    
## Foods_1_CA_1.l18      0.0127071  0.0346381   0.367  0.71377    
## Foods_2_CA_1.l18     -0.0342997  0.0207804  -1.651  0.09900 .  
## Foods_3_CA_1.l18      0.0104899  0.0067945   1.544  0.12279    
## Hobbies_CA_1.l19      0.0077810  0.0126635   0.614  0.53900    
## Household_1_CA_1.l19 -0.0046579  0.0295427  -0.158  0.87474    
## Household_2_CA_1.l19  0.0206351  0.0497994   0.414  0.67866    
## Foods_1_CA_1.l19      0.0025035  0.0345961   0.072  0.94232    
## Foods_2_CA_1.l19     -0.0078754  0.0207954  -0.379  0.70495    
## Foods_3_CA_1.l19     -0.0056493  0.0068103  -0.830  0.40692    
## Hobbies_CA_1.l20      0.0176300  0.0126748   1.391  0.16442    
## Household_1_CA_1.l20  0.0213399  0.0295808   0.721  0.47075    
## Household_2_CA_1.l20  0.0012057  0.0497795   0.024  0.98068    
## Foods_1_CA_1.l20     -0.0789096  0.0345134  -2.286  0.02235 *  
## Foods_2_CA_1.l20      0.0019691  0.0208106   0.095  0.92463    
## Foods_3_CA_1.l20      0.0031624  0.0068115   0.464  0.64251    
## Hobbies_CA_1.l21     -0.0198111  0.0126497  -1.566  0.11750    
## Household_1_CA_1.l21  0.1603630  0.0295706   5.423 6.66e-08 ***
## Household_2_CA_1.l21  0.0371929  0.0498851   0.746  0.45603    
## Foods_1_CA_1.l21     -0.0095896  0.0345272  -0.278  0.78124    
## Foods_2_CA_1.l21      0.0361945  0.0208192   1.739  0.08229 .  
## Foods_3_CA_1.l21     -0.0052431  0.0068009  -0.771  0.44084    
## Hobbies_CA_1.l22     -0.0098132  0.0126133  -0.778  0.43667    
## Household_1_CA_1.l22 -0.0103786  0.0298078  -0.348  0.72774    
## Household_2_CA_1.l22  0.0296204  0.0496394   0.597  0.55078    
## Foods_1_CA_1.l22      0.0267503  0.0345455   0.774  0.43883    
## Foods_2_CA_1.l22     -0.0071716  0.0207581  -0.345  0.72977    
## Foods_3_CA_1.l22     -0.0016275  0.0067636  -0.241  0.80987    
## Hobbies_CA_1.l23     -0.0019072  0.0126012  -0.151  0.87972    
## Household_1_CA_1.l23 -0.0214805  0.0297660  -0.722  0.47061    
## Household_2_CA_1.l23 -0.0426432  0.0494141  -0.863  0.38827    
## Foods_1_CA_1.l23     -0.0430805  0.0346020  -1.245  0.21329    
## Foods_2_CA_1.l23     -0.0182902  0.0207186  -0.883  0.37747    
## Foods_3_CA_1.l23      0.0123958  0.0067436   1.838  0.06621 .  
## Hobbies_CA_1.l24      0.0077264  0.0126036   0.613  0.53993    
## Household_1_CA_1.l24 -0.0382310  0.0295737  -1.293  0.19627    
## Household_2_CA_1.l24 -0.0501770  0.0493651  -1.016  0.30956    
## Foods_1_CA_1.l24      0.0341598  0.0346850   0.985  0.32483    
## Foods_2_CA_1.l24      0.0002083  0.0206886   0.010  0.99197    
## Foods_3_CA_1.l24     -0.0053750  0.0067496  -0.796  0.42594    
## Hobbies_CA_1.l25      0.0174959  0.0126160   1.387  0.16568    
## Household_1_CA_1.l25 -0.0403554  0.0295585  -1.365  0.17234    
## Household_2_CA_1.l25  0.0912274  0.0492106   1.854  0.06393 .  
## Foods_1_CA_1.l25     -0.0200352  0.0346533  -0.578  0.56323    
## Foods_2_CA_1.l25     -0.0279093  0.0206602  -1.351  0.17691    
## Foods_3_CA_1.l25      0.0061083  0.0067577   0.904  0.36617    
## Hobbies_CA_1.l26     -0.0225699  0.0126150  -1.789  0.07376 .  
## Household_1_CA_1.l26 -0.0105788  0.0296122  -0.357  0.72095    
## Household_2_CA_1.l26 -0.0657921  0.0491365  -1.339  0.18075    
## Foods_1_CA_1.l26      0.0604370  0.0344061   1.757  0.07916 .  
## Foods_2_CA_1.l26      0.0063707  0.0206585   0.308  0.75783    
## Foods_3_CA_1.l26      0.0013612  0.0067568   0.201  0.84036    
## Hobbies_CA_1.l27      0.0245526  0.0125336   1.959  0.05028 .  
## Household_1_CA_1.l27  0.0201284  0.0294939   0.682  0.49504    
## Household_2_CA_1.l27 -0.0309853  0.0489960  -0.632  0.52720    
## Foods_1_CA_1.l27      0.0933948  0.0341869   2.732  0.00636 ** 
## Foods_2_CA_1.l27     -0.0231372  0.0204763  -1.130  0.25865    
## Foods_3_CA_1.l27     -0.0069936  0.0067034  -1.043  0.29695    
## Hobbies_CA_1.l28     -0.0321120  0.0123118  -2.608  0.00918 ** 
## Household_1_CA_1.l28  0.1256535  0.0286113   4.392 1.19e-05 ***
## Household_2_CA_1.l28  0.0252750  0.0484373   0.522  0.60187    
## Foods_1_CA_1.l28      0.0551518  0.0326040   1.692  0.09090 .  
## Foods_2_CA_1.l28      0.0032615  0.0192609   0.169  0.86555    
## Foods_3_CA_1.l28      0.0129788  0.0063225   2.053  0.04024 *  
## const                -0.5864742 10.3547168  -0.057  0.95484    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 29.66 on 1772 degrees of freedom
## Multiple R-Squared: 0.841,   Adjusted R-squared: 0.826 
## F-statistic:  55.8 on 168 and 1772 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Household_2_CA_1: 
## ================================================= 
## Household_2_CA_1 = Hobbies_CA_1.l1 + Household_1_CA_1.l1 + Household_2_CA_1.l1 + Foods_1_CA_1.l1 + Foods_2_CA_1.l1 + Foods_3_CA_1.l1 + Hobbies_CA_1.l2 + Household_1_CA_1.l2 + Household_2_CA_1.l2 + Foods_1_CA_1.l2 + Foods_2_CA_1.l2 + Foods_3_CA_1.l2 + Hobbies_CA_1.l3 + Household_1_CA_1.l3 + Household_2_CA_1.l3 + Foods_1_CA_1.l3 + Foods_2_CA_1.l3 + Foods_3_CA_1.l3 + Hobbies_CA_1.l4 + Household_1_CA_1.l4 + Household_2_CA_1.l4 + Foods_1_CA_1.l4 + Foods_2_CA_1.l4 + Foods_3_CA_1.l4 + Hobbies_CA_1.l5 + Household_1_CA_1.l5 + Household_2_CA_1.l5 + Foods_1_CA_1.l5 + Foods_2_CA_1.l5 + Foods_3_CA_1.l5 + Hobbies_CA_1.l6 + Household_1_CA_1.l6 + Household_2_CA_1.l6 + Foods_1_CA_1.l6 + Foods_2_CA_1.l6 + Foods_3_CA_1.l6 + Hobbies_CA_1.l7 + Household_1_CA_1.l7 + Household_2_CA_1.l7 + Foods_1_CA_1.l7 + Foods_2_CA_1.l7 + Foods_3_CA_1.l7 + Hobbies_CA_1.l8 + Household_1_CA_1.l8 + Household_2_CA_1.l8 + Foods_1_CA_1.l8 + Foods_2_CA_1.l8 + Foods_3_CA_1.l8 + Hobbies_CA_1.l9 + Household_1_CA_1.l9 + Household_2_CA_1.l9 + Foods_1_CA_1.l9 + Foods_2_CA_1.l9 + Foods_3_CA_1.l9 + Hobbies_CA_1.l10 + Household_1_CA_1.l10 + Household_2_CA_1.l10 + Foods_1_CA_1.l10 + Foods_2_CA_1.l10 + Foods_3_CA_1.l10 + Hobbies_CA_1.l11 + Household_1_CA_1.l11 + Household_2_CA_1.l11 + Foods_1_CA_1.l11 + Foods_2_CA_1.l11 + Foods_3_CA_1.l11 + Hobbies_CA_1.l12 + Household_1_CA_1.l12 + Household_2_CA_1.l12 + Foods_1_CA_1.l12 + Foods_2_CA_1.l12 + Foods_3_CA_1.l12 + Hobbies_CA_1.l13 + Household_1_CA_1.l13 + Household_2_CA_1.l13 + Foods_1_CA_1.l13 + Foods_2_CA_1.l13 + Foods_3_CA_1.l13 + Hobbies_CA_1.l14 + Household_1_CA_1.l14 + Household_2_CA_1.l14 + Foods_1_CA_1.l14 + Foods_2_CA_1.l14 + Foods_3_CA_1.l14 + Hobbies_CA_1.l15 + Household_1_CA_1.l15 + Household_2_CA_1.l15 + Foods_1_CA_1.l15 + Foods_2_CA_1.l15 + Foods_3_CA_1.l15 + Hobbies_CA_1.l16 + Household_1_CA_1.l16 + Household_2_CA_1.l16 + Foods_1_CA_1.l16 + Foods_2_CA_1.l16 + Foods_3_CA_1.l16 + Hobbies_CA_1.l17 + Household_1_CA_1.l17 + Household_2_CA_1.l17 + Foods_1_CA_1.l17 + Foods_2_CA_1.l17 + Foods_3_CA_1.l17 + Hobbies_CA_1.l18 + Household_1_CA_1.l18 + Household_2_CA_1.l18 + Foods_1_CA_1.l18 + Foods_2_CA_1.l18 + Foods_3_CA_1.l18 + Hobbies_CA_1.l19 + Household_1_CA_1.l19 + Household_2_CA_1.l19 + Foods_1_CA_1.l19 + Foods_2_CA_1.l19 + Foods_3_CA_1.l19 + Hobbies_CA_1.l20 + Household_1_CA_1.l20 + Household_2_CA_1.l20 + Foods_1_CA_1.l20 + Foods_2_CA_1.l20 + Foods_3_CA_1.l20 + Hobbies_CA_1.l21 + Household_1_CA_1.l21 + Household_2_CA_1.l21 + Foods_1_CA_1.l21 + Foods_2_CA_1.l21 + Foods_3_CA_1.l21 + Hobbies_CA_1.l22 + Household_1_CA_1.l22 + Household_2_CA_1.l22 + Foods_1_CA_1.l22 + Foods_2_CA_1.l22 + Foods_3_CA_1.l22 + Hobbies_CA_1.l23 + Household_1_CA_1.l23 + Household_2_CA_1.l23 + Foods_1_CA_1.l23 + Foods_2_CA_1.l23 + Foods_3_CA_1.l23 + Hobbies_CA_1.l24 + Household_1_CA_1.l24 + Household_2_CA_1.l24 + Foods_1_CA_1.l24 + Foods_2_CA_1.l24 + Foods_3_CA_1.l24 + Hobbies_CA_1.l25 + Household_1_CA_1.l25 + Household_2_CA_1.l25 + Foods_1_CA_1.l25 + Foods_2_CA_1.l25 + Foods_3_CA_1.l25 + Hobbies_CA_1.l26 + Household_1_CA_1.l26 + Household_2_CA_1.l26 + Foods_1_CA_1.l26 + Foods_2_CA_1.l26 + Foods_3_CA_1.l26 + Hobbies_CA_1.l27 + Household_1_CA_1.l27 + Household_2_CA_1.l27 + Foods_1_CA_1.l27 + Foods_2_CA_1.l27 + Foods_3_CA_1.l27 + Hobbies_CA_1.l28 + Household_1_CA_1.l28 + Household_2_CA_1.l28 + Foods_1_CA_1.l28 + Foods_2_CA_1.l28 + Foods_3_CA_1.l28 + const 
## 
##                        Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_1.l1       0.0082211  0.0069796   1.178 0.239003    
## Household_1_CA_1.l1   0.0014233  0.0160556   0.089 0.929374    
## Household_2_CA_1.l1   0.1645607  0.0273761   6.011 2.23e-09 ***
## Foods_1_CA_1.l1       0.0382772  0.0181000   2.115 0.034589 *  
## Foods_2_CA_1.l1      -0.0115981  0.0106253  -1.092 0.275179    
## Foods_3_CA_1.l1      -0.0039283  0.0035212  -1.116 0.264743    
## Hobbies_CA_1.l2       0.0053906  0.0070662   0.763 0.445638    
## Household_1_CA_1.l2  -0.0133897  0.0163096  -0.821 0.411775    
## Household_2_CA_1.l2   0.0258441  0.0276235   0.936 0.349615    
## Foods_1_CA_1.l2      -0.0069389  0.0189828  -0.366 0.714756    
## Foods_2_CA_1.l2       0.0031332  0.0113493   0.276 0.782526    
## Foods_3_CA_1.l2      -0.0045163  0.0037177  -1.215 0.224607    
## Hobbies_CA_1.l3       0.0077873  0.0070899   1.098 0.272194    
## Household_1_CA_1.l3   0.0004216  0.0163345   0.026 0.979412    
## Household_2_CA_1.l3   0.0515640  0.0277273   1.860 0.063096 .  
## Foods_1_CA_1.l3       0.0058440  0.0190827   0.306 0.759454    
## Foods_2_CA_1.l3       0.0018813  0.0114368   0.164 0.869362    
## Foods_3_CA_1.l3      -0.0058325  0.0037570  -1.552 0.120736    
## Hobbies_CA_1.l4       0.0006111  0.0070870   0.086 0.931296    
## Household_1_CA_1.l4  -0.0409572  0.0163134  -2.511 0.012139 *  
## Household_2_CA_1.l4   0.0587923  0.0276855   2.124 0.033844 *  
## Foods_1_CA_1.l4      -0.0134468  0.0191507  -0.702 0.482675    
## Foods_2_CA_1.l4       0.0111571  0.0114394   0.975 0.329533    
## Foods_3_CA_1.l4       0.0008692  0.0037532   0.232 0.816889    
## Hobbies_CA_1.l5       0.0024779  0.0070709   0.350 0.726048    
## Household_1_CA_1.l5   0.0296716  0.0163124   1.819 0.069086 .  
## Household_2_CA_1.l5   0.0117679  0.0278141   0.423 0.672281    
## Foods_1_CA_1.l5       0.0212938  0.0191977   1.109 0.267502    
## Foods_2_CA_1.l5       0.0130663  0.0114775   1.138 0.255097    
## Foods_3_CA_1.l5      -0.0124409  0.0037573  -3.311 0.000948 ***
## Hobbies_CA_1.l6      -0.0044855  0.0070722  -0.634 0.526001    
## Household_1_CA_1.l6  -0.0309351  0.0163305  -1.894 0.058345 .  
## Household_2_CA_1.l6   0.1235168  0.0278344   4.438 9.66e-06 ***
## Foods_1_CA_1.l6       0.0161845  0.0191829   0.844 0.398952    
## Foods_2_CA_1.l6      -0.0140814  0.0115088  -1.224 0.221291    
## Foods_3_CA_1.l6       0.0075092  0.0037738   1.990 0.046765 *  
## Hobbies_CA_1.l7       0.0117068  0.0070809   1.653 0.098447 .  
## Household_1_CA_1.l7   0.0111214  0.0164080   0.678 0.497986    
## Household_2_CA_1.l7   0.1094707  0.0279754   3.913 9.46e-05 ***
## Foods_1_CA_1.l7      -0.0524664  0.0191636  -2.738 0.006247 ** 
## Foods_2_CA_1.l7      -0.0012901  0.0115069  -0.112 0.910748    
## Foods_3_CA_1.l7       0.0054792  0.0037880   1.446 0.148220    
## Hobbies_CA_1.l8      -0.0016266  0.0070824  -0.230 0.818374    
## Household_1_CA_1.l8  -0.0246879  0.0163088  -1.514 0.130260    
## Household_2_CA_1.l8   0.0383867  0.0281028   1.366 0.172131    
## Foods_1_CA_1.l8       0.0258843  0.0191708   1.350 0.177125    
## Foods_2_CA_1.l8       0.0055815  0.0115461   0.483 0.628866    
## Foods_3_CA_1.l8       0.0018131  0.0038146   0.475 0.634624    
## Hobbies_CA_1.l9       0.0033956  0.0070959   0.479 0.632337    
## Household_1_CA_1.l9   0.0154686  0.0163099   0.948 0.343048    
## Household_2_CA_1.l9   0.0240258  0.0280500   0.857 0.391818    
## Foods_1_CA_1.l9      -0.0299668  0.0191729  -1.563 0.118237    
## Foods_2_CA_1.l9       0.0115894  0.0115362   1.005 0.315221    
## Foods_3_CA_1.l9      -0.0034671  0.0038029  -0.912 0.362053    
## Hobbies_CA_1.l10      0.0139446  0.0070759   1.971 0.048913 *  
## Household_1_CA_1.l10  0.0068541  0.0162881   0.421 0.673950    
## Household_2_CA_1.l10  0.0317029  0.0280332   1.131 0.258249    
## Foods_1_CA_1.l10     -0.0324125  0.0191961  -1.688 0.091492 .  
## Foods_2_CA_1.l10     -0.0169440  0.0115489  -1.467 0.142514    
## Foods_3_CA_1.l10      0.0048593  0.0038179   1.273 0.203266    
## Hobbies_CA_1.l11      0.0011904  0.0070751   0.168 0.866404    
## Household_1_CA_1.l11  0.0174857  0.0162435   1.076 0.281864    
## Household_2_CA_1.l11 -0.0102985  0.0280557  -0.367 0.713608    
## Foods_1_CA_1.l11     -0.0034255  0.0192235  -0.178 0.858592    
## Foods_2_CA_1.l11     -0.0026459  0.0115599  -0.229 0.818983    
## Foods_3_CA_1.l11      0.0028942  0.0038177   0.758 0.448480    
## Hobbies_CA_1.l12     -0.0020646  0.0070781  -0.292 0.770555    
## Household_1_CA_1.l12 -0.0040901  0.0162753  -0.251 0.801608    
## Household_2_CA_1.l12 -0.0005838  0.0280109  -0.021 0.983374    
## Foods_1_CA_1.l12      0.0382783  0.0192328   1.990 0.046715 *  
## Foods_2_CA_1.l12      0.0083005  0.0115694   0.717 0.473193    
## Foods_3_CA_1.l12     -0.0025799  0.0038158  -0.676 0.499061    
## Hobbies_CA_1.l13     -0.0123669  0.0070637  -1.751 0.080159 .  
## Household_1_CA_1.l13  0.0031436  0.0162584   0.193 0.846705    
## Household_2_CA_1.l13  0.0578332  0.0279283   2.071 0.038525 *  
## Foods_1_CA_1.l13      0.0296627  0.0192709   1.539 0.123922    
## Foods_2_CA_1.l13     -0.0309191  0.0115897  -2.668 0.007705 ** 
## Foods_3_CA_1.l13      0.0052349  0.0038217   1.370 0.170928    
## Hobbies_CA_1.l14     -0.0031564  0.0070534  -0.448 0.654562    
## Household_1_CA_1.l14  0.0686461  0.0163034   4.211 2.68e-05 ***
## Household_2_CA_1.l14  0.0491711  0.0279038   1.762 0.078214 .  
## Foods_1_CA_1.l14     -0.0013674  0.0192901  -0.071 0.943495    
## Foods_2_CA_1.l14      0.0258577  0.0116085   2.227 0.026040 *  
## Foods_3_CA_1.l14     -0.0035023  0.0038069  -0.920 0.357706    
## Hobbies_CA_1.l15      0.0072458  0.0070617   1.026 0.304996    
## Household_1_CA_1.l15 -0.0545690  0.0164029  -3.327 0.000896 ***
## Household_2_CA_1.l15  0.0031254  0.0278103   0.112 0.910532    
## Foods_1_CA_1.l15     -0.0134959  0.0192912  -0.700 0.484276    
## Foods_2_CA_1.l15      0.0236708  0.0115757   2.045 0.041015 *  
## Foods_3_CA_1.l15     -0.0014014  0.0037935  -0.369 0.711863    
## Hobbies_CA_1.l16     -0.0048483  0.0070721  -0.686 0.493084    
## Household_1_CA_1.l16 -0.0053081  0.0164263  -0.323 0.746624    
## Household_2_CA_1.l16  0.0004360  0.0277556   0.016 0.987469    
## Foods_1_CA_1.l16     -0.0155337  0.0192933  -0.805 0.420850    
## Foods_2_CA_1.l16     -0.0306528  0.0115822  -2.647 0.008204 ** 
## Foods_3_CA_1.l16      0.0073810  0.0037893   1.948 0.051593 .  
## Hobbies_CA_1.l17     -0.0053570  0.0070610  -0.759 0.448147    
## Household_1_CA_1.l17  0.0387600  0.0164355   2.358 0.018467 *  
## Household_2_CA_1.l17  0.0231876  0.0277521   0.836 0.403535    
## Foods_1_CA_1.l17     -0.0286401  0.0193093  -1.483 0.138193    
## Foods_2_CA_1.l17      0.0161956  0.0115861   1.398 0.162334    
## Foods_3_CA_1.l17     -0.0072864  0.0037900  -1.923 0.054701 .  
## Hobbies_CA_1.l18     -0.0009082  0.0070530  -0.129 0.897557    
## Household_1_CA_1.l18  0.0122747  0.0164769   0.745 0.456392    
## Household_2_CA_1.l18  0.0189683  0.0277203   0.684 0.493892    
## Foods_1_CA_1.l18      0.0026933  0.0193148   0.139 0.889117    
## Foods_2_CA_1.l18     -0.0054441  0.0115875  -0.470 0.638542    
## Foods_3_CA_1.l18      0.0023476  0.0037887   0.620 0.535591    
## Hobbies_CA_1.l19      0.0019455  0.0070614   0.276 0.782954    
## Household_1_CA_1.l19  0.0158490  0.0164736   0.962 0.336138    
## Household_2_CA_1.l19  0.0171111  0.0277691   0.616 0.537847    
## Foods_1_CA_1.l19     -0.0061406  0.0192914  -0.318 0.750291    
## Foods_2_CA_1.l19      0.0048287  0.0115959   0.416 0.677155    
## Foods_3_CA_1.l19     -0.0082913  0.0037975  -2.183 0.029143 *  
## Hobbies_CA_1.l20      0.0029849  0.0070677   0.422 0.672841    
## Household_1_CA_1.l20  0.0184444  0.0164948   1.118 0.263635    
## Household_2_CA_1.l20  0.0470140  0.0277580   1.694 0.090496 .  
## Foods_1_CA_1.l20     -0.0230601  0.0192454  -1.198 0.230993    
## Foods_2_CA_1.l20     -0.0043161  0.0116044  -0.372 0.709984    
## Foods_3_CA_1.l20     -0.0016056  0.0037982  -0.423 0.672550    
## Hobbies_CA_1.l21     -0.0112417  0.0070537  -1.594 0.111175    
## Household_1_CA_1.l21  0.0059605  0.0164891   0.361 0.717782    
## Household_2_CA_1.l21  0.0762934  0.0278169   2.743 0.006155 ** 
## Foods_1_CA_1.l21      0.0065434  0.0192530   0.340 0.734001    
## Foods_2_CA_1.l21     -0.0082086  0.0116092  -0.707 0.479612    
## Foods_3_CA_1.l21      0.0034639  0.0037923   0.913 0.361152    
## Hobbies_CA_1.l22     -0.0048464  0.0070334  -0.689 0.490874    
## Household_1_CA_1.l22 -0.0219818  0.0166214  -1.322 0.186174    
## Household_2_CA_1.l22  0.0158033  0.0276799   0.571 0.568119    
## Foods_1_CA_1.l22      0.0168537  0.0192632   0.875 0.381738    
## Foods_2_CA_1.l22      0.0125503  0.0115751   1.084 0.278404    
## Foods_3_CA_1.l22     -0.0011336  0.0037715  -0.301 0.763785    
## Hobbies_CA_1.l23     -0.0111062  0.0070267  -1.581 0.114154    
## Household_1_CA_1.l23 -0.0094090  0.0165981  -0.567 0.570872    
## Household_2_CA_1.l23  0.0014728  0.0275542   0.053 0.957378    
## Foods_1_CA_1.l23      0.0081347  0.0192947   0.422 0.673368    
## Foods_2_CA_1.l23      0.0025100  0.0115531   0.217 0.828032    
## Foods_3_CA_1.l23     -0.0008740  0.0037604  -0.232 0.816226    
## Hobbies_CA_1.l24     -0.0062168  0.0070280  -0.885 0.376502    
## Household_1_CA_1.l24 -0.0294581  0.0164909  -1.786 0.074217 .  
## Household_2_CA_1.l24 -0.0206051  0.0275269  -0.749 0.454231    
## Foods_1_CA_1.l24      0.0214148  0.0193410   1.107 0.268347    
## Foods_2_CA_1.l24     -0.0173614  0.0115363  -1.505 0.132519    
## Foods_3_CA_1.l24      0.0083345  0.0037637   2.214 0.026924 *  
## Hobbies_CA_1.l25      0.0036206  0.0070349   0.515 0.606854    
## Household_1_CA_1.l25 -0.0437706  0.0164824  -2.656 0.007988 ** 
## Household_2_CA_1.l25 -0.0014639  0.0274408  -0.053 0.957460    
## Foods_1_CA_1.l25     -0.0115736  0.0193233  -0.599 0.549287    
## Foods_2_CA_1.l25     -0.0140031  0.0115205  -1.215 0.224340    
## Foods_3_CA_1.l25      0.0023554  0.0037682   0.625 0.531996    
## Hobbies_CA_1.l26     -0.0019313  0.0070343  -0.275 0.783689    
## Household_1_CA_1.l26  0.0027597  0.0165123   0.167 0.867285    
## Household_2_CA_1.l26  0.0074658  0.0273994   0.272 0.785286    
## Foods_1_CA_1.l26     -0.0029161  0.0191855  -0.152 0.879207    
## Foods_2_CA_1.l26      0.0099128  0.0115196   0.861 0.389619    
## Foods_3_CA_1.l26     -0.0011268  0.0037677  -0.299 0.764918    
## Hobbies_CA_1.l27      0.0123684  0.0069890   1.770 0.076948 .  
## Household_1_CA_1.l27  0.0165116  0.0164463   1.004 0.315532    
## Household_2_CA_1.l27 -0.0334090  0.0273211  -1.223 0.221558    
## Foods_1_CA_1.l27     -0.0059477  0.0190633  -0.312 0.755077    
## Foods_2_CA_1.l27     -0.0087574  0.0114180  -0.767 0.443195    
## Foods_3_CA_1.l27      0.0030939  0.0037379   0.828 0.407955    
## Hobbies_CA_1.l28      0.0019754  0.0068653   0.288 0.773580    
## Household_1_CA_1.l28  0.0134019  0.0159542   0.840 0.401008    
## Household_2_CA_1.l28  0.0283285  0.0270096   1.049 0.294398    
## Foods_1_CA_1.l28      0.0464430  0.0181806   2.555 0.010716 *  
## Foods_2_CA_1.l28      0.0009426  0.0107403   0.088 0.930077    
## Foods_3_CA_1.l28      0.0061911  0.0035256   1.756 0.079249 .  
## const                -1.8572724  5.7739860  -0.322 0.747747    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 16.54 on 1772 degrees of freedom
## Multiple R-Squared: 0.7587,  Adjusted R-squared: 0.7358 
## F-statistic: 33.16 on 168 and 1772 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Foods_1_CA_1: 
## ============================================= 
## Foods_1_CA_1 = Hobbies_CA_1.l1 + Household_1_CA_1.l1 + Household_2_CA_1.l1 + Foods_1_CA_1.l1 + Foods_2_CA_1.l1 + Foods_3_CA_1.l1 + Hobbies_CA_1.l2 + Household_1_CA_1.l2 + Household_2_CA_1.l2 + Foods_1_CA_1.l2 + Foods_2_CA_1.l2 + Foods_3_CA_1.l2 + Hobbies_CA_1.l3 + Household_1_CA_1.l3 + Household_2_CA_1.l3 + Foods_1_CA_1.l3 + Foods_2_CA_1.l3 + Foods_3_CA_1.l3 + Hobbies_CA_1.l4 + Household_1_CA_1.l4 + Household_2_CA_1.l4 + Foods_1_CA_1.l4 + Foods_2_CA_1.l4 + Foods_3_CA_1.l4 + Hobbies_CA_1.l5 + Household_1_CA_1.l5 + Household_2_CA_1.l5 + Foods_1_CA_1.l5 + Foods_2_CA_1.l5 + Foods_3_CA_1.l5 + Hobbies_CA_1.l6 + Household_1_CA_1.l6 + Household_2_CA_1.l6 + Foods_1_CA_1.l6 + Foods_2_CA_1.l6 + Foods_3_CA_1.l6 + Hobbies_CA_1.l7 + Household_1_CA_1.l7 + Household_2_CA_1.l7 + Foods_1_CA_1.l7 + Foods_2_CA_1.l7 + Foods_3_CA_1.l7 + Hobbies_CA_1.l8 + Household_1_CA_1.l8 + Household_2_CA_1.l8 + Foods_1_CA_1.l8 + Foods_2_CA_1.l8 + Foods_3_CA_1.l8 + Hobbies_CA_1.l9 + Household_1_CA_1.l9 + Household_2_CA_1.l9 + Foods_1_CA_1.l9 + Foods_2_CA_1.l9 + Foods_3_CA_1.l9 + Hobbies_CA_1.l10 + Household_1_CA_1.l10 + Household_2_CA_1.l10 + Foods_1_CA_1.l10 + Foods_2_CA_1.l10 + Foods_3_CA_1.l10 + Hobbies_CA_1.l11 + Household_1_CA_1.l11 + Household_2_CA_1.l11 + Foods_1_CA_1.l11 + Foods_2_CA_1.l11 + Foods_3_CA_1.l11 + Hobbies_CA_1.l12 + Household_1_CA_1.l12 + Household_2_CA_1.l12 + Foods_1_CA_1.l12 + Foods_2_CA_1.l12 + Foods_3_CA_1.l12 + Hobbies_CA_1.l13 + Household_1_CA_1.l13 + Household_2_CA_1.l13 + Foods_1_CA_1.l13 + Foods_2_CA_1.l13 + Foods_3_CA_1.l13 + Hobbies_CA_1.l14 + Household_1_CA_1.l14 + Household_2_CA_1.l14 + Foods_1_CA_1.l14 + Foods_2_CA_1.l14 + Foods_3_CA_1.l14 + Hobbies_CA_1.l15 + Household_1_CA_1.l15 + Household_2_CA_1.l15 + Foods_1_CA_1.l15 + Foods_2_CA_1.l15 + Foods_3_CA_1.l15 + Hobbies_CA_1.l16 + Household_1_CA_1.l16 + Household_2_CA_1.l16 + Foods_1_CA_1.l16 + Foods_2_CA_1.l16 + Foods_3_CA_1.l16 + Hobbies_CA_1.l17 + Household_1_CA_1.l17 + Household_2_CA_1.l17 + Foods_1_CA_1.l17 + Foods_2_CA_1.l17 + Foods_3_CA_1.l17 + Hobbies_CA_1.l18 + Household_1_CA_1.l18 + Household_2_CA_1.l18 + Foods_1_CA_1.l18 + Foods_2_CA_1.l18 + Foods_3_CA_1.l18 + Hobbies_CA_1.l19 + Household_1_CA_1.l19 + Household_2_CA_1.l19 + Foods_1_CA_1.l19 + Foods_2_CA_1.l19 + Foods_3_CA_1.l19 + Hobbies_CA_1.l20 + Household_1_CA_1.l20 + Household_2_CA_1.l20 + Foods_1_CA_1.l20 + Foods_2_CA_1.l20 + Foods_3_CA_1.l20 + Hobbies_CA_1.l21 + Household_1_CA_1.l21 + Household_2_CA_1.l21 + Foods_1_CA_1.l21 + Foods_2_CA_1.l21 + Foods_3_CA_1.l21 + Hobbies_CA_1.l22 + Household_1_CA_1.l22 + Household_2_CA_1.l22 + Foods_1_CA_1.l22 + Foods_2_CA_1.l22 + Foods_3_CA_1.l22 + Hobbies_CA_1.l23 + Household_1_CA_1.l23 + Household_2_CA_1.l23 + Foods_1_CA_1.l23 + Foods_2_CA_1.l23 + Foods_3_CA_1.l23 + Hobbies_CA_1.l24 + Household_1_CA_1.l24 + Household_2_CA_1.l24 + Foods_1_CA_1.l24 + Foods_2_CA_1.l24 + Foods_3_CA_1.l24 + Hobbies_CA_1.l25 + Household_1_CA_1.l25 + Household_2_CA_1.l25 + Foods_1_CA_1.l25 + Foods_2_CA_1.l25 + Foods_3_CA_1.l25 + Hobbies_CA_1.l26 + Household_1_CA_1.l26 + Household_2_CA_1.l26 + Foods_1_CA_1.l26 + Foods_2_CA_1.l26 + Foods_3_CA_1.l26 + Hobbies_CA_1.l27 + Household_1_CA_1.l27 + Household_2_CA_1.l27 + Foods_1_CA_1.l27 + Foods_2_CA_1.l27 + Foods_3_CA_1.l27 + Hobbies_CA_1.l28 + Household_1_CA_1.l28 + Household_2_CA_1.l28 + Foods_1_CA_1.l28 + Foods_2_CA_1.l28 + Foods_3_CA_1.l28 + const 
## 
##                        Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_1.l1       0.0213316  0.0104386   2.044 0.041147 *  
## Household_1_CA_1.l1   0.0503427  0.0240124   2.097 0.036177 *  
## Household_2_CA_1.l1   0.0285376  0.0409432   0.697 0.485891    
## Foods_1_CA_1.l1       0.3475585  0.0270700  12.839  < 2e-16 ***
## Foods_2_CA_1.l1      -0.0155168  0.0158910  -0.976 0.328975    
## Foods_3_CA_1.l1      -0.0093819  0.0052662  -1.782 0.075000 .  
## Hobbies_CA_1.l2      -0.0093501  0.0105681  -0.885 0.376410    
## Household_1_CA_1.l2  -0.0146887  0.0243924  -0.602 0.547130    
## Household_2_CA_1.l2  -0.0585134  0.0413133  -1.416 0.156854    
## Foods_1_CA_1.l2       0.1000465  0.0283904   3.524 0.000436 ***
## Foods_2_CA_1.l2      -0.0156750  0.0169739  -0.923 0.355886    
## Foods_3_CA_1.l2      -0.0047788  0.0055602  -0.859 0.390199    
## Hobbies_CA_1.l3      -0.0060770  0.0106036  -0.573 0.566645    
## Household_1_CA_1.l3  -0.0109247  0.0244296  -0.447 0.654791    
## Household_2_CA_1.l3   0.0056153  0.0414685   0.135 0.892302    
## Foods_1_CA_1.l3       0.1000067  0.0285398   3.504 0.000470 ***
## Foods_2_CA_1.l3       0.0010005  0.0171047   0.058 0.953363    
## Foods_3_CA_1.l3       0.0021437  0.0056189   0.382 0.702862    
## Hobbies_CA_1.l4       0.0008281  0.0105992   0.078 0.937733    
## Household_1_CA_1.l4  -0.0323543  0.0243981  -1.326 0.184977    
## Household_2_CA_1.l4  -0.0675498  0.0414059  -1.631 0.102983    
## Foods_1_CA_1.l4       0.0536315  0.0286415   1.873 0.061300 .  
## Foods_2_CA_1.l4      -0.0243176  0.0171086  -1.421 0.155386    
## Foods_3_CA_1.l4       0.0051441  0.0056133   0.916 0.359577    
## Hobbies_CA_1.l5       0.0079600  0.0105751   0.753 0.451726    
## Household_1_CA_1.l5   0.0088748  0.0243965   0.364 0.716071    
## Household_2_CA_1.l5  -0.0204273  0.0415983  -0.491 0.623445    
## Foods_1_CA_1.l5       0.0358095  0.0287118   1.247 0.212487    
## Foods_2_CA_1.l5       0.0379395  0.0171656   2.210 0.027219 *  
## Foods_3_CA_1.l5      -0.0110188  0.0056194  -1.961 0.050053 .  
## Hobbies_CA_1.l6      -0.0235121  0.0105771  -2.223 0.026346 *  
## Household_1_CA_1.l6   0.0070339  0.0244236   0.288 0.773385    
## Household_2_CA_1.l6   0.0422468  0.0416287   1.015 0.310317    
## Foods_1_CA_1.l6       0.0356889  0.0286896   1.244 0.213676    
## Foods_2_CA_1.l6      -0.0083856  0.0172124  -0.487 0.626191    
## Foods_3_CA_1.l6       0.0057919  0.0056440   1.026 0.304936    
## Hobbies_CA_1.l7       0.0044777  0.0105900   0.423 0.672476    
## Household_1_CA_1.l7   0.0427475  0.0245396   1.742 0.081685 .  
## Household_2_CA_1.l7   0.0300831  0.0418395   0.719 0.472229    
## Foods_1_CA_1.l7      -0.0148369  0.0286608  -0.518 0.604753    
## Foods_2_CA_1.l7       0.0030052  0.0172095   0.175 0.861396    
## Foods_3_CA_1.l7       0.0026053  0.0056652   0.460 0.645656    
## Hobbies_CA_1.l8      -0.0143994  0.0105923  -1.359 0.174185    
## Household_1_CA_1.l8  -0.0229293  0.0243912  -0.940 0.347313    
## Household_2_CA_1.l8   0.0025422  0.0420301   0.060 0.951775    
## Foods_1_CA_1.l8       0.0493545  0.0286715   1.721 0.085357 .  
## Foods_2_CA_1.l8       0.0015356  0.0172681   0.089 0.929149    
## Foods_3_CA_1.l8       0.0060240  0.0057051   1.056 0.291161    
## Hobbies_CA_1.l9       0.0091318  0.0106125   0.860 0.389642    
## Household_1_CA_1.l9   0.0279633  0.0243928   1.146 0.251795    
## Household_2_CA_1.l9  -0.0388630  0.0419511  -0.926 0.354371    
## Foods_1_CA_1.l9      -0.0509346  0.0286747  -1.776 0.075856 .  
## Foods_2_CA_1.l9       0.0555580  0.0172534   3.220 0.001305 ** 
## Foods_3_CA_1.l9      -0.0194207  0.0056875  -3.415 0.000653 ***
## Hobbies_CA_1.l10      0.0110949  0.0105826   1.048 0.294592    
## Household_1_CA_1.l10 -0.0183908  0.0243602  -0.755 0.450379    
## Household_2_CA_1.l10  0.0151248  0.0419260   0.361 0.718329    
## Foods_1_CA_1.l10     -0.0486630  0.0287093  -1.695 0.090247 .  
## Foods_2_CA_1.l10     -0.0083888  0.0172724  -0.486 0.627258    
## Foods_3_CA_1.l10      0.0057543  0.0057100   1.008 0.313708    
## Hobbies_CA_1.l11     -0.0020912  0.0105815  -0.198 0.843357    
## Household_1_CA_1.l11  0.0018902  0.0242936   0.078 0.937992    
## Household_2_CA_1.l11  0.0144663  0.0419596   0.345 0.730311    
## Foods_1_CA_1.l11     -0.0485347  0.0287504  -1.688 0.091560 .  
## Foods_2_CA_1.l11      0.0255676  0.0172888   1.479 0.139358    
## Foods_3_CA_1.l11     -0.0080839  0.0057096  -1.416 0.157000    
## Hobbies_CA_1.l12     -0.0049527  0.0105859  -0.468 0.639942    
## Household_1_CA_1.l12 -0.0151134  0.0243411  -0.621 0.534744    
## Household_2_CA_1.l12 -0.0202356  0.0418926  -0.483 0.629131    
## Foods_1_CA_1.l12      0.0434341  0.0287642   1.510 0.131220    
## Foods_2_CA_1.l12     -0.0015495  0.0173030  -0.090 0.928653    
## Foods_3_CA_1.l12     -0.0013461  0.0057068  -0.236 0.813552    
## Hobbies_CA_1.l13     -0.0085536  0.0105644  -0.810 0.418243    
## Household_1_CA_1.l13  0.0012613  0.0243158   0.052 0.958638    
## Household_2_CA_1.l13  0.0053166  0.0417692   0.127 0.898729    
## Foods_1_CA_1.l13      0.0464379  0.0288212   1.611 0.107306    
## Foods_2_CA_1.l13     -0.0172219  0.0173334  -0.994 0.320570    
## Foods_3_CA_1.l13      0.0010600  0.0057157   0.185 0.852894    
## Hobbies_CA_1.l14     -0.0027064  0.0105489  -0.257 0.797546    
## Household_1_CA_1.l14  0.0707751  0.0243832   2.903 0.003746 ** 
## Household_2_CA_1.l14 -0.0035866  0.0417325  -0.086 0.931522    
## Foods_1_CA_1.l14      0.0378413  0.0288499   1.312 0.189805    
## Foods_2_CA_1.l14     -0.0024152  0.0173615  -0.139 0.889377    
## Foods_3_CA_1.l14      0.0011767  0.0056936   0.207 0.836284    
## Hobbies_CA_1.l15      0.0014960  0.0105614   0.142 0.887370    
## Household_1_CA_1.l15 -0.0172362  0.0245319  -0.703 0.482396    
## Household_2_CA_1.l15  0.0005112  0.0415926   0.012 0.990195    
## Foods_1_CA_1.l15     -0.0238991  0.0288517  -0.828 0.407587    
## Foods_2_CA_1.l15     -0.0064317  0.0173124  -0.372 0.710303    
## Foods_3_CA_1.l15      0.0007466  0.0056735   0.132 0.895325    
## Hobbies_CA_1.l16      0.0127712  0.0105768   1.207 0.227413    
## Household_1_CA_1.l16 -0.0436429  0.0245669  -1.776 0.075823 .  
## Household_2_CA_1.l16  0.0537229  0.0415108   1.294 0.195768    
## Foods_1_CA_1.l16     -0.0370611  0.0288547  -1.284 0.199167    
## Foods_2_CA_1.l16      0.0111971  0.0173222   0.646 0.518100    
## Foods_3_CA_1.l16      0.0012093  0.0056673   0.213 0.831049    
## Hobbies_CA_1.l17     -0.0087110  0.0105602  -0.825 0.409545    
## Household_1_CA_1.l17  0.0608005  0.0245807   2.474 0.013473 *  
## Household_2_CA_1.l17 -0.0056438  0.0415056  -0.136 0.891856    
## Foods_1_CA_1.l17     -0.0457871  0.0288787  -1.585 0.113032    
## Foods_2_CA_1.l17      0.0048499  0.0173280   0.280 0.779596    
## Foods_3_CA_1.l17     -0.0061222  0.0056683  -1.080 0.280255    
## Hobbies_CA_1.l18      0.0006435  0.0105483   0.061 0.951360    
## Household_1_CA_1.l18 -0.0036384  0.0246425  -0.148 0.882639    
## Household_2_CA_1.l18  0.0443283  0.0414580   1.069 0.285111    
## Foods_1_CA_1.l18      0.0060259  0.0288869   0.209 0.834782    
## Foods_2_CA_1.l18     -0.0058200  0.0173301  -0.336 0.737038    
## Foods_3_CA_1.l18     -0.0003387  0.0056664  -0.060 0.952337    
## Hobbies_CA_1.l19     -0.0042537  0.0105609  -0.403 0.687163    
## Household_1_CA_1.l19  0.0124291  0.0246376   0.504 0.613989    
## Household_2_CA_1.l19  0.0161575  0.0415310   0.389 0.697288    
## Foods_1_CA_1.l19      0.0226181  0.0288519   0.784 0.433182    
## Foods_2_CA_1.l19      0.0036258  0.0173427   0.209 0.834420    
## Foods_3_CA_1.l19     -0.0019116  0.0056795  -0.337 0.736475    
## Hobbies_CA_1.l20     -0.0011135  0.0105704  -0.105 0.916117    
## Household_1_CA_1.l20  0.0131939  0.0246694   0.535 0.592836    
## Household_2_CA_1.l20 -0.0165868  0.0415144  -0.400 0.689541    
## Foods_1_CA_1.l20     -0.0640948  0.0287830  -2.227 0.026084 *  
## Foods_2_CA_1.l20      0.0021257  0.0173553   0.122 0.902531    
## Foods_3_CA_1.l20     -0.0032121  0.0056806  -0.565 0.571832    
## Hobbies_CA_1.l21     -0.0040268  0.0105494  -0.382 0.702722    
## Household_1_CA_1.l21  0.0487290  0.0246608   1.976 0.048313 *  
## Household_2_CA_1.l21  0.0514825  0.0416024   1.237 0.216070    
## Foods_1_CA_1.l21      0.0152425  0.0287945   0.529 0.596626    
## Foods_2_CA_1.l21     -0.0080629  0.0173625  -0.464 0.642427    
## Foods_3_CA_1.l21      0.0006802  0.0056717   0.120 0.904547    
## Hobbies_CA_1.l22      0.0154703  0.0105190   1.471 0.141550    
## Household_1_CA_1.l22 -0.0156258  0.0248587  -0.629 0.529702    
## Household_2_CA_1.l22  0.0595562  0.0413976   1.439 0.150429    
## Foods_1_CA_1.l22      0.0141021  0.0288098   0.489 0.624556    
## Foods_2_CA_1.l22     -0.0042550  0.0173116  -0.246 0.805875    
## Foods_3_CA_1.l22     -0.0078579  0.0056406  -1.393 0.163765    
## Hobbies_CA_1.l23     -0.0201036  0.0105090  -1.913 0.055909 .  
## Household_1_CA_1.l23 -0.0048486  0.0248239  -0.195 0.845164    
## Household_2_CA_1.l23  0.0300855  0.0412097   0.730 0.465450    
## Foods_1_CA_1.l23      0.0074480  0.0288568   0.258 0.796359    
## Foods_2_CA_1.l23     -0.0177428  0.0172786  -1.027 0.304623    
## Foods_3_CA_1.l23      0.0122417  0.0056239   2.177 0.029633 *  
## Hobbies_CA_1.l24     -0.0095389  0.0105109  -0.908 0.364254    
## Household_1_CA_1.l24 -0.0245275  0.0246635  -0.994 0.320122    
## Household_2_CA_1.l24 -0.0130827  0.0411688  -0.318 0.750688    
## Foods_1_CA_1.l24      0.0097422  0.0289261   0.337 0.736310    
## Foods_2_CA_1.l24     -0.0040660  0.0172536  -0.236 0.813721    
## Foods_3_CA_1.l24      0.0023036  0.0056289   0.409 0.682413    
## Hobbies_CA_1.l25      0.0194660  0.0105213   1.850 0.064458 .  
## Household_1_CA_1.l25 -0.0265972  0.0246508  -1.079 0.280752    
## Household_2_CA_1.l25 -0.0170559  0.0410400  -0.416 0.677758    
## Foods_1_CA_1.l25      0.0138995  0.0288997   0.481 0.630607    
## Foods_2_CA_1.l25     -0.0035309  0.0172299  -0.205 0.837653    
## Foods_3_CA_1.l25      0.0018470  0.0056357   0.328 0.743156    
## Hobbies_CA_1.l26     -0.0035732  0.0105205  -0.340 0.734162    
## Household_1_CA_1.l26 -0.0126343  0.0246956  -0.512 0.608992    
## Household_2_CA_1.l26  0.0190312  0.0409782   0.464 0.642401    
## Foods_1_CA_1.l26      0.0370213  0.0286935   1.290 0.197138    
## Foods_2_CA_1.l26     -0.0044257  0.0172285  -0.257 0.797298    
## Foods_3_CA_1.l26      0.0008277  0.0056349   0.147 0.883235    
## Hobbies_CA_1.l27      0.0025268  0.0104526   0.242 0.809010    
## Household_1_CA_1.l27 -0.0188671  0.0245969  -0.767 0.443153    
## Household_2_CA_1.l27 -0.0325672  0.0408610  -0.797 0.425544    
## Foods_1_CA_1.l27      0.0815252  0.0285107   2.859 0.004293 ** 
## Foods_2_CA_1.l27      0.0036106  0.0170766   0.211 0.832573    
## Foods_3_CA_1.l27      0.0004589  0.0055904   0.082 0.934587    
## Hobbies_CA_1.l28     -0.0096550  0.0102677  -0.940 0.347176    
## Household_1_CA_1.l28 -0.0309628  0.0238608  -1.298 0.194580    
## Household_2_CA_1.l28  0.0098118  0.0403951   0.243 0.808115    
## Foods_1_CA_1.l28      0.0971543  0.0271907   3.573 0.000362 ***
## Foods_2_CA_1.l28     -0.0033205  0.0160630  -0.207 0.836253    
## Foods_3_CA_1.l28      0.0135305  0.0052728   2.566 0.010366 *  
## const                29.5575252  8.6354775   3.423 0.000634 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 24.73 on 1772 degrees of freedom
## Multiple R-Squared: 0.6464,  Adjusted R-squared: 0.6129 
## F-statistic: 19.28 on 168 and 1772 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Foods_2_CA_1: 
## ============================================= 
## Foods_2_CA_1 = Hobbies_CA_1.l1 + Household_1_CA_1.l1 + Household_2_CA_1.l1 + Foods_1_CA_1.l1 + Foods_2_CA_1.l1 + Foods_3_CA_1.l1 + Hobbies_CA_1.l2 + Household_1_CA_1.l2 + Household_2_CA_1.l2 + Foods_1_CA_1.l2 + Foods_2_CA_1.l2 + Foods_3_CA_1.l2 + Hobbies_CA_1.l3 + Household_1_CA_1.l3 + Household_2_CA_1.l3 + Foods_1_CA_1.l3 + Foods_2_CA_1.l3 + Foods_3_CA_1.l3 + Hobbies_CA_1.l4 + Household_1_CA_1.l4 + Household_2_CA_1.l4 + Foods_1_CA_1.l4 + Foods_2_CA_1.l4 + Foods_3_CA_1.l4 + Hobbies_CA_1.l5 + Household_1_CA_1.l5 + Household_2_CA_1.l5 + Foods_1_CA_1.l5 + Foods_2_CA_1.l5 + Foods_3_CA_1.l5 + Hobbies_CA_1.l6 + Household_1_CA_1.l6 + Household_2_CA_1.l6 + Foods_1_CA_1.l6 + Foods_2_CA_1.l6 + Foods_3_CA_1.l6 + Hobbies_CA_1.l7 + Household_1_CA_1.l7 + Household_2_CA_1.l7 + Foods_1_CA_1.l7 + Foods_2_CA_1.l7 + Foods_3_CA_1.l7 + Hobbies_CA_1.l8 + Household_1_CA_1.l8 + Household_2_CA_1.l8 + Foods_1_CA_1.l8 + Foods_2_CA_1.l8 + Foods_3_CA_1.l8 + Hobbies_CA_1.l9 + Household_1_CA_1.l9 + Household_2_CA_1.l9 + Foods_1_CA_1.l9 + Foods_2_CA_1.l9 + Foods_3_CA_1.l9 + Hobbies_CA_1.l10 + Household_1_CA_1.l10 + Household_2_CA_1.l10 + Foods_1_CA_1.l10 + Foods_2_CA_1.l10 + Foods_3_CA_1.l10 + Hobbies_CA_1.l11 + Household_1_CA_1.l11 + Household_2_CA_1.l11 + Foods_1_CA_1.l11 + Foods_2_CA_1.l11 + Foods_3_CA_1.l11 + Hobbies_CA_1.l12 + Household_1_CA_1.l12 + Household_2_CA_1.l12 + Foods_1_CA_1.l12 + Foods_2_CA_1.l12 + Foods_3_CA_1.l12 + Hobbies_CA_1.l13 + Household_1_CA_1.l13 + Household_2_CA_1.l13 + Foods_1_CA_1.l13 + Foods_2_CA_1.l13 + Foods_3_CA_1.l13 + Hobbies_CA_1.l14 + Household_1_CA_1.l14 + Household_2_CA_1.l14 + Foods_1_CA_1.l14 + Foods_2_CA_1.l14 + Foods_3_CA_1.l14 + Hobbies_CA_1.l15 + Household_1_CA_1.l15 + Household_2_CA_1.l15 + Foods_1_CA_1.l15 + Foods_2_CA_1.l15 + Foods_3_CA_1.l15 + Hobbies_CA_1.l16 + Household_1_CA_1.l16 + Household_2_CA_1.l16 + Foods_1_CA_1.l16 + Foods_2_CA_1.l16 + Foods_3_CA_1.l16 + Hobbies_CA_1.l17 + Household_1_CA_1.l17 + Household_2_CA_1.l17 + Foods_1_CA_1.l17 + Foods_2_CA_1.l17 + Foods_3_CA_1.l17 + Hobbies_CA_1.l18 + Household_1_CA_1.l18 + Household_2_CA_1.l18 + Foods_1_CA_1.l18 + Foods_2_CA_1.l18 + Foods_3_CA_1.l18 + Hobbies_CA_1.l19 + Household_1_CA_1.l19 + Household_2_CA_1.l19 + Foods_1_CA_1.l19 + Foods_2_CA_1.l19 + Foods_3_CA_1.l19 + Hobbies_CA_1.l20 + Household_1_CA_1.l20 + Household_2_CA_1.l20 + Foods_1_CA_1.l20 + Foods_2_CA_1.l20 + Foods_3_CA_1.l20 + Hobbies_CA_1.l21 + Household_1_CA_1.l21 + Household_2_CA_1.l21 + Foods_1_CA_1.l21 + Foods_2_CA_1.l21 + Foods_3_CA_1.l21 + Hobbies_CA_1.l22 + Household_1_CA_1.l22 + Household_2_CA_1.l22 + Foods_1_CA_1.l22 + Foods_2_CA_1.l22 + Foods_3_CA_1.l22 + Hobbies_CA_1.l23 + Household_1_CA_1.l23 + Household_2_CA_1.l23 + Foods_1_CA_1.l23 + Foods_2_CA_1.l23 + Foods_3_CA_1.l23 + Hobbies_CA_1.l24 + Household_1_CA_1.l24 + Household_2_CA_1.l24 + Foods_1_CA_1.l24 + Foods_2_CA_1.l24 + Foods_3_CA_1.l24 + Hobbies_CA_1.l25 + Household_1_CA_1.l25 + Household_2_CA_1.l25 + Foods_1_CA_1.l25 + Foods_2_CA_1.l25 + Foods_3_CA_1.l25 + Hobbies_CA_1.l26 + Household_1_CA_1.l26 + Household_2_CA_1.l26 + Foods_1_CA_1.l26 + Foods_2_CA_1.l26 + Foods_3_CA_1.l26 + Hobbies_CA_1.l27 + Household_1_CA_1.l27 + Household_2_CA_1.l27 + Foods_1_CA_1.l27 + Foods_2_CA_1.l27 + Foods_3_CA_1.l27 + Hobbies_CA_1.l28 + Household_1_CA_1.l28 + Household_2_CA_1.l28 + Foods_1_CA_1.l28 + Foods_2_CA_1.l28 + Foods_3_CA_1.l28 + const 
## 
##                        Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_1.l1       0.0292781  0.0230805   1.269  0.20478    
## Household_1_CA_1.l1  -0.0519948  0.0530933  -0.979  0.32756    
## Household_2_CA_1.l1   0.1363240  0.0905286   1.506  0.13228    
## Foods_1_CA_1.l1       0.1233838  0.0598539   2.061  0.03941 *  
## Foods_2_CA_1.l1       0.4247310  0.0351363  12.088  < 2e-16 ***
## Foods_3_CA_1.l1      -0.0173268  0.0116440  -1.488  0.13692    
## Hobbies_CA_1.l2      -0.0050634  0.0233668  -0.217  0.82847    
## Household_1_CA_1.l2   0.0290318  0.0539335   0.538  0.59044    
## Household_2_CA_1.l2  -0.1699929  0.0913469  -1.861  0.06292 .  
## Foods_1_CA_1.l2       0.0124341  0.0627734   0.198  0.84301    
## Foods_2_CA_1.l2       0.1487869  0.0375306   3.964 7.65e-05 ***
## Foods_3_CA_1.l2      -0.0277169  0.0122940  -2.254  0.02429 *  
## Hobbies_CA_1.l3      -0.0192658  0.0234454  -0.822  0.41134    
## Household_1_CA_1.l3   0.0459128  0.0540158   0.850  0.39545    
## Household_2_CA_1.l3   0.2489132  0.0916901   2.715  0.00670 ** 
## Foods_1_CA_1.l3       0.0123675  0.0631036   0.196  0.84464    
## Foods_2_CA_1.l3       0.0743702  0.0378198   1.966  0.04940 *  
## Foods_3_CA_1.l3      -0.0143944  0.0124238  -1.159  0.24677    
## Hobbies_CA_1.l4      -0.0138424  0.0234357  -0.591  0.55483    
## Household_1_CA_1.l4  -0.0330789  0.0539460  -0.613  0.53983    
## Household_2_CA_1.l4  -0.0815395  0.0915518  -0.891  0.37324    
## Foods_1_CA_1.l4       0.0039498  0.0633286   0.062  0.95028    
## Foods_2_CA_1.l4       0.0455340  0.0378285   1.204  0.22887    
## Foods_3_CA_1.l4       0.0165554  0.0124114   1.334  0.18241    
## Hobbies_CA_1.l5      -0.0286025  0.0233824  -1.223  0.22140    
## Household_1_CA_1.l5  -0.0390445  0.0539426  -0.724  0.46927    
## Household_2_CA_1.l5  -0.0710720  0.0919771  -0.773  0.43979    
## Foods_1_CA_1.l5       0.0271105  0.0634840   0.427  0.66940    
## Foods_2_CA_1.l5       0.0968294  0.0379545   2.551  0.01082 *  
## Foods_3_CA_1.l5      -0.0136590  0.0124250  -1.099  0.27178    
## Hobbies_CA_1.l6      -0.0047236  0.0233868  -0.202  0.83996    
## Household_1_CA_1.l6   0.0373959  0.0540025   0.692  0.48872    
## Household_2_CA_1.l6   0.1538069  0.0920443   1.671  0.09490 .  
## Foods_1_CA_1.l6      -0.0255345  0.0634348  -0.403  0.68734    
## Foods_2_CA_1.l6       0.0404879  0.0380580   1.064  0.28754    
## Foods_3_CA_1.l6      -0.0149796  0.0124794  -1.200  0.23017    
## Hobbies_CA_1.l7      -0.0082236  0.0234154  -0.351  0.72548    
## Household_1_CA_1.l7   0.0838954  0.0542590   1.546  0.12223    
## Household_2_CA_1.l7  -0.0065568  0.0925105  -0.071  0.94350    
## Foods_1_CA_1.l7      -0.1417501  0.0633713  -2.237  0.02542 *  
## Foods_2_CA_1.l7       0.1098689  0.0380516   2.887  0.00393 ** 
## Foods_3_CA_1.l7       0.0305465  0.0125262   2.439  0.01484 *  
## Hobbies_CA_1.l8       0.0013157  0.0234204   0.056  0.95521    
## Household_1_CA_1.l8  -0.0599844  0.0539308  -1.112  0.26618    
## Household_2_CA_1.l8  -0.0097919  0.0929318  -0.105  0.91610    
## Foods_1_CA_1.l8       0.0211200  0.0633950   0.333  0.73906    
## Foods_2_CA_1.l8      -0.0346112  0.0381812  -0.906  0.36480    
## Foods_3_CA_1.l8       0.0109357  0.0126144   0.867  0.38610    
## Hobbies_CA_1.l9       0.0266138  0.0234651   1.134  0.25687    
## Household_1_CA_1.l9   0.0139838  0.0539345   0.259  0.79545    
## Household_2_CA_1.l9  -0.0354091  0.0927571  -0.382  0.70270    
## Foods_1_CA_1.l9      -0.0495291  0.0634020  -0.781  0.43479    
## Foods_2_CA_1.l9       0.0346534  0.0381485   0.908  0.36380    
## Foods_3_CA_1.l9      -0.0234004  0.0125756  -1.861  0.06294 .  
## Hobbies_CA_1.l10      0.0244116  0.0233990   1.043  0.29696    
## Household_1_CA_1.l10  0.0406265  0.0538624   0.754  0.45079    
## Household_2_CA_1.l10 -0.0057230  0.0927017  -0.062  0.95078    
## Foods_1_CA_1.l10     -0.0105722  0.0634785  -0.167  0.86775    
## Foods_2_CA_1.l10     -0.0361911  0.0381906  -0.948  0.34344    
## Foods_3_CA_1.l10     -0.0014507  0.0126252  -0.115  0.90853    
## Hobbies_CA_1.l11     -0.0034830  0.0233964  -0.149  0.88167    
## Household_1_CA_1.l11 -0.0960372  0.0537150  -1.788  0.07396 .  
## Household_2_CA_1.l11  0.0921956  0.0927760   0.994  0.32048    
## Foods_1_CA_1.l11      0.0309555  0.0635694   0.487  0.62635    
## Foods_2_CA_1.l11     -0.0013537  0.0382270  -0.035  0.97176    
## Foods_3_CA_1.l11      0.0044013  0.0126244   0.349  0.72741    
## Hobbies_CA_1.l12      0.0029043  0.0234063   0.124  0.90127    
## Household_1_CA_1.l12 -0.0346930  0.0538200  -0.645  0.51926    
## Household_2_CA_1.l12  0.0318572  0.0926278   0.344  0.73094    
## Foods_1_CA_1.l12     -0.0212322  0.0635999  -0.334  0.73854    
## Foods_2_CA_1.l12     -0.0769723  0.0382584  -2.012  0.04438 *  
## Foods_3_CA_1.l12      0.0060154  0.0126182   0.477  0.63362    
## Hobbies_CA_1.l13     -0.0464710  0.0233586  -1.989  0.04680 *  
## Household_1_CA_1.l13 -0.0163804  0.0537642  -0.305  0.76065    
## Household_2_CA_1.l13  0.0298580  0.0923549   0.323  0.74651    
## Foods_1_CA_1.l13     -0.0039143  0.0637260  -0.061  0.95103    
## Foods_2_CA_1.l13     -0.0054547  0.0383255  -0.142  0.88684    
## Foods_3_CA_1.l13      0.0204648  0.0126378   1.619  0.10555    
## Hobbies_CA_1.l14      0.0378871  0.0233244   1.624  0.10448    
## Household_1_CA_1.l14  0.0622208  0.0539130   1.154  0.24862    
## Household_2_CA_1.l14 -0.0346944  0.0922739  -0.376  0.70697    
## Foods_1_CA_1.l14      0.0288422  0.0637895   0.452  0.65122    
## Foods_2_CA_1.l14      0.1196707  0.0383877   3.117  0.00185 ** 
## Foods_3_CA_1.l14     -0.0128379  0.0125889  -1.020  0.30797    
## Hobbies_CA_1.l15     -0.0351541  0.0233520  -1.505  0.13240    
## Household_1_CA_1.l15 -0.0576112  0.0542419  -1.062  0.28833    
## Household_2_CA_1.l15 -0.0542222  0.0919645  -0.590  0.55553    
## Foods_1_CA_1.l15      0.0727877  0.0637933   1.141  0.25403    
## Foods_2_CA_1.l15      0.0064312  0.0382791   0.168  0.86659    
## Foods_3_CA_1.l15     -0.0105547  0.0125445  -0.841  0.40025    
## Hobbies_CA_1.l16     -0.0161796  0.0233862  -0.692  0.48913    
## Household_1_CA_1.l16  0.0121262  0.0543193   0.223  0.82338    
## Household_2_CA_1.l16 -0.0348335  0.0917836  -0.380  0.70435    
## Foods_1_CA_1.l16     -0.0984840  0.0637999  -1.544  0.12285    
## Foods_2_CA_1.l16     -0.0343382  0.0383006  -0.897  0.37008    
## Foods_3_CA_1.l16      0.0164656  0.0125308   1.314  0.18901    
## Hobbies_CA_1.l17     -0.0106522  0.0233495  -0.456  0.64830    
## Household_1_CA_1.l17  0.0756088  0.0543499   1.391  0.16435    
## Household_2_CA_1.l17  0.0390109  0.0917721   0.425  0.67083    
## Foods_1_CA_1.l17     -0.0104505  0.0638531  -0.164  0.87001    
## Foods_2_CA_1.l17      0.0186211  0.0383136   0.486  0.62701    
## Foods_3_CA_1.l17     -0.0121035  0.0125330  -0.966  0.33431    
## Hobbies_CA_1.l18      0.0367975  0.0233232   1.578  0.11481    
## Household_1_CA_1.l18 -0.0147543  0.0544865  -0.271  0.78659    
## Household_2_CA_1.l18  0.0543950  0.0916669   0.593  0.55299    
## Foods_1_CA_1.l18     -0.0007943  0.0638713  -0.012  0.99008    
## Foods_2_CA_1.l18      0.0050276  0.0383183   0.131  0.89563    
## Foods_3_CA_1.l18     -0.0108620  0.0125288  -0.867  0.38608    
## Hobbies_CA_1.l19      0.0284247  0.0233509   1.217  0.22366    
## Household_1_CA_1.l19  0.1195978  0.0544756   2.195  0.02826 *  
## Household_2_CA_1.l19  0.0295388  0.0918283   0.322  0.74774    
## Foods_1_CA_1.l19     -0.1264572  0.0637938  -1.982  0.04760 *  
## Foods_2_CA_1.l19     -0.0109755  0.0383460  -0.286  0.77474    
## Foods_3_CA_1.l19      0.0028396  0.0125579   0.226  0.82114    
## Hobbies_CA_1.l20      0.0179391  0.0233719   0.768  0.44286    
## Household_1_CA_1.l20  0.0152476  0.0545460   0.280  0.77987    
## Household_2_CA_1.l20 -0.2296813  0.0917915  -2.502  0.01243 *  
## Foods_1_CA_1.l20      0.0077522  0.0636415   0.122  0.90306    
## Foods_2_CA_1.l20     -0.0354839  0.0383740  -0.925  0.35526    
## Foods_3_CA_1.l20      0.0183647  0.0125602   1.462  0.14388    
## Hobbies_CA_1.l21     -0.0267452  0.0233256  -1.147  0.25170    
## Household_1_CA_1.l21  0.0108444  0.0545270   0.199  0.84238    
## Household_2_CA_1.l21 -0.0874208  0.0919862  -0.950  0.34205    
## Foods_1_CA_1.l21     -0.0474353  0.0636669  -0.745  0.45634    
## Foods_2_CA_1.l21      0.0284529  0.0383898   0.741  0.45870    
## Foods_3_CA_1.l21      0.0310234  0.0125406   2.474  0.01346 *  
## Hobbies_CA_1.l22     -0.0354296  0.0232584  -1.523  0.12786    
## Household_1_CA_1.l22 -0.1510833  0.0549645  -2.749  0.00604 ** 
## Household_2_CA_1.l22  0.1998443  0.0915333   2.183  0.02914 *  
## Foods_1_CA_1.l22      0.0797834  0.0637006   1.252  0.21056    
## Foods_2_CA_1.l22      0.0719555  0.0382773   1.880  0.06029 .  
## Foods_3_CA_1.l22     -0.0188012  0.0124719  -1.507  0.13186    
## Hobbies_CA_1.l23      0.0070948  0.0232362   0.305  0.76015    
## Household_1_CA_1.l23  0.0017872  0.0548875   0.033  0.97403    
## Household_2_CA_1.l23 -0.1323095  0.0911178  -1.452  0.14666    
## Foods_1_CA_1.l23      0.0220318  0.0638047   0.345  0.72991    
## Foods_2_CA_1.l23     -0.0605698  0.0382043  -1.585  0.11305    
## Foods_3_CA_1.l23      0.0125311  0.0124349   1.008  0.31372    
## Hobbies_CA_1.l24     -0.0453157  0.0232405  -1.950  0.05135 .  
## Household_1_CA_1.l24 -0.0660447  0.0545328  -1.211  0.22602    
## Household_2_CA_1.l24  0.0037585  0.0910273   0.041  0.96707    
## Foods_1_CA_1.l24      0.0268709  0.0639578   0.420  0.67444    
## Foods_2_CA_1.l24     -0.0032300  0.0381490  -0.085  0.93254    
## Foods_3_CA_1.l24      0.0035344  0.0124459   0.284  0.77646    
## Hobbies_CA_1.l25      0.0310487  0.0232634   1.335  0.18216    
## Household_1_CA_1.l25 -0.0340479  0.0545047  -0.625  0.53226    
## Household_2_CA_1.l25  0.0296984  0.0907425   0.327  0.74349    
## Foods_1_CA_1.l25      0.0031375  0.0638994   0.049  0.96084    
## Foods_2_CA_1.l25     -0.0015809  0.0380966  -0.041  0.96690    
## Foods_3_CA_1.l25     -0.0120570  0.0124609  -0.968  0.33338    
## Hobbies_CA_1.l26     -0.0191073  0.0232615  -0.821  0.41152    
## Household_1_CA_1.l26  0.0480229  0.0546038   0.879  0.37926    
## Household_2_CA_1.l26 -0.1133873  0.0906059  -1.251  0.21094    
## Foods_1_CA_1.l26      0.0539727  0.0634436   0.851  0.39504    
## Foods_2_CA_1.l26     -0.0180117  0.0380935  -0.473  0.63639    
## Foods_3_CA_1.l26      0.0044304  0.0124593   0.356  0.72219    
## Hobbies_CA_1.l27      0.0381378  0.0231115   1.650  0.09909 .  
## Household_1_CA_1.l27 -0.0359887  0.0543856  -0.662  0.50823    
## Household_2_CA_1.l27  0.0847774  0.0903468   0.938  0.34819    
## Foods_1_CA_1.l27      0.0200599  0.0630394   0.318  0.75036    
## Foods_2_CA_1.l27     -0.0536532  0.0377576  -1.421  0.15550    
## Foods_3_CA_1.l27      0.0129499  0.0123608   1.048  0.29494    
## Hobbies_CA_1.l28     -0.0113188  0.0227026  -0.499  0.61815    
## Household_1_CA_1.l28  0.0675316  0.0527582   1.280  0.20070    
## Household_2_CA_1.l28  0.1586040  0.0893166   1.776  0.07595 .  
## Foods_1_CA_1.l28      0.0091734  0.0601206   0.153  0.87874    
## Foods_2_CA_1.l28      0.0531252  0.0355164   1.496  0.13489    
## Foods_3_CA_1.l28      0.0030563  0.0116585   0.262  0.79323    
## const                16.4098162 19.0937137   0.859  0.39022    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 54.69 on 1772 degrees of freedom
## Multiple R-Squared: 0.7356,  Adjusted R-squared: 0.7105 
## F-statistic: 29.34 on 168 and 1772 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Foods_3_CA_1: 
## ============================================= 
## Foods_3_CA_1 = Hobbies_CA_1.l1 + Household_1_CA_1.l1 + Household_2_CA_1.l1 + Foods_1_CA_1.l1 + Foods_2_CA_1.l1 + Foods_3_CA_1.l1 + Hobbies_CA_1.l2 + Household_1_CA_1.l2 + Household_2_CA_1.l2 + Foods_1_CA_1.l2 + Foods_2_CA_1.l2 + Foods_3_CA_1.l2 + Hobbies_CA_1.l3 + Household_1_CA_1.l3 + Household_2_CA_1.l3 + Foods_1_CA_1.l3 + Foods_2_CA_1.l3 + Foods_3_CA_1.l3 + Hobbies_CA_1.l4 + Household_1_CA_1.l4 + Household_2_CA_1.l4 + Foods_1_CA_1.l4 + Foods_2_CA_1.l4 + Foods_3_CA_1.l4 + Hobbies_CA_1.l5 + Household_1_CA_1.l5 + Household_2_CA_1.l5 + Foods_1_CA_1.l5 + Foods_2_CA_1.l5 + Foods_3_CA_1.l5 + Hobbies_CA_1.l6 + Household_1_CA_1.l6 + Household_2_CA_1.l6 + Foods_1_CA_1.l6 + Foods_2_CA_1.l6 + Foods_3_CA_1.l6 + Hobbies_CA_1.l7 + Household_1_CA_1.l7 + Household_2_CA_1.l7 + Foods_1_CA_1.l7 + Foods_2_CA_1.l7 + Foods_3_CA_1.l7 + Hobbies_CA_1.l8 + Household_1_CA_1.l8 + Household_2_CA_1.l8 + Foods_1_CA_1.l8 + Foods_2_CA_1.l8 + Foods_3_CA_1.l8 + Hobbies_CA_1.l9 + Household_1_CA_1.l9 + Household_2_CA_1.l9 + Foods_1_CA_1.l9 + Foods_2_CA_1.l9 + Foods_3_CA_1.l9 + Hobbies_CA_1.l10 + Household_1_CA_1.l10 + Household_2_CA_1.l10 + Foods_1_CA_1.l10 + Foods_2_CA_1.l10 + Foods_3_CA_1.l10 + Hobbies_CA_1.l11 + Household_1_CA_1.l11 + Household_2_CA_1.l11 + Foods_1_CA_1.l11 + Foods_2_CA_1.l11 + Foods_3_CA_1.l11 + Hobbies_CA_1.l12 + Household_1_CA_1.l12 + Household_2_CA_1.l12 + Foods_1_CA_1.l12 + Foods_2_CA_1.l12 + Foods_3_CA_1.l12 + Hobbies_CA_1.l13 + Household_1_CA_1.l13 + Household_2_CA_1.l13 + Foods_1_CA_1.l13 + Foods_2_CA_1.l13 + Foods_3_CA_1.l13 + Hobbies_CA_1.l14 + Household_1_CA_1.l14 + Household_2_CA_1.l14 + Foods_1_CA_1.l14 + Foods_2_CA_1.l14 + Foods_3_CA_1.l14 + Hobbies_CA_1.l15 + Household_1_CA_1.l15 + Household_2_CA_1.l15 + Foods_1_CA_1.l15 + Foods_2_CA_1.l15 + Foods_3_CA_1.l15 + Hobbies_CA_1.l16 + Household_1_CA_1.l16 + Household_2_CA_1.l16 + Foods_1_CA_1.l16 + Foods_2_CA_1.l16 + Foods_3_CA_1.l16 + Hobbies_CA_1.l17 + Household_1_CA_1.l17 + Household_2_CA_1.l17 + Foods_1_CA_1.l17 + Foods_2_CA_1.l17 + Foods_3_CA_1.l17 + Hobbies_CA_1.l18 + Household_1_CA_1.l18 + Household_2_CA_1.l18 + Foods_1_CA_1.l18 + Foods_2_CA_1.l18 + Foods_3_CA_1.l18 + Hobbies_CA_1.l19 + Household_1_CA_1.l19 + Household_2_CA_1.l19 + Foods_1_CA_1.l19 + Foods_2_CA_1.l19 + Foods_3_CA_1.l19 + Hobbies_CA_1.l20 + Household_1_CA_1.l20 + Household_2_CA_1.l20 + Foods_1_CA_1.l20 + Foods_2_CA_1.l20 + Foods_3_CA_1.l20 + Hobbies_CA_1.l21 + Household_1_CA_1.l21 + Household_2_CA_1.l21 + Foods_1_CA_1.l21 + Foods_2_CA_1.l21 + Foods_3_CA_1.l21 + Hobbies_CA_1.l22 + Household_1_CA_1.l22 + Household_2_CA_1.l22 + Foods_1_CA_1.l22 + Foods_2_CA_1.l22 + Foods_3_CA_1.l22 + Hobbies_CA_1.l23 + Household_1_CA_1.l23 + Household_2_CA_1.l23 + Foods_1_CA_1.l23 + Foods_2_CA_1.l23 + Foods_3_CA_1.l23 + Hobbies_CA_1.l24 + Household_1_CA_1.l24 + Household_2_CA_1.l24 + Foods_1_CA_1.l24 + Foods_2_CA_1.l24 + Foods_3_CA_1.l24 + Hobbies_CA_1.l25 + Household_1_CA_1.l25 + Household_2_CA_1.l25 + Foods_1_CA_1.l25 + Foods_2_CA_1.l25 + Foods_3_CA_1.l25 + Hobbies_CA_1.l26 + Household_1_CA_1.l26 + Household_2_CA_1.l26 + Foods_1_CA_1.l26 + Foods_2_CA_1.l26 + Foods_3_CA_1.l26 + Hobbies_CA_1.l27 + Household_1_CA_1.l27 + Household_2_CA_1.l27 + Foods_1_CA_1.l27 + Foods_2_CA_1.l27 + Foods_3_CA_1.l27 + Hobbies_CA_1.l28 + Household_1_CA_1.l28 + Household_2_CA_1.l28 + Foods_1_CA_1.l28 + Foods_2_CA_1.l28 + Foods_3_CA_1.l28 + const 
## 
##                        Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_1.l1        0.080122   0.081564   0.982 0.326074    
## Household_1_CA_1.l1   -0.033016   0.187626  -0.176 0.860340    
## Household_2_CA_1.l1    0.875074   0.319919   2.735 0.006294 ** 
## Foods_1_CA_1.l1        0.476870   0.211518   2.255 0.024285 *  
## Foods_2_CA_1.l1        0.218090   0.124168   1.756 0.079191 .  
## Foods_3_CA_1.l1        0.260146   0.041149   6.322 3.26e-10 ***
## Hobbies_CA_1.l2       -0.051991   0.082576  -0.630 0.529032    
## Household_1_CA_1.l2    0.153289   0.190595   0.804 0.421354    
## Household_2_CA_1.l2   -0.843700   0.322811  -2.614 0.009035 ** 
## Foods_1_CA_1.l2       -0.055950   0.221835  -0.252 0.800904    
## Foods_2_CA_1.l2        0.051985   0.132629   0.392 0.695140    
## Foods_3_CA_1.l2        0.026334   0.043446   0.606 0.544510    
## Hobbies_CA_1.l3       -0.095248   0.082854  -1.150 0.250469    
## Household_1_CA_1.l3    0.029680   0.190886   0.155 0.876454    
## Household_2_CA_1.l3    0.798912   0.324023   2.466 0.013773 *  
## Foods_1_CA_1.l3        0.097274   0.223002   0.436 0.662744    
## Foods_2_CA_1.l3        0.112844   0.133651   0.844 0.398606    
## Foods_3_CA_1.l3       -0.004769   0.043904  -0.109 0.913522    
## Hobbies_CA_1.l4        0.007998   0.082819   0.097 0.923077    
## Household_1_CA_1.l4   -0.331237   0.190640  -1.738 0.082472 .  
## Household_2_CA_1.l4   -0.496773   0.323535  -1.535 0.124851    
## Foods_1_CA_1.l4       -0.111401   0.223797  -0.498 0.618704    
## Foods_2_CA_1.l4       -0.147318   0.133682  -1.102 0.270610    
## Foods_3_CA_1.l4        0.131696   0.043861   3.003 0.002714 ** 
## Hobbies_CA_1.l5        0.026697   0.082631   0.323 0.746666    
## Household_1_CA_1.l5    0.038726   0.190628   0.203 0.839040    
## Household_2_CA_1.l5   -0.310535   0.325038  -0.955 0.339516    
## Foods_1_CA_1.l5        0.179514   0.224346   0.800 0.423723    
## Foods_2_CA_1.l5        0.336178   0.134127   2.506 0.012286 *  
## Foods_3_CA_1.l5       -0.088920   0.043909  -2.025 0.043005 *  
## Hobbies_CA_1.l6       -0.147346   0.082647  -1.783 0.074782 .  
## Household_1_CA_1.l6   -0.121294   0.190839  -0.636 0.525131    
## Household_2_CA_1.l6    0.417240   0.325275   1.283 0.199755    
## Foods_1_CA_1.l6        0.069805   0.224172   0.311 0.755541    
## Foods_2_CA_1.l6       -0.157981   0.134493  -1.175 0.240296    
## Foods_3_CA_1.l6        0.064082   0.044101   1.453 0.146380    
## Hobbies_CA_1.l7       -0.036041   0.082747  -0.436 0.663217    
## Household_1_CA_1.l7    0.406517   0.191746   2.120 0.034138 *  
## Household_2_CA_1.l7    0.127913   0.326923   0.391 0.695649    
## Foods_1_CA_1.l7       -0.562763   0.223948  -2.513 0.012062 *  
## Foods_2_CA_1.l7        0.047659   0.134470   0.354 0.723068    
## Foods_3_CA_1.l7        0.205923   0.044266   4.652 3.53e-06 ***
## Hobbies_CA_1.l8        0.092342   0.082765   1.116 0.264696    
## Household_1_CA_1.l8   -0.149961   0.190586  -0.787 0.431480    
## Household_2_CA_1.l8   -0.227158   0.328412  -0.692 0.489225    
## Foods_1_CA_1.l8        0.052013   0.224031   0.232 0.816433    
## Foods_2_CA_1.l8       -0.042666   0.134928  -0.316 0.751880    
## Foods_3_CA_1.l8        0.023195   0.044578   0.520 0.602906    
## Hobbies_CA_1.l9        0.114990   0.082923   1.387 0.165706    
## Household_1_CA_1.l9    0.033450   0.190599   0.175 0.860709    
## Household_2_CA_1.l9   -0.019179   0.327794  -0.059 0.953350    
## Foods_1_CA_1.l9       -0.340798   0.224056  -1.521 0.128429    
## Foods_2_CA_1.l9        0.222365   0.134813   1.649 0.099236 .  
## Foods_3_CA_1.l9       -0.120792   0.044441  -2.718 0.006631 ** 
## Hobbies_CA_1.l10       0.125474   0.082690   1.517 0.129341    
## Household_1_CA_1.l10   0.108154   0.190344   0.568 0.569971    
## Household_2_CA_1.l10   0.174790   0.327598   0.534 0.593719    
## Foods_1_CA_1.l10      -0.195027   0.224327  -0.869 0.384752    
## Foods_2_CA_1.l10      -0.231431   0.134962  -1.715 0.086558 .  
## Foods_3_CA_1.l10       0.027868   0.044616   0.625 0.532306    
## Hobbies_CA_1.l11      -0.029762   0.082681  -0.360 0.718919    
## Household_1_CA_1.l11  -0.236987   0.189823  -1.248 0.212027    
## Household_2_CA_1.l11   0.052034   0.327861   0.159 0.873916    
## Foods_1_CA_1.l11       0.152804   0.224648   0.680 0.496470    
## Foods_2_CA_1.l11       0.077574   0.135090   0.574 0.565879    
## Foods_3_CA_1.l11      -0.045745   0.044613  -1.025 0.305334    
## Hobbies_CA_1.l12      -0.060164   0.082715  -0.727 0.467104    
## Household_1_CA_1.l12  -0.281218   0.190194  -1.479 0.139430    
## Household_2_CA_1.l12  -0.053019   0.327337  -0.162 0.871346    
## Foods_1_CA_1.l12       0.067744   0.224756   0.301 0.763135    
## Foods_2_CA_1.l12      -0.125088   0.135201  -0.925 0.354988    
## Foods_3_CA_1.l12       0.066936   0.044591   1.501 0.133510    
## Hobbies_CA_1.l13      -0.106308   0.082547  -1.288 0.197967    
## Household_1_CA_1.l13   0.200777   0.189997   1.057 0.290777    
## Household_2_CA_1.l13  -0.046668   0.326373  -0.143 0.886314    
## Foods_1_CA_1.l13      -0.022830   0.225201  -0.101 0.919263    
## Foods_2_CA_1.l13      -0.275601   0.135438  -2.035 0.042011 *  
## Foods_3_CA_1.l13       0.101557   0.044661   2.274 0.023086 *  
## Hobbies_CA_1.l14       0.016194   0.082426   0.196 0.844268    
## Household_1_CA_1.l14   0.687727   0.190523   3.610 0.000315 ***
## Household_2_CA_1.l14  -0.057244   0.326086  -0.176 0.860668    
## Foods_1_CA_1.l14      -0.231382   0.225425  -1.026 0.304832    
## Foods_2_CA_1.l14       0.219743   0.135658   1.620 0.105447    
## Foods_3_CA_1.l14       0.076453   0.044488   1.719 0.085880 .  
## Hobbies_CA_1.l15       0.019558   0.082524   0.237 0.812684    
## Household_1_CA_1.l15  -0.408570   0.191685  -2.131 0.033188 *  
## Household_2_CA_1.l15  -0.226717   0.324993  -0.698 0.485515    
## Foods_1_CA_1.l15      -0.104847   0.225439  -0.465 0.641933    
## Foods_2_CA_1.l15      -0.128366   0.135274  -0.949 0.342787    
## Foods_3_CA_1.l15      -0.023357   0.044331  -0.527 0.598346    
## Hobbies_CA_1.l16      -0.038530   0.082645  -0.466 0.641121    
## Household_1_CA_1.l16  -0.116794   0.191959  -0.608 0.542980    
## Household_2_CA_1.l16   0.230654   0.324354   0.711 0.477105    
## Foods_1_CA_1.l16      -0.346580   0.225462  -1.537 0.124424    
## Foods_2_CA_1.l16      -0.032458   0.135351  -0.240 0.810509    
## Foods_3_CA_1.l16       0.026867   0.044282   0.607 0.544121    
## Hobbies_CA_1.l17      -0.082401   0.082515  -0.999 0.318115    
## Household_1_CA_1.l17   0.447294   0.192067   2.329 0.019979 *  
## Household_2_CA_1.l17   0.181222   0.324313   0.559 0.576378    
## Foods_1_CA_1.l17       0.045329   0.225650   0.201 0.840815    
## Foods_2_CA_1.l17       0.263359   0.135396   1.945 0.051921 .  
## Foods_3_CA_1.l17      -0.093109   0.044290  -2.102 0.035674 *  
## Hobbies_CA_1.l18       0.134758   0.082422   1.635 0.102231    
## Household_1_CA_1.l18  -0.096409   0.192550  -0.501 0.616646    
## Household_2_CA_1.l18   0.506759   0.323942   1.564 0.117913    
## Foods_1_CA_1.l18       0.040011   0.225715   0.177 0.859320    
## Foods_2_CA_1.l18      -0.076202   0.135413  -0.563 0.573686    
## Foods_3_CA_1.l18      -0.020296   0.044275  -0.458 0.646712    
## Hobbies_CA_1.l19       0.076360   0.082520   0.925 0.354911    
## Household_1_CA_1.l19   0.329794   0.192511   1.713 0.086866 .  
## Household_2_CA_1.l19   0.258581   0.324512   0.797 0.425656    
## Foods_1_CA_1.l19      -0.181737   0.225441  -0.806 0.420270    
## Foods_2_CA_1.l19       0.056346   0.135511   0.416 0.677606    
## Foods_3_CA_1.l19      -0.042181   0.044378  -0.950 0.341997    
## Hobbies_CA_1.l20       0.103851   0.082594   1.257 0.208785    
## Household_1_CA_1.l20  -0.036576   0.192760  -0.190 0.849529    
## Household_2_CA_1.l20  -0.727439   0.324382  -2.243 0.025050 *  
## Foods_1_CA_1.l20      -0.360684   0.224903  -1.604 0.108951    
## Foods_2_CA_1.l20      -0.260137   0.135610  -1.918 0.055237 .  
## Foods_3_CA_1.l20       0.092545   0.044386   2.085 0.037213 *  
## Hobbies_CA_1.l21      -0.125085   0.082430  -1.517 0.129326    
## Household_1_CA_1.l21   0.146041   0.192693   0.758 0.448613    
## Household_2_CA_1.l21   0.314142   0.325070   0.966 0.333984    
## Foods_1_CA_1.l21      -0.147111   0.224992  -0.654 0.513294    
## Foods_2_CA_1.l21       0.020312   0.135666   0.150 0.881001    
## Foods_3_CA_1.l21       0.111576   0.044317   2.518 0.011901 *  
## Hobbies_CA_1.l22      -0.011601   0.082193  -0.141 0.887774    
## Household_1_CA_1.l22  -0.439798   0.194239  -2.264 0.023682 *  
## Household_2_CA_1.l22   0.518319   0.323469   1.602 0.109251    
## Foods_1_CA_1.l22       0.083505   0.225111   0.371 0.710720    
## Foods_2_CA_1.l22       0.205363   0.135268   1.518 0.129144    
## Foods_3_CA_1.l22      -0.070302   0.044074  -1.595 0.110874    
## Hobbies_CA_1.l23      -0.016841   0.082114  -0.205 0.837520    
## Household_1_CA_1.l23  -0.192880   0.193967  -0.994 0.320164    
## Household_2_CA_1.l23  -0.554585   0.322001  -1.722 0.085188 .  
## Foods_1_CA_1.l23       0.206971   0.225479   0.918 0.358789    
## Foods_2_CA_1.l23      -0.231003   0.135010  -1.711 0.087255 .  
## Foods_3_CA_1.l23       0.082435   0.043944   1.876 0.060830 .  
## Hobbies_CA_1.l24      -0.201718   0.082130  -2.456 0.014141 *  
## Household_1_CA_1.l24  -0.215766   0.192713  -1.120 0.263026    
## Household_2_CA_1.l24  -0.425247   0.321681  -1.322 0.186355    
## Foods_1_CA_1.l24      -0.026263   0.226020  -0.116 0.907509    
## Foods_2_CA_1.l24      -0.121666   0.134815  -0.902 0.366930    
## Foods_3_CA_1.l24       0.054188   0.043983   1.232 0.218105    
## Hobbies_CA_1.l25       0.160142   0.082210   1.948 0.051578 .  
## Household_1_CA_1.l25   0.061396   0.192614   0.319 0.749954    
## Household_2_CA_1.l25   0.102109   0.320675   0.318 0.750204    
## Foods_1_CA_1.l25      -0.050323   0.225814  -0.223 0.823676    
## Foods_2_CA_1.l25      -0.123288   0.134629  -0.916 0.359917    
## Foods_3_CA_1.l25      -0.028982   0.044036  -0.658 0.510532    
## Hobbies_CA_1.l26      -0.096416   0.082204  -1.173 0.240999    
## Household_1_CA_1.l26  -0.097011   0.192964  -0.503 0.615209    
## Household_2_CA_1.l26  -0.119486   0.320192  -0.373 0.709068    
## Foods_1_CA_1.l26       0.321666   0.224203   1.435 0.151548    
## Foods_2_CA_1.l26       0.081740   0.134619   0.607 0.543797    
## Foods_3_CA_1.l26       0.006676   0.044030   0.152 0.879494    
## Hobbies_CA_1.l27       0.134175   0.081674   1.643 0.100598    
## Household_1_CA_1.l27  -0.116441   0.192193  -0.606 0.544689    
## Household_2_CA_1.l27   0.266601   0.319277   0.835 0.403822    
## Foods_1_CA_1.l27       0.284591   0.222775   1.277 0.201600    
## Foods_2_CA_1.l27      -0.062448   0.133431  -0.468 0.639830    
## Foods_3_CA_1.l27       0.010225   0.043682   0.234 0.814950    
## Hobbies_CA_1.l28      -0.116930   0.080229  -1.457 0.145166    
## Household_1_CA_1.l28   0.190593   0.186442   1.022 0.306794    
## Household_2_CA_1.l28   0.213019   0.315636   0.675 0.499836    
## Foods_1_CA_1.l28       0.369319   0.212460   1.738 0.082332 .  
## Foods_2_CA_1.l28       0.161004   0.125511   1.283 0.199736    
## Foods_3_CA_1.l28       0.093098   0.041200   2.260 0.023962 *  
## const                100.854058  67.475236   1.495 0.135175    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 193.3 on 1772 degrees of freedom
## Multiple R-Squared: 0.8255,  Adjusted R-squared: 0.809 
## F-statistic:  49.9 on 168 and 1772 DF,  p-value: < 2.2e-16 
## 
## 
## 
## Covariance matrix of residuals:
##                  Hobbies_CA_1 Household_1_CA_1 Household_2_CA_1 Foods_1_CA_1
## Hobbies_CA_1           3663.4            555.2            272.7        376.8
## Household_1_CA_1        555.2            879.6            195.2        282.0
## Household_2_CA_1        272.7            195.2            273.5        123.3
## Foods_1_CA_1            376.8            282.0            123.3        611.8
## Foods_2_CA_1            552.2            504.6            231.9        326.5
## Foods_3_CA_1           3579.7           2879.6           1383.5       2010.6
##                  Foods_2_CA_1 Foods_3_CA_1
## Hobbies_CA_1            552.2         3580
## Household_1_CA_1        504.6         2880
## Household_2_CA_1        231.9         1384
## Foods_1_CA_1            326.5         2011
## Foods_2_CA_1           2990.9         7722
## Foods_3_CA_1           7722.2        37352
## 
## Correlation matrix of residuals:
##                  Hobbies_CA_1 Household_1_CA_1 Household_2_CA_1 Foods_1_CA_1
## Hobbies_CA_1           1.0000           0.3093           0.2725       0.2517
## Household_1_CA_1       0.3093           1.0000           0.3981       0.3844
## Household_2_CA_1       0.2725           0.3981           1.0000       0.3015
## Foods_1_CA_1           0.2517           0.3844           0.3015       1.0000
## Foods_2_CA_1           0.1668           0.3111           0.2564       0.2414
## Foods_3_CA_1           0.3060           0.5024           0.4329       0.4206
##                  Foods_2_CA_1 Foods_3_CA_1
## Hobbies_CA_1           0.1668       0.3060
## Household_1_CA_1       0.3111       0.5024
## Household_2_CA_1       0.2564       0.4329
## Foods_1_CA_1           0.2414       0.4206
## Foods_2_CA_1           1.0000       0.7306
## Foods_3_CA_1           0.7306       1.0000
Serial1 <- serial.test(Model1, lags.pt = 5, type = "PT.asymptotic")
## Warning in pchisq(STATISTIC, df = PARAMETER): NaNs produced

## Warning in pchisq(STATISTIC, df = PARAMETER): NaNs produced
Serial1
## 
##  Portmanteau Test (asymptotic)
## 
## data:  Residuals of VAR object Model1
## Chi-squared = 9.3219, df = -828, p-value = NA
Arch1 <- arch.test(Model1, lags.multi = 15, multivariate.only = TRUE)
Arch1
## 
##  ARCH (multivariate)
## 
## data:  Residuals of VAR object Model1
## Chi-squared = 7390.2, df = 6615, p-value = 4.057e-11
Norm1 <- normality.test(Model1, multivariate.only = TRUE)
Norm1
## $JB
## 
##  JB-Test (multivariate)
## 
## data:  Residuals of VAR object Model1
## Chi-squared = 2839.6, df = 12, p-value < 2.2e-16
## 
## 
## $Skewness
## 
##  Skewness only (multivariate)
## 
## data:  Residuals of VAR object Model1
## Chi-squared = 214.61, df = 6, p-value < 2.2e-16
## 
## 
## $Kurtosis
## 
##  Kurtosis only (multivariate)
## 
## data:  Residuals of VAR object Model1
## Chi-squared = 2625, df = 6, p-value < 2.2e-16
Stability1 <- stability(Model1, type = "OLS-CUSUM")
plot(Stability1)

After confirming that our model has passed the above tests, we proceed to forecast using VAR. We will set the forecast horizon to 28 days ahead or a four-week forecast. Then we combine the forecast results to get our forecast for the store CA_1.

forecast <- predict(Model1, n.ahead = 28, ci = 0.95)
fanchart(forecast, names = "Hobbies_CA_1", main = "Fanchart for Hobbies_CA_1", xlab = "Horizon", ylab = "Hobbies_CA_1")

fanchart(forecast, names = "Household_1_CA_1", main = "Fanchart for Household_1_CA_1", xlab = "Horizon", ylab = "Household_1_CA_1")

fanchart(forecast, names = "Household_2_CA_1", main = "Fanchart for Household_2_CA_1", xlab = "Horizon", ylab = "Household_2_CA_1")

fanchart(forecast, names = "Foods_1_CA_1", main = "Fanchart for Foods_1_CA_1", xlab = "Horizon", ylab = "Foods_1_CA_1")

fanchart(forecast, names = "Foods_2_CA_1", main = "Fanchart for Foods_2_CA_1", xlab = "Horizon", ylab = "Foods_2_CA_1")

fanchart(forecast, names = "Foods_3_CA_1", main = "Fanchart for Foods_3_CA_1", xlab = "Horizon", ylab = "Foods_3_CA_1")

result_1 = forecast$fcst$Hobbies_CA_1+forecast$fcst$Household_1_CA_1+forecast$fcst$Household_2_CA_1+forecast$fcst$Foods_1_CA_1+forecast$fcst$Foods_2_CA_1+forecast$fcst$Foods_3_CA_1
print(result_1)
##           fcst    lower    upper       CI
##  [1,] 2763.665 2020.032 3507.297 743.6324
##  [2,] 2756.605 1970.375 3542.835 786.2300
##  [3,] 2592.269 1796.017 3388.521 796.2520
##  [4,] 2675.794 1873.201 3478.388 802.5936
##  [5,] 3125.998 2317.933 3934.063 808.0650
##  [6,] 3666.949 2852.918 4480.981 814.0314
##  [7,] 3751.120 2933.166 4569.073 817.9536
##  [8,] 2947.874 2109.274 3786.473 838.5998
##  [9,] 2858.736 2009.633 3707.839 849.1027
## [10,] 2729.091 1876.155 3582.026 852.9355
## [11,] 2840.270 1984.898 3695.641 855.3714
## [12,] 3320.232 2462.781 4177.683 857.4506
## [13,] 3874.267 3014.742 4733.791 859.5245
## [14,] 4019.012 3156.705 4881.320 862.3075
## [15,] 3152.323 2269.545 4035.100 882.7775
## [16,] 2826.866 1939.925 3713.808 886.9415
## [17,] 2678.055 1788.411 3567.699 889.6441
## [18,] 2823.628 1930.775 3716.481 892.8530
## [19,] 3340.571 2445.175 4235.968 895.3966
## [20,] 3928.120 3030.293 4825.947 897.8268
## [21,] 4002.783 3102.506 4903.060 900.2771
## [22,] 3212.882 2296.421 4129.343 916.4607
## [23,] 2905.409 1982.484 3828.335 922.9255
## [24,] 2760.804 1835.301 3686.307 925.5026
## [25,] 2787.078 1858.874 3715.282 928.2037
## [26,] 3258.993 2329.048 4188.939 929.9459
## [27,] 3803.100 2871.851 4734.349 931.2492
## [28,] 3781.257 2845.434 4717.081 935.8235

Analysis for the second store CA_2

We repeat the steps above except some parameters to get forecasts for CA_2.

Hobbies_CA_2 <- ts(sales$Hobbies_CA_2, start = c(2011,1,29), frequency = 365.25)
Household_1_CA_2 <- ts(sales$Household_1_CA_2, start = c(2011,1,29), frequency = 365.25)
Household_2_CA_2 <- ts(sales$Household_2_CA_2, start = c(2011,1,29), frequency = 365.25)
Foods_1_CA_2 <- ts(sales$Foods_1_CA_2, start = c(2011,1,29), frequency = 365.25)
Foods_2_CA_2 <- ts(sales$Foods_2_CA_2, start = c(2011,1,29), frequency = 365.25)
Foods_3_CA_2 <- ts(sales$Foods_3_CA_2, start = c(2011,1,29), frequency = 365.25)
ts_plot(Hobbies_CA_2)
ts_plot(Household_1_CA_2)
ts_plot(Household_2_CA_2)
ts_plot(Foods_1_CA_2)
ts_plot(Foods_2_CA_2)
ts_plot(Foods_3_CA_2)
pp.test(Hobbies_CA_2)
## Warning in pp.test(Hobbies_CA_2): p-value smaller than printed p-value
## 
##  Phillips-Perron Unit Root Test
## 
## data:  Hobbies_CA_2
## Dickey-Fuller Z(alpha) = -1338.6, Truncation lag parameter = 8, p-value
## = 0.01
## alternative hypothesis: stationary
pp.test(Household_1_CA_2)
## Warning in pp.test(Household_1_CA_2): p-value smaller than printed p-value
## 
##  Phillips-Perron Unit Root Test
## 
## data:  Household_1_CA_2
## Dickey-Fuller Z(alpha) = -823.19, Truncation lag parameter = 8, p-value
## = 0.01
## alternative hypothesis: stationary
pp.test(Household_2_CA_2)
## Warning in pp.test(Household_2_CA_2): p-value smaller than printed p-value
## 
##  Phillips-Perron Unit Root Test
## 
## data:  Household_2_CA_2
## Dickey-Fuller Z(alpha) = -893.85, Truncation lag parameter = 8, p-value
## = 0.01
## alternative hypothesis: stationary
pp.test(Foods_1_CA_2)
## Warning in pp.test(Foods_1_CA_2): p-value smaller than printed p-value
## 
##  Phillips-Perron Unit Root Test
## 
## data:  Foods_1_CA_2
## Dickey-Fuller Z(alpha) = -331.5, Truncation lag parameter = 8, p-value
## = 0.01
## alternative hypothesis: stationary
pp.test(Foods_2_CA_2)
## Warning in pp.test(Foods_2_CA_2): p-value smaller than printed p-value
## 
##  Phillips-Perron Unit Root Test
## 
## data:  Foods_2_CA_2
## Dickey-Fuller Z(alpha) = -809.38, Truncation lag parameter = 8, p-value
## = 0.01
## alternative hypothesis: stationary
pp.test(Foods_3_CA_2)
## Warning in pp.test(Foods_3_CA_2): p-value smaller than printed p-value
## 
##  Phillips-Perron Unit Root Test
## 
## data:  Foods_3_CA_2
## Dickey-Fuller Z(alpha) = -742.38, Truncation lag parameter = 8, p-value
## = 0.01
## alternative hypothesis: stationary
v2 <- cbind(Hobbies_CA_2, Household_1_CA_2, Household_2_CA_2, Foods_1_CA_2, Foods_2_CA_2, Foods_3_CA_2)
colnames(v2) <- cbind("Hobbies_CA_2","Household_1_CA_2","Household_2_CA_2", "Foods_1_CA_2", 'Foods_2_CA_2', 'Foods_3_CA_2')
lagselect <- VARselect(v2, lag.max = 60, type = "const")
lagselect$selection
## AIC(n)  HQ(n)  SC(n) FPE(n) 
##     14      7      7     14
Model2 <- VAR(v2, p = 14, type = "const", season = NULL, exog = NULL) 
summary(Model2)
## 
## VAR Estimation Results:
## ========================= 
## Endogenous variables: Hobbies_CA_2, Household_1_CA_2, Household_2_CA_2, Foods_1_CA_2, Foods_2_CA_2, Foods_3_CA_2 
## Deterministic variables: const 
## Sample size: 1955 
## Log Likelihood: -56931.601 
## Roots of the characteristic polynomial:
## 0.9999 0.9965 0.9965 0.9921 0.9836 0.9836 0.9754 0.9754 0.9754 0.9732 0.961 0.9584 0.9196 0.9196 0.913 0.913 0.9065 0.9065 0.8971 0.8971 0.8819 0.8766 0.8766 0.8754 0.8754 0.8666 0.8666 0.8651 0.8651 0.8644 0.8644 0.8626 0.8626 0.8626 0.8626 0.8603 0.8603 0.8567 0.8567 0.852 0.852 0.8513 0.8513 0.8427 0.8427 0.8425 0.8425 0.8416 0.8416 0.8407 0.8407 0.8404 0.8404 0.8397 0.8397 0.8332 0.8332 0.8181 0.8181 0.8113 0.8113 0.8092 0.8092 0.8085 0.8085 0.8083 0.8083 0.7956 0.7956 0.793 0.793 0.7919 0.7919 0.7914 0.7914 0.7886 0.7569 0.7569 0.7299 0.7299 0.7181 0.7181 0.5566 0.5566
## Call:
## VAR(y = v2, p = 14, type = "const", exogen = NULL)
## 
## 
## Estimation results for equation Hobbies_CA_2: 
## ============================================= 
## Hobbies_CA_2 = Hobbies_CA_2.l1 + Household_1_CA_2.l1 + Household_2_CA_2.l1 + Foods_1_CA_2.l1 + Foods_2_CA_2.l1 + Foods_3_CA_2.l1 + Hobbies_CA_2.l2 + Household_1_CA_2.l2 + Household_2_CA_2.l2 + Foods_1_CA_2.l2 + Foods_2_CA_2.l2 + Foods_3_CA_2.l2 + Hobbies_CA_2.l3 + Household_1_CA_2.l3 + Household_2_CA_2.l3 + Foods_1_CA_2.l3 + Foods_2_CA_2.l3 + Foods_3_CA_2.l3 + Hobbies_CA_2.l4 + Household_1_CA_2.l4 + Household_2_CA_2.l4 + Foods_1_CA_2.l4 + Foods_2_CA_2.l4 + Foods_3_CA_2.l4 + Hobbies_CA_2.l5 + Household_1_CA_2.l5 + Household_2_CA_2.l5 + Foods_1_CA_2.l5 + Foods_2_CA_2.l5 + Foods_3_CA_2.l5 + Hobbies_CA_2.l6 + Household_1_CA_2.l6 + Household_2_CA_2.l6 + Foods_1_CA_2.l6 + Foods_2_CA_2.l6 + Foods_3_CA_2.l6 + Hobbies_CA_2.l7 + Household_1_CA_2.l7 + Household_2_CA_2.l7 + Foods_1_CA_2.l7 + Foods_2_CA_2.l7 + Foods_3_CA_2.l7 + Hobbies_CA_2.l8 + Household_1_CA_2.l8 + Household_2_CA_2.l8 + Foods_1_CA_2.l8 + Foods_2_CA_2.l8 + Foods_3_CA_2.l8 + Hobbies_CA_2.l9 + Household_1_CA_2.l9 + Household_2_CA_2.l9 + Foods_1_CA_2.l9 + Foods_2_CA_2.l9 + Foods_3_CA_2.l9 + Hobbies_CA_2.l10 + Household_1_CA_2.l10 + Household_2_CA_2.l10 + Foods_1_CA_2.l10 + Foods_2_CA_2.l10 + Foods_3_CA_2.l10 + Hobbies_CA_2.l11 + Household_1_CA_2.l11 + Household_2_CA_2.l11 + Foods_1_CA_2.l11 + Foods_2_CA_2.l11 + Foods_3_CA_2.l11 + Hobbies_CA_2.l12 + Household_1_CA_2.l12 + Household_2_CA_2.l12 + Foods_1_CA_2.l12 + Foods_2_CA_2.l12 + Foods_3_CA_2.l12 + Hobbies_CA_2.l13 + Household_1_CA_2.l13 + Household_2_CA_2.l13 + Foods_1_CA_2.l13 + Foods_2_CA_2.l13 + Foods_3_CA_2.l13 + Hobbies_CA_2.l14 + Household_1_CA_2.l14 + Household_2_CA_2.l14 + Foods_1_CA_2.l14 + Foods_2_CA_2.l14 + Foods_3_CA_2.l14 + const 
## 
##                       Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_2.l1       0.087648   0.024759   3.540 0.000410 ***
## Household_1_CA_2.l1   0.009761   0.046174   0.211 0.832603    
## Household_2_CA_2.l1   0.047023   0.059249   0.794 0.427502    
## Foods_1_CA_2.l1       0.138207   0.069935   1.976 0.048277 *  
## Foods_2_CA_2.l1       0.020233   0.050669   0.399 0.689713    
## Foods_3_CA_2.l1      -0.021191   0.013792  -1.537 0.124578    
## Hobbies_CA_2.l2       0.065650   0.024788   2.648 0.008154 ** 
## Household_1_CA_2.l2  -0.036590   0.047408  -0.772 0.440324    
## Household_2_CA_2.l2   0.052719   0.059839   0.881 0.378418    
## Foods_1_CA_2.l2      -0.069867   0.072616  -0.962 0.336098    
## Foods_2_CA_2.l2      -0.100913   0.052247  -1.931 0.053579 .  
## Foods_3_CA_2.l2      -0.012064   0.014303  -0.843 0.399099    
## Hobbies_CA_2.l3       0.065043   0.024874   2.615 0.008997 ** 
## Household_1_CA_2.l3   0.022030   0.047727   0.462 0.644428    
## Household_2_CA_2.l3  -0.029451   0.060000  -0.491 0.623587    
## Foods_1_CA_2.l3      -0.029934   0.072886  -0.411 0.681343    
## Foods_2_CA_2.l3      -0.007436   0.052552  -0.141 0.887497    
## Foods_3_CA_2.l3       0.007216   0.014400   0.501 0.616333    
## Hobbies_CA_2.l4       0.041921   0.024979   1.678 0.093460 .  
## Household_1_CA_2.l4  -0.029729   0.047847  -0.621 0.534450    
## Household_2_CA_2.l4  -0.043198   0.060287  -0.717 0.473748    
## Foods_1_CA_2.l4       0.149504   0.072852   2.052 0.040293 *  
## Foods_2_CA_2.l4      -0.054520   0.052608  -1.036 0.300167    
## Foods_3_CA_2.l4      -0.009841   0.014415  -0.683 0.494882    
## Hobbies_CA_2.l5       0.059512   0.025026   2.378 0.017504 *  
## Household_1_CA_2.l5  -0.067194   0.047854  -1.404 0.160440    
## Household_2_CA_2.l5  -0.021421   0.060493  -0.354 0.723297    
## Foods_1_CA_2.l5       0.092246   0.073439   1.256 0.209240    
## Foods_2_CA_2.l5      -0.007557   0.052550  -0.144 0.885668    
## Foods_3_CA_2.l5      -0.032331   0.014455  -2.237 0.025427 *  
## Hobbies_CA_2.l6       0.016854   0.024940   0.676 0.499266    
## Household_1_CA_2.l6   0.045500   0.047869   0.951 0.341975    
## Household_2_CA_2.l6   0.067022   0.060468   1.108 0.267838    
## Foods_1_CA_2.l6      -0.062373   0.073318  -0.851 0.395036    
## Foods_2_CA_2.l6      -0.036988   0.052482  -0.705 0.481033    
## Foods_3_CA_2.l6       0.036649   0.014487   2.530 0.011495 *  
## Hobbies_CA_2.l7       0.082600   0.024901   3.317 0.000927 ***
## Household_1_CA_2.l7   0.097290   0.047884   2.032 0.042318 *  
## Household_2_CA_2.l7   0.090412   0.060375   1.498 0.134430    
## Foods_1_CA_2.l7       0.063973   0.073793   0.867 0.386095    
## Foods_2_CA_2.l7       0.045520   0.052591   0.866 0.386852    
## Foods_3_CA_2.l7       0.002215   0.014513   0.153 0.878736    
## Hobbies_CA_2.l8       0.045041   0.024871   1.811 0.070297 .  
## Household_1_CA_2.l8  -0.055948   0.048478  -1.154 0.248608    
## Household_2_CA_2.l8   0.099225   0.060271   1.646 0.099864 .  
## Foods_1_CA_2.l8      -0.010278   0.073819  -0.139 0.889278    
## Foods_2_CA_2.l8      -0.057741   0.052534  -1.099 0.271865    
## Foods_3_CA_2.l8       0.007534   0.014517   0.519 0.603853    
## Hobbies_CA_2.l9       0.047745   0.024774   1.927 0.054101 .  
## Household_1_CA_2.l9  -0.128811   0.048578  -2.652 0.008078 ** 
## Household_2_CA_2.l9  -0.185432   0.060379  -3.071 0.002163 ** 
## Foods_1_CA_2.l9       0.068961   0.073360   0.940 0.347322    
## Foods_2_CA_2.l9       0.017855   0.052396   0.341 0.733309    
## Foods_3_CA_2.l9       0.021628   0.014530   1.488 0.136801    
## Hobbies_CA_2.l10      0.052361   0.024693   2.120 0.034101 *  
## Household_1_CA_2.l10  0.060396   0.048594   1.243 0.214078    
## Household_2_CA_2.l10 -0.006373   0.060549  -0.105 0.916189    
## Foods_1_CA_2.l10     -0.025208   0.073510  -0.343 0.731692    
## Foods_2_CA_2.l10      0.059598   0.052368   1.138 0.255237    
## Foods_3_CA_2.l10     -0.023412   0.014527  -1.612 0.107218    
## Hobbies_CA_2.l11      0.021323   0.024607   0.867 0.386300    
## Household_1_CA_2.l11  0.050128   0.048595   1.032 0.302420    
## Household_2_CA_2.l11 -0.079543   0.060465  -1.316 0.188496    
## Foods_1_CA_2.l11     -0.040754   0.073413  -0.555 0.578868    
## Foods_2_CA_2.l11     -0.040131   0.052322  -0.767 0.443174    
## Foods_3_CA_2.l11      0.018591   0.014510   1.281 0.200271    
## Hobbies_CA_2.l12      0.041954   0.024513   1.711 0.087163 .  
## Household_1_CA_2.l12  0.018639   0.048565   0.384 0.701178    
## Household_2_CA_2.l12  0.025963   0.060236   0.431 0.666497    
## Foods_1_CA_2.l12     -0.103936   0.073423  -1.416 0.157067    
## Foods_2_CA_2.l12      0.075699   0.052211   1.450 0.147266    
## Foods_3_CA_2.l12     -0.028802   0.014506  -1.985 0.047237 *  
## Hobbies_CA_2.l13      0.070566   0.024441   2.887 0.003931 ** 
## Household_1_CA_2.l13  0.021365   0.048277   0.443 0.658137    
## Household_2_CA_2.l13  0.007411   0.060022   0.123 0.901744    
## Foods_1_CA_2.l13      0.094648   0.073011   1.296 0.195013    
## Foods_2_CA_2.l13      0.029026   0.052075   0.557 0.577331    
## Foods_3_CA_2.l13     -0.011544   0.014493  -0.796 0.425852    
## Hobbies_CA_2.l14      0.084979   0.024310   3.496 0.000484 ***
## Household_1_CA_2.l14  0.020324   0.046771   0.435 0.663938    
## Household_2_CA_2.l14  0.015422   0.059143   0.261 0.794305    
## Foods_1_CA_2.l14     -0.141304   0.070396  -2.007 0.044863 *  
## Foods_2_CA_2.l14      0.058647   0.050410   1.163 0.244809    
## Foods_3_CA_2.l14      0.038037   0.013902   2.736 0.006276 ** 
## const                40.581302  12.969276   3.129 0.001781 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 48.52 on 1870 degrees of freedom
## Multiple R-Squared: 0.5815,  Adjusted R-squared: 0.5627 
## F-statistic: 30.93 on 84 and 1870 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Household_1_CA_2: 
## ================================================= 
## Household_1_CA_2 = Hobbies_CA_2.l1 + Household_1_CA_2.l1 + Household_2_CA_2.l1 + Foods_1_CA_2.l1 + Foods_2_CA_2.l1 + Foods_3_CA_2.l1 + Hobbies_CA_2.l2 + Household_1_CA_2.l2 + Household_2_CA_2.l2 + Foods_1_CA_2.l2 + Foods_2_CA_2.l2 + Foods_3_CA_2.l2 + Hobbies_CA_2.l3 + Household_1_CA_2.l3 + Household_2_CA_2.l3 + Foods_1_CA_2.l3 + Foods_2_CA_2.l3 + Foods_3_CA_2.l3 + Hobbies_CA_2.l4 + Household_1_CA_2.l4 + Household_2_CA_2.l4 + Foods_1_CA_2.l4 + Foods_2_CA_2.l4 + Foods_3_CA_2.l4 + Hobbies_CA_2.l5 + Household_1_CA_2.l5 + Household_2_CA_2.l5 + Foods_1_CA_2.l5 + Foods_2_CA_2.l5 + Foods_3_CA_2.l5 + Hobbies_CA_2.l6 + Household_1_CA_2.l6 + Household_2_CA_2.l6 + Foods_1_CA_2.l6 + Foods_2_CA_2.l6 + Foods_3_CA_2.l6 + Hobbies_CA_2.l7 + Household_1_CA_2.l7 + Household_2_CA_2.l7 + Foods_1_CA_2.l7 + Foods_2_CA_2.l7 + Foods_3_CA_2.l7 + Hobbies_CA_2.l8 + Household_1_CA_2.l8 + Household_2_CA_2.l8 + Foods_1_CA_2.l8 + Foods_2_CA_2.l8 + Foods_3_CA_2.l8 + Hobbies_CA_2.l9 + Household_1_CA_2.l9 + Household_2_CA_2.l9 + Foods_1_CA_2.l9 + Foods_2_CA_2.l9 + Foods_3_CA_2.l9 + Hobbies_CA_2.l10 + Household_1_CA_2.l10 + Household_2_CA_2.l10 + Foods_1_CA_2.l10 + Foods_2_CA_2.l10 + Foods_3_CA_2.l10 + Hobbies_CA_2.l11 + Household_1_CA_2.l11 + Household_2_CA_2.l11 + Foods_1_CA_2.l11 + Foods_2_CA_2.l11 + Foods_3_CA_2.l11 + Hobbies_CA_2.l12 + Household_1_CA_2.l12 + Household_2_CA_2.l12 + Foods_1_CA_2.l12 + Foods_2_CA_2.l12 + Foods_3_CA_2.l12 + Hobbies_CA_2.l13 + Household_1_CA_2.l13 + Household_2_CA_2.l13 + Foods_1_CA_2.l13 + Foods_2_CA_2.l13 + Foods_3_CA_2.l13 + Hobbies_CA_2.l14 + Household_1_CA_2.l14 + Household_2_CA_2.l14 + Foods_1_CA_2.l14 + Foods_2_CA_2.l14 + Foods_3_CA_2.l14 + const 
## 
##                        Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_2.l1       0.0266858  0.0157174   1.698  0.08970 .  
## Household_1_CA_2.l1   0.2232573  0.0293123   7.616 4.11e-14 ***
## Household_2_CA_2.l1  -0.0056495  0.0376126  -0.150  0.88062    
## Foods_1_CA_2.l1       0.0157268  0.0443961   0.354  0.72320    
## Foods_2_CA_2.l1       0.0102149  0.0321657   0.318  0.75085    
## Foods_3_CA_2.l1      -0.0112669  0.0087551  -1.287  0.19829    
## Hobbies_CA_2.l2      -0.0230565  0.0157358  -1.465  0.14303    
## Household_1_CA_2.l2  -0.0015196  0.0300957  -0.050  0.95974    
## Household_2_CA_2.l2  -0.0437665  0.0379866  -1.152  0.24940    
## Foods_1_CA_2.l2      -0.0414495  0.0460977  -0.899  0.36868    
## Foods_2_CA_2.l2      -0.0095801  0.0331676  -0.289  0.77274    
## Foods_3_CA_2.l2      -0.0061114  0.0090799  -0.673  0.50098    
## Hobbies_CA_2.l3       0.0111512  0.0157905   0.706  0.48015    
## Household_1_CA_2.l3   0.0830405  0.0302978   2.741  0.00619 ** 
## Household_2_CA_2.l3  -0.0093038  0.0380889  -0.244  0.80705    
## Foods_1_CA_2.l3       0.0360869  0.0462690   0.780  0.43553    
## Foods_2_CA_2.l3      -0.0461185  0.0333608  -1.382  0.16701    
## Foods_3_CA_2.l3      -0.0075935  0.0091413  -0.831  0.40626    
## Hobbies_CA_2.l4      -0.0208958  0.0158568  -1.318  0.18774    
## Household_1_CA_2.l4   0.0048273  0.0303739   0.159  0.87374    
## Household_2_CA_2.l4  -0.0583538  0.0382711  -1.525  0.12749    
## Foods_1_CA_2.l4       0.0898491  0.0462476   1.943  0.05219 .  
## Foods_2_CA_2.l4      -0.0325968  0.0333962  -0.976  0.32916    
## Foods_3_CA_2.l4       0.0065687  0.0091511   0.718  0.47297    
## Hobbies_CA_2.l5       0.0104250  0.0158867   0.656  0.51177    
## Household_1_CA_2.l5   0.0124918  0.0303783   0.411  0.68097    
## Household_2_CA_2.l5  -0.0858557  0.0384022  -2.236  0.02549 *  
## Foods_1_CA_2.l5      -0.0272677  0.0466202  -0.585  0.55869    
## Foods_2_CA_2.l5      -0.0018854  0.0333594  -0.057  0.95494    
## Foods_3_CA_2.l5      -0.0067740  0.0091764  -0.738  0.46049    
## Hobbies_CA_2.l6      -0.0061712  0.0158322  -0.390  0.69674    
## Household_1_CA_2.l6   0.0405374  0.0303880   1.334  0.18237    
## Household_2_CA_2.l6   0.0086437  0.0383865   0.225  0.82187    
## Foods_1_CA_2.l6       0.0381371  0.0465438   0.819  0.41267    
## Foods_2_CA_2.l6       0.0005341  0.0333162   0.016  0.98721    
## Foods_3_CA_2.l6       0.0074288  0.0091965   0.808  0.41932    
## Hobbies_CA_2.l7      -0.0115449  0.0158073  -0.730  0.46527    
## Household_1_CA_2.l7   0.2413978  0.0303978   7.941 3.42e-15 ***
## Household_2_CA_2.l7   0.0966625  0.0383273   2.522  0.01175 *  
## Foods_1_CA_2.l7      -0.0646294  0.0468449  -1.380  0.16786    
## Foods_2_CA_2.l7      -0.0015076  0.0333860  -0.045  0.96399    
## Foods_3_CA_2.l7       0.0130131  0.0092129   1.412  0.15797    
## Hobbies_CA_2.l8      -0.0025546  0.0157882  -0.162  0.87148    
## Household_1_CA_2.l8  -0.0626459  0.0307745  -2.036  0.04193 *  
## Household_2_CA_2.l8   0.0390510  0.0382609   1.021  0.30755    
## Foods_1_CA_2.l8      -0.0254058  0.0468618  -0.542  0.58778    
## Foods_2_CA_2.l8      -0.0060628  0.0333496  -0.182  0.85576    
## Foods_3_CA_2.l8       0.0225995  0.0092158   2.452  0.01429 *  
## Hobbies_CA_2.l9       0.0112962  0.0157267   0.718  0.47267    
## Household_1_CA_2.l9  -0.0367334  0.0308382  -1.191  0.23374    
## Household_2_CA_2.l9  -0.1057384  0.0383294  -2.759  0.00586 ** 
## Foods_1_CA_2.l9       0.0678195  0.0465700   1.456  0.14548    
## Foods_2_CA_2.l9      -0.0293923  0.0332619  -0.884  0.37699    
## Foods_3_CA_2.l9       0.0150925  0.0092242   1.636  0.10197    
## Hobbies_CA_2.l10      0.0163566  0.0156758   1.043  0.29688    
## Household_1_CA_2.l10  0.0561886  0.0308486   1.821  0.06870 .  
## Household_2_CA_2.l10 -0.0082916  0.0384374  -0.216  0.82923    
## Foods_1_CA_2.l10     -0.0156270  0.0466652  -0.335  0.73776    
## Foods_2_CA_2.l10      0.0432028  0.0332441   1.300  0.19391    
## Foods_3_CA_2.l10     -0.0158887  0.0092219  -1.723  0.08507 .  
## Hobbies_CA_2.l11     -0.0152133  0.0156210  -0.974  0.33023    
## Household_1_CA_2.l11  0.0154884  0.0308490   0.502  0.61568    
## Household_2_CA_2.l11 -0.0204933  0.0383842  -0.534  0.59347    
## Foods_1_CA_2.l11     -0.0354272  0.0466039  -0.760  0.44724    
## Foods_2_CA_2.l11      0.0146314  0.0332148   0.441  0.65962    
## Foods_3_CA_2.l11      0.0076597  0.0092112   0.832  0.40576    
## Hobbies_CA_2.l12      0.0072494  0.0155615   0.466  0.64138    
## Household_1_CA_2.l12  0.0184455  0.0308297   0.598  0.54971    
## Household_2_CA_2.l12  0.0969870  0.0382389   2.536  0.01128 *  
## Foods_1_CA_2.l12     -0.0196401  0.0466104  -0.421  0.67353    
## Foods_2_CA_2.l12      0.0817371  0.0331445   2.466  0.01375 *  
## Foods_3_CA_2.l12     -0.0429264  0.0092088  -4.661 3.36e-06 ***
## Hobbies_CA_2.l13     -0.0029583  0.0155156  -0.191  0.84881    
## Household_1_CA_2.l13  0.0914742  0.0306470   2.985  0.00287 ** 
## Household_2_CA_2.l13  0.0608653  0.0381027   1.597  0.11035    
## Foods_1_CA_2.l13      0.0389326  0.0463487   0.840  0.40102    
## Foods_2_CA_2.l13     -0.0518883  0.0330578  -1.570  0.11667    
## Foods_3_CA_2.l13      0.0023514  0.0092005   0.256  0.79831    
## Hobbies_CA_2.l14      0.0039065  0.0154323   0.253  0.80019    
## Household_1_CA_2.l14  0.1929094  0.0296910   6.497 1.05e-10 ***
## Household_2_CA_2.l14  0.0866505  0.0375448   2.308  0.02111 *  
## Foods_1_CA_2.l14     -0.0213539  0.0446883  -0.478  0.63282    
## Foods_2_CA_2.l14     -0.0103756  0.0320009  -0.324  0.74580    
## Foods_3_CA_2.l14      0.0277707  0.0088253   3.147  0.00168 ** 
## const                 7.6980689  8.2331256   0.935  0.34990    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 30.8 on 1870 degrees of freedom
## Multiple R-Squared: 0.8179,  Adjusted R-squared: 0.8097 
## F-statistic: 99.98 on 84 and 1870 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Household_2_CA_2: 
## ================================================= 
## Household_2_CA_2 = Hobbies_CA_2.l1 + Household_1_CA_2.l1 + Household_2_CA_2.l1 + Foods_1_CA_2.l1 + Foods_2_CA_2.l1 + Foods_3_CA_2.l1 + Hobbies_CA_2.l2 + Household_1_CA_2.l2 + Household_2_CA_2.l2 + Foods_1_CA_2.l2 + Foods_2_CA_2.l2 + Foods_3_CA_2.l2 + Hobbies_CA_2.l3 + Household_1_CA_2.l3 + Household_2_CA_2.l3 + Foods_1_CA_2.l3 + Foods_2_CA_2.l3 + Foods_3_CA_2.l3 + Hobbies_CA_2.l4 + Household_1_CA_2.l4 + Household_2_CA_2.l4 + Foods_1_CA_2.l4 + Foods_2_CA_2.l4 + Foods_3_CA_2.l4 + Hobbies_CA_2.l5 + Household_1_CA_2.l5 + Household_2_CA_2.l5 + Foods_1_CA_2.l5 + Foods_2_CA_2.l5 + Foods_3_CA_2.l5 + Hobbies_CA_2.l6 + Household_1_CA_2.l6 + Household_2_CA_2.l6 + Foods_1_CA_2.l6 + Foods_2_CA_2.l6 + Foods_3_CA_2.l6 + Hobbies_CA_2.l7 + Household_1_CA_2.l7 + Household_2_CA_2.l7 + Foods_1_CA_2.l7 + Foods_2_CA_2.l7 + Foods_3_CA_2.l7 + Hobbies_CA_2.l8 + Household_1_CA_2.l8 + Household_2_CA_2.l8 + Foods_1_CA_2.l8 + Foods_2_CA_2.l8 + Foods_3_CA_2.l8 + Hobbies_CA_2.l9 + Household_1_CA_2.l9 + Household_2_CA_2.l9 + Foods_1_CA_2.l9 + Foods_2_CA_2.l9 + Foods_3_CA_2.l9 + Hobbies_CA_2.l10 + Household_1_CA_2.l10 + Household_2_CA_2.l10 + Foods_1_CA_2.l10 + Foods_2_CA_2.l10 + Foods_3_CA_2.l10 + Hobbies_CA_2.l11 + Household_1_CA_2.l11 + Household_2_CA_2.l11 + Foods_1_CA_2.l11 + Foods_2_CA_2.l11 + Foods_3_CA_2.l11 + Hobbies_CA_2.l12 + Household_1_CA_2.l12 + Household_2_CA_2.l12 + Foods_1_CA_2.l12 + Foods_2_CA_2.l12 + Foods_3_CA_2.l12 + Hobbies_CA_2.l13 + Household_1_CA_2.l13 + Household_2_CA_2.l13 + Foods_1_CA_2.l13 + Foods_2_CA_2.l13 + Foods_3_CA_2.l13 + Hobbies_CA_2.l14 + Household_1_CA_2.l14 + Household_2_CA_2.l14 + Foods_1_CA_2.l14 + Foods_2_CA_2.l14 + Foods_3_CA_2.l14 + const 
## 
##                        Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_2.l1       0.0109578  0.0118135   0.928 0.353754    
## Household_1_CA_2.l1   0.0099804  0.0220318   0.453 0.650601    
## Household_2_CA_2.l1   0.1412779  0.0282704   4.997 6.35e-07 ***
## Foods_1_CA_2.l1      -0.0622984  0.0333690  -1.867 0.062065 .  
## Foods_2_CA_2.l1       0.0279760  0.0241764   1.157 0.247354    
## Foods_3_CA_2.l1      -0.0074426  0.0065805  -1.131 0.258197    
## Hobbies_CA_2.l2      -0.0124430  0.0118273  -1.052 0.292911    
## Household_1_CA_2.l2  -0.1071164  0.0226206  -4.735 2.35e-06 ***
## Household_2_CA_2.l2   0.0623020  0.0285515   2.182 0.029227 *  
## Foods_1_CA_2.l2       0.0111874  0.0346480   0.323 0.746816    
## Foods_2_CA_2.l2      -0.0084201  0.0249295  -0.338 0.735583    
## Foods_3_CA_2.l2       0.0026105  0.0068246   0.383 0.702123    
## Hobbies_CA_2.l3       0.0048161  0.0118685   0.406 0.684945    
## Household_1_CA_2.l3   0.0235137  0.0227725   1.033 0.301948    
## Household_2_CA_2.l3   0.0862479  0.0286284   3.013 0.002624 ** 
## Foods_1_CA_2.l3       0.0373425  0.0347768   1.074 0.283061    
## Foods_2_CA_2.l3      -0.0403689  0.0250746  -1.610 0.107578    
## Foods_3_CA_2.l3      -0.0062228  0.0068708  -0.906 0.365219    
## Hobbies_CA_2.l4      -0.0267897  0.0119183  -2.248 0.024707 *  
## Household_1_CA_2.l4   0.0147499  0.0228297   0.646 0.518303    
## Household_2_CA_2.l4  -0.0074381  0.0287653  -0.259 0.795989    
## Foods_1_CA_2.l4      -0.0018212  0.0347607  -0.052 0.958222    
## Foods_2_CA_2.l4      -0.0173619  0.0251013  -0.692 0.489228    
## Foods_3_CA_2.l4       0.0038914  0.0068782   0.566 0.571628    
## Hobbies_CA_2.l5       0.0180515  0.0119408   1.512 0.130766    
## Household_1_CA_2.l5  -0.0574829  0.0228330  -2.518 0.011901 *  
## Household_2_CA_2.l5   0.0111952  0.0288639   0.388 0.698163    
## Foods_1_CA_2.l5      -0.0106041  0.0350407  -0.303 0.762212    
## Foods_2_CA_2.l5       0.0055026  0.0250736   0.219 0.826317    
## Foods_3_CA_2.l5      -0.0067121  0.0068972  -0.973 0.330594    
## Hobbies_CA_2.l6       0.0013000  0.0118998   0.109 0.913022    
## Household_1_CA_2.l6   0.0153410  0.0228403   0.672 0.501882    
## Household_2_CA_2.l6   0.0479008  0.0288521   1.660 0.097038 .  
## Foods_1_CA_2.l6       0.0209264  0.0349833   0.598 0.549792    
## Foods_2_CA_2.l6       0.0278335  0.0250412   1.112 0.266492    
## Foods_3_CA_2.l6      -0.0032779  0.0069123  -0.474 0.635408    
## Hobbies_CA_2.l7      -0.0202703  0.0118811  -1.706 0.088157 .  
## Household_1_CA_2.l7   0.1311752  0.0228477   5.741 1.09e-08 ***
## Household_2_CA_2.l7   0.1706054  0.0288076   5.922 3.77e-09 ***
## Foods_1_CA_2.l7       0.0223181  0.0352096   0.634 0.526247    
## Foods_2_CA_2.l7       0.0381553  0.0250936   1.521 0.128550    
## Foods_3_CA_2.l7      -0.0064498  0.0069246  -0.931 0.351752    
## Hobbies_CA_2.l8       0.0078432  0.0118668   0.661 0.508731    
## Household_1_CA_2.l8  -0.0400465  0.0231308  -1.731 0.083561 .  
## Household_2_CA_2.l8   0.0626649  0.0287577   2.179 0.029451 *  
## Foods_1_CA_2.l8      -0.0252673  0.0352223  -0.717 0.473238    
## Foods_2_CA_2.l8      -0.0098242  0.0250663  -0.392 0.695155    
## Foods_3_CA_2.l8       0.0165446  0.0069268   2.388 0.017016 *  
## Hobbies_CA_2.l9      -0.0004930  0.0118205  -0.042 0.966737    
## Household_1_CA_2.l9  -0.0775503  0.0231786  -3.346 0.000837 ***
## Household_2_CA_2.l9   0.0192727  0.0288092   0.669 0.503591    
## Foods_1_CA_2.l9       0.0813837  0.0350030   2.325 0.020176 *  
## Foods_2_CA_2.l9      -0.0352366  0.0250003  -1.409 0.158869    
## Foods_3_CA_2.l9       0.0054087  0.0069331   0.780 0.435418    
## Hobbies_CA_2.l10      0.0065291  0.0117822   0.554 0.579546    
## Household_1_CA_2.l10  0.0064990  0.0231864   0.280 0.779284    
## Household_2_CA_2.l10  0.0051629  0.0288904   0.179 0.858186    
## Foods_1_CA_2.l10     -0.0162226  0.0350746  -0.463 0.643764    
## Foods_2_CA_2.l10      0.0057111  0.0249869   0.229 0.819233    
## Foods_3_CA_2.l10     -0.0018426  0.0069314  -0.266 0.790395    
## Hobbies_CA_2.l11     -0.0017904  0.0117411  -0.152 0.878820    
## Household_1_CA_2.l11 -0.0139505  0.0231868  -0.602 0.547475    
## Household_2_CA_2.l11 -0.0107959  0.0288503  -0.374 0.708295    
## Foods_1_CA_2.l11      0.0095848  0.0350284   0.274 0.784400    
## Foods_2_CA_2.l11      0.0045648  0.0249649   0.183 0.854935    
## Foods_3_CA_2.l11      0.0048023  0.0069233   0.694 0.487993    
## Hobbies_CA_2.l12      0.0053098  0.0116964   0.454 0.649904    
## Household_1_CA_2.l12  0.0050777  0.0231723   0.219 0.826575    
## Household_2_CA_2.l12  0.0827839  0.0287412   2.880 0.004018 ** 
## Foods_1_CA_2.l12     -0.0131698  0.0350333  -0.376 0.707017    
## Foods_2_CA_2.l12      0.0082933  0.0249121   0.333 0.739244    
## Foods_3_CA_2.l12     -0.0207824  0.0069215  -3.003 0.002713 ** 
## Hobbies_CA_2.l13      0.0008698  0.0116618   0.075 0.940555    
## Household_1_CA_2.l13  0.0162578  0.0230349   0.706 0.480408    
## Household_2_CA_2.l13  0.0608384  0.0286388   2.124 0.033773 *  
## Foods_1_CA_2.l13      0.0679975  0.0348367   1.952 0.051100 .  
## Foods_2_CA_2.l13      0.0066966  0.0248469   0.270 0.787564    
## Foods_3_CA_2.l13     -0.0033627  0.0069153  -0.486 0.626833    
## Hobbies_CA_2.l14      0.0162004  0.0115992   1.397 0.162676    
## Household_1_CA_2.l14  0.1101362  0.0223164   4.935 8.72e-07 ***
## Household_2_CA_2.l14  0.1134669  0.0282194   4.021 6.03e-05 ***
## Foods_1_CA_2.l14     -0.0688279  0.0335887  -2.049 0.040588 *  
## Foods_2_CA_2.l14      0.0026974  0.0240525   0.112 0.910720    
## Foods_3_CA_2.l14      0.0160488  0.0066333   2.419 0.015639 *  
## const                14.4957449  6.1881897   2.342 0.019260 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 23.15 on 1870 degrees of freedom
## Multiple R-Squared: 0.7733,  Adjusted R-squared: 0.7631 
## F-statistic: 75.94 on 84 and 1870 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Foods_1_CA_2: 
## ============================================= 
## Foods_1_CA_2 = Hobbies_CA_2.l1 + Household_1_CA_2.l1 + Household_2_CA_2.l1 + Foods_1_CA_2.l1 + Foods_2_CA_2.l1 + Foods_3_CA_2.l1 + Hobbies_CA_2.l2 + Household_1_CA_2.l2 + Household_2_CA_2.l2 + Foods_1_CA_2.l2 + Foods_2_CA_2.l2 + Foods_3_CA_2.l2 + Hobbies_CA_2.l3 + Household_1_CA_2.l3 + Household_2_CA_2.l3 + Foods_1_CA_2.l3 + Foods_2_CA_2.l3 + Foods_3_CA_2.l3 + Hobbies_CA_2.l4 + Household_1_CA_2.l4 + Household_2_CA_2.l4 + Foods_1_CA_2.l4 + Foods_2_CA_2.l4 + Foods_3_CA_2.l4 + Hobbies_CA_2.l5 + Household_1_CA_2.l5 + Household_2_CA_2.l5 + Foods_1_CA_2.l5 + Foods_2_CA_2.l5 + Foods_3_CA_2.l5 + Hobbies_CA_2.l6 + Household_1_CA_2.l6 + Household_2_CA_2.l6 + Foods_1_CA_2.l6 + Foods_2_CA_2.l6 + Foods_3_CA_2.l6 + Hobbies_CA_2.l7 + Household_1_CA_2.l7 + Household_2_CA_2.l7 + Foods_1_CA_2.l7 + Foods_2_CA_2.l7 + Foods_3_CA_2.l7 + Hobbies_CA_2.l8 + Household_1_CA_2.l8 + Household_2_CA_2.l8 + Foods_1_CA_2.l8 + Foods_2_CA_2.l8 + Foods_3_CA_2.l8 + Hobbies_CA_2.l9 + Household_1_CA_2.l9 + Household_2_CA_2.l9 + Foods_1_CA_2.l9 + Foods_2_CA_2.l9 + Foods_3_CA_2.l9 + Hobbies_CA_2.l10 + Household_1_CA_2.l10 + Household_2_CA_2.l10 + Foods_1_CA_2.l10 + Foods_2_CA_2.l10 + Foods_3_CA_2.l10 + Hobbies_CA_2.l11 + Household_1_CA_2.l11 + Household_2_CA_2.l11 + Foods_1_CA_2.l11 + Foods_2_CA_2.l11 + Foods_3_CA_2.l11 + Hobbies_CA_2.l12 + Household_1_CA_2.l12 + Household_2_CA_2.l12 + Foods_1_CA_2.l12 + Foods_2_CA_2.l12 + Foods_3_CA_2.l12 + Hobbies_CA_2.l13 + Household_1_CA_2.l13 + Household_2_CA_2.l13 + Foods_1_CA_2.l13 + Foods_2_CA_2.l13 + Foods_3_CA_2.l13 + Hobbies_CA_2.l14 + Household_1_CA_2.l14 + Household_2_CA_2.l14 + Foods_1_CA_2.l14 + Foods_2_CA_2.l14 + Foods_3_CA_2.l14 + const 
## 
##                        Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_2.l1       3.426e-05  8.941e-03   0.004 0.996943    
## Household_1_CA_2.l1  -2.559e-03  1.667e-02  -0.153 0.878045    
## Household_2_CA_2.l1   1.241e-02  2.140e-02   0.580 0.561940    
## Foods_1_CA_2.l1       2.705e-01  2.526e-02  10.709  < 2e-16 ***
## Foods_2_CA_2.l1       1.450e-02  1.830e-02   0.793 0.428169    
## Foods_3_CA_2.l1       4.452e-03  4.980e-03   0.894 0.371503    
## Hobbies_CA_2.l2      -4.407e-03  8.952e-03  -0.492 0.622582    
## Household_1_CA_2.l2   1.524e-02  1.712e-02   0.890 0.373475    
## Household_2_CA_2.l2   5.820e-03  2.161e-02   0.269 0.787720    
## Foods_1_CA_2.l2       1.002e-01  2.622e-02   3.821 0.000137 ***
## Foods_2_CA_2.l2      -1.945e-02  1.887e-02  -1.031 0.302824    
## Foods_3_CA_2.l2      -5.760e-03  5.165e-03  -1.115 0.264944    
## Hobbies_CA_2.l3      -9.759e-03  8.983e-03  -1.086 0.277422    
## Household_1_CA_2.l3   1.616e-02  1.724e-02   0.938 0.348538    
## Household_2_CA_2.l3   1.110e-02  2.167e-02   0.512 0.608506    
## Foods_1_CA_2.l3       3.910e-02  2.632e-02   1.486 0.137560    
## Foods_2_CA_2.l3      -1.036e-02  1.898e-02  -0.546 0.585251    
## Foods_3_CA_2.l3      -1.159e-03  5.200e-03  -0.223 0.823592    
## Hobbies_CA_2.l4      -3.449e-04  9.020e-03  -0.038 0.969501    
## Household_1_CA_2.l4   1.119e-03  1.728e-02   0.065 0.948373    
## Household_2_CA_2.l4  -7.030e-02  2.177e-02  -3.229 0.001264 ** 
## Foods_1_CA_2.l4       5.737e-02  2.631e-02   2.181 0.029321 *  
## Foods_2_CA_2.l4      -3.711e-02  1.900e-02  -1.954 0.050905 .  
## Foods_3_CA_2.l4       1.068e-02  5.206e-03   2.053 0.040260 *  
## Hobbies_CA_2.l5       2.133e-03  9.037e-03   0.236 0.813426    
## Household_1_CA_2.l5   7.079e-03  1.728e-02   0.410 0.682131    
## Household_2_CA_2.l5   7.703e-03  2.185e-02   0.353 0.724409    
## Foods_1_CA_2.l5       5.140e-02  2.652e-02   1.938 0.052780 .  
## Foods_2_CA_2.l5      -1.977e-02  1.898e-02  -1.042 0.297654    
## Foods_3_CA_2.l5      -2.079e-03  5.220e-03  -0.398 0.690533    
## Hobbies_CA_2.l6      -3.460e-03  9.006e-03  -0.384 0.700928    
## Household_1_CA_2.l6   1.382e-02  1.729e-02   0.800 0.424043    
## Household_2_CA_2.l6  -2.479e-02  2.184e-02  -1.135 0.256361    
## Foods_1_CA_2.l6       1.511e-01  2.648e-02   5.707 1.34e-08 ***
## Foods_2_CA_2.l6       1.746e-02  1.895e-02   0.921 0.356985    
## Foods_3_CA_2.l6      -2.959e-03  5.232e-03  -0.566 0.571792    
## Hobbies_CA_2.l7      -7.247e-03  8.992e-03  -0.806 0.420414    
## Household_1_CA_2.l7   5.802e-02  1.729e-02   3.355 0.000809 ***
## Household_2_CA_2.l7  -4.872e-02  2.180e-02  -2.235 0.025565 *  
## Foods_1_CA_2.l7       2.475e-01  2.665e-02   9.289  < 2e-16 ***
## Foods_2_CA_2.l7      -6.182e-03  1.899e-02  -0.325 0.744853    
## Foods_3_CA_2.l7       8.906e-03  5.241e-03   1.699 0.089430 .  
## Hobbies_CA_2.l8       1.805e-03  8.981e-03   0.201 0.840770    
## Household_1_CA_2.l8  -5.107e-02  1.751e-02  -2.917 0.003571 ** 
## Household_2_CA_2.l8   4.286e-02  2.177e-02   1.969 0.049094 *  
## Foods_1_CA_2.l8       2.337e-03  2.666e-02   0.088 0.930148    
## Foods_2_CA_2.l8       4.870e-02  1.897e-02   2.567 0.010334 *  
## Foods_3_CA_2.l8      -8.383e-03  5.243e-03  -1.599 0.110001    
## Hobbies_CA_2.l9      -3.474e-03  8.946e-03  -0.388 0.697814    
## Household_1_CA_2.l9  -4.409e-02  1.754e-02  -2.513 0.012045 *  
## Household_2_CA_2.l9  -2.613e-02  2.180e-02  -1.198 0.230909    
## Foods_1_CA_2.l9      -6.475e-02  2.649e-02  -2.444 0.014611 *  
## Foods_2_CA_2.l9       8.278e-03  1.892e-02   0.438 0.661790    
## Foods_3_CA_2.l9       8.194e-03  5.247e-03   1.562 0.118573    
## Hobbies_CA_2.l10      1.513e-02  8.917e-03   1.697 0.089930 .  
## Household_1_CA_2.l10  7.971e-03  1.755e-02   0.454 0.649714    
## Household_2_CA_2.l10  2.045e-02  2.187e-02   0.935 0.349751    
## Foods_1_CA_2.l10     -5.822e-02  2.655e-02  -2.193 0.028408 *  
## Foods_2_CA_2.l10      8.084e-03  1.891e-02   0.427 0.669070    
## Foods_3_CA_2.l10     -5.790e-03  5.246e-03  -1.104 0.269903    
## Hobbies_CA_2.l11      7.727e-03  8.886e-03   0.870 0.384668    
## Household_1_CA_2.l11  2.422e-02  1.755e-02   1.380 0.167633    
## Household_2_CA_2.l11  2.010e-02  2.184e-02   0.921 0.357336    
## Foods_1_CA_2.l11     -3.740e-02  2.651e-02  -1.411 0.158493    
## Foods_2_CA_2.l11     -7.615e-03  1.889e-02  -0.403 0.686994    
## Foods_3_CA_2.l11     -2.781e-03  5.240e-03  -0.531 0.595674    
## Hobbies_CA_2.l12      1.293e-02  8.852e-03   1.460 0.144358    
## Household_1_CA_2.l12 -2.832e-03  1.754e-02  -0.161 0.871728    
## Household_2_CA_2.l12  3.251e-02  2.175e-02   1.494 0.135214    
## Foods_1_CA_2.l12     -4.436e-02  2.652e-02  -1.673 0.094526 .  
## Foods_2_CA_2.l12      2.431e-02  1.885e-02   1.289 0.197432    
## Foods_3_CA_2.l12     -1.283e-02  5.239e-03  -2.449 0.014413 *  
## Hobbies_CA_2.l13     -1.090e-02  8.826e-03  -1.235 0.217003    
## Household_1_CA_2.l13 -2.732e-02  1.743e-02  -1.567 0.117216    
## Household_2_CA_2.l13  2.249e-02  2.168e-02   1.038 0.299533    
## Foods_1_CA_2.l13      9.738e-02  2.637e-02   3.693 0.000228 ***
## Foods_2_CA_2.l13     -4.097e-03  1.881e-02  -0.218 0.827551    
## Foods_3_CA_2.l13     -2.515e-03  5.234e-03  -0.481 0.630866    
## Hobbies_CA_2.l14     -5.515e-03  8.779e-03  -0.628 0.529934    
## Household_1_CA_2.l14 -1.743e-03  1.689e-02  -0.103 0.917835    
## Household_2_CA_2.l14  2.322e-02  2.136e-02   1.087 0.277192    
## Foods_1_CA_2.l14      1.818e-01  2.542e-02   7.150 1.24e-12 ***
## Foods_2_CA_2.l14     -6.701e-03  1.820e-02  -0.368 0.712843    
## Foods_3_CA_2.l14      7.207e-03  5.020e-03   1.435 0.151327    
## const                -1.532e+00  4.684e+00  -0.327 0.743647    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 17.52 on 1870 degrees of freedom
## Multiple R-Squared: 0.9049,  Adjusted R-squared: 0.9006 
## F-statistic: 211.7 on 84 and 1870 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Foods_2_CA_2: 
## ============================================= 
## Foods_2_CA_2 = Hobbies_CA_2.l1 + Household_1_CA_2.l1 + Household_2_CA_2.l1 + Foods_1_CA_2.l1 + Foods_2_CA_2.l1 + Foods_3_CA_2.l1 + Hobbies_CA_2.l2 + Household_1_CA_2.l2 + Household_2_CA_2.l2 + Foods_1_CA_2.l2 + Foods_2_CA_2.l2 + Foods_3_CA_2.l2 + Hobbies_CA_2.l3 + Household_1_CA_2.l3 + Household_2_CA_2.l3 + Foods_1_CA_2.l3 + Foods_2_CA_2.l3 + Foods_3_CA_2.l3 + Hobbies_CA_2.l4 + Household_1_CA_2.l4 + Household_2_CA_2.l4 + Foods_1_CA_2.l4 + Foods_2_CA_2.l4 + Foods_3_CA_2.l4 + Hobbies_CA_2.l5 + Household_1_CA_2.l5 + Household_2_CA_2.l5 + Foods_1_CA_2.l5 + Foods_2_CA_2.l5 + Foods_3_CA_2.l5 + Hobbies_CA_2.l6 + Household_1_CA_2.l6 + Household_2_CA_2.l6 + Foods_1_CA_2.l6 + Foods_2_CA_2.l6 + Foods_3_CA_2.l6 + Hobbies_CA_2.l7 + Household_1_CA_2.l7 + Household_2_CA_2.l7 + Foods_1_CA_2.l7 + Foods_2_CA_2.l7 + Foods_3_CA_2.l7 + Hobbies_CA_2.l8 + Household_1_CA_2.l8 + Household_2_CA_2.l8 + Foods_1_CA_2.l8 + Foods_2_CA_2.l8 + Foods_3_CA_2.l8 + Hobbies_CA_2.l9 + Household_1_CA_2.l9 + Household_2_CA_2.l9 + Foods_1_CA_2.l9 + Foods_2_CA_2.l9 + Foods_3_CA_2.l9 + Hobbies_CA_2.l10 + Household_1_CA_2.l10 + Household_2_CA_2.l10 + Foods_1_CA_2.l10 + Foods_2_CA_2.l10 + Foods_3_CA_2.l10 + Hobbies_CA_2.l11 + Household_1_CA_2.l11 + Household_2_CA_2.l11 + Foods_1_CA_2.l11 + Foods_2_CA_2.l11 + Foods_3_CA_2.l11 + Hobbies_CA_2.l12 + Household_1_CA_2.l12 + Household_2_CA_2.l12 + Foods_1_CA_2.l12 + Foods_2_CA_2.l12 + Foods_3_CA_2.l12 + Hobbies_CA_2.l13 + Household_1_CA_2.l13 + Household_2_CA_2.l13 + Foods_1_CA_2.l13 + Foods_2_CA_2.l13 + Foods_3_CA_2.l13 + Hobbies_CA_2.l14 + Household_1_CA_2.l14 + Household_2_CA_2.l14 + Foods_1_CA_2.l14 + Foods_2_CA_2.l14 + Foods_3_CA_2.l14 + const 
## 
##                        Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_2.l1       0.0263851  0.0158611   1.664  0.09638 .  
## Household_1_CA_2.l1  -0.0498566  0.0295804  -1.685  0.09207 .  
## Household_2_CA_2.l1  -0.0226612  0.0379566  -0.597  0.55056    
## Foods_1_CA_2.l1      -0.0466996  0.0448021  -1.042  0.29738    
## Foods_2_CA_2.l1       0.3160652  0.0324598   9.737  < 2e-16 ***
## Foods_3_CA_2.l1       0.0062661  0.0088352   0.709  0.47828    
## Hobbies_CA_2.l2      -0.0249038  0.0158797  -1.568  0.11698    
## Household_1_CA_2.l2  -0.0303553  0.0303709  -0.999  0.31769    
## Household_2_CA_2.l2  -0.0674595  0.0383339  -1.760  0.07861 .  
## Foods_1_CA_2.l2      -0.0201557  0.0465192  -0.433  0.66486    
## Foods_2_CA_2.l2       0.0906683  0.0334709   2.709  0.00681 ** 
## Foods_3_CA_2.l2      -0.0056624  0.0091629  -0.618  0.53667    
## Hobbies_CA_2.l3      -0.0372299  0.0159349  -2.336  0.01958 *  
## Household_1_CA_2.l3   0.0581461  0.0305749   1.902  0.05736 .  
## Household_2_CA_2.l3  -0.0090996  0.0384372  -0.237  0.81289    
## Foods_1_CA_2.l3       0.0528434  0.0466921   1.132  0.25789    
## Foods_2_CA_2.l3       0.0418269  0.0336658   1.242  0.21424    
## Foods_3_CA_2.l3      -0.0143798  0.0092248  -1.559  0.11921    
## Hobbies_CA_2.l4      -0.0325003  0.0160019  -2.031  0.04239 *  
## Household_1_CA_2.l4  -0.0101715  0.0306517  -0.332  0.74005    
## Household_2_CA_2.l4  -0.0616158  0.0386210  -1.595  0.11079    
## Foods_1_CA_2.l4       0.0144651  0.0466706   0.310  0.75664    
## Foods_2_CA_2.l4       0.0030573  0.0337016   0.091  0.92773    
## Foods_3_CA_2.l4       0.0123692  0.0092348   1.339  0.18060    
## Hobbies_CA_2.l5       0.0163569  0.0160320   1.020  0.30773    
## Household_1_CA_2.l5  -0.0478725  0.0306561  -1.562  0.11855    
## Household_2_CA_2.l5   0.0082348  0.0387533   0.212  0.83175    
## Foods_1_CA_2.l5       0.0267581  0.0470466   0.569  0.56959    
## Foods_2_CA_2.l5       0.0223302  0.0336645   0.663  0.50721    
## Foods_3_CA_2.l5       0.0006837  0.0092603   0.074  0.94115    
## Hobbies_CA_2.l6       0.0064880  0.0159769   0.406  0.68473    
## Household_1_CA_2.l6  -0.0403490  0.0306659  -1.316  0.18842    
## Household_2_CA_2.l6   0.0037853  0.0387375   0.098  0.92217    
## Foods_1_CA_2.l6       0.1333993  0.0469695   2.840  0.00456 ** 
## Foods_2_CA_2.l6       0.0702181  0.0336209   2.089  0.03689 *  
## Foods_3_CA_2.l6      -0.0040605  0.0092806  -0.438  0.66178    
## Hobbies_CA_2.l7      -0.0031440  0.0159519  -0.197  0.84378    
## Household_1_CA_2.l7   0.0933228  0.0306758   3.042  0.00238 ** 
## Household_2_CA_2.l7   0.0306824  0.0386777   0.793  0.42771    
## Foods_1_CA_2.l7       0.0138764  0.0472733   0.294  0.76914    
## Foods_2_CA_2.l7       0.1399528  0.0336913   4.154 3.41e-05 ***
## Foods_3_CA_2.l7       0.0063833  0.0092971   0.687  0.49243    
## Hobbies_CA_2.l8      -0.0024723  0.0159326  -0.155  0.87670    
## Household_1_CA_2.l8  -0.0956835  0.0310559  -3.081  0.00209 ** 
## Household_2_CA_2.l8   0.0571708  0.0386108   1.481  0.13886    
## Foods_1_CA_2.l8      -0.0535156  0.0472904  -1.132  0.25793    
## Foods_2_CA_2.l8      -0.0040233  0.0336546  -0.120  0.90486    
## Foods_3_CA_2.l8       0.0072969  0.0093001   0.785  0.43279    
## Hobbies_CA_2.l9       0.0131165  0.0158705   0.826  0.40864    
## Household_1_CA_2.l9  -0.0297485  0.0311202  -0.956  0.33924    
## Household_2_CA_2.l9  -0.0805785  0.0386799  -2.083  0.03737 *  
## Foods_1_CA_2.l9       0.0349640  0.0469958   0.744  0.45698    
## Foods_2_CA_2.l9      -0.0393877  0.0335660  -1.173  0.24077    
## Foods_3_CA_2.l9       0.0113867  0.0093086   1.223  0.22139    
## Hobbies_CA_2.l10      0.0316802  0.0158191   2.003  0.04536 *  
## Household_1_CA_2.l10  0.0328947  0.0311307   1.057  0.29080    
## Household_2_CA_2.l10  0.0228280  0.0387889   0.589  0.55625    
## Foods_1_CA_2.l10      0.0294667  0.0470920   0.626  0.53157    
## Foods_2_CA_2.l10      0.0601242  0.0335481   1.792  0.07327 .  
## Foods_3_CA_2.l10     -0.0144169  0.0093063  -1.549  0.12151    
## Hobbies_CA_2.l11      0.0064042  0.0157639   0.406  0.68460    
## Household_1_CA_2.l11  0.0133832  0.0311311   0.430  0.66732    
## Household_2_CA_2.l11  0.0024021  0.0387352   0.062  0.95056    
## Foods_1_CA_2.l11     -0.0754671  0.0470300  -1.605  0.10874    
## Foods_2_CA_2.l11      0.0359209  0.0335185   1.072  0.28400    
## Foods_3_CA_2.l11     -0.0149017  0.0092954  -1.603  0.10908    
## Hobbies_CA_2.l12      0.0308299  0.0157038   1.963  0.04977 *  
## Household_1_CA_2.l12 -0.0194560  0.0311117  -0.625  0.53181    
## Household_2_CA_2.l12  0.0167631  0.0385886   0.434  0.66404    
## Foods_1_CA_2.l12     -0.0610794  0.0470366  -1.299  0.19426    
## Foods_2_CA_2.l12      0.0079865  0.0334476   0.239  0.81130    
## Foods_3_CA_2.l12      0.0005111  0.0092930   0.055  0.95615    
## Hobbies_CA_2.l13     -0.0165970  0.0156575  -1.060  0.28928    
## Household_1_CA_2.l13  0.0444449  0.0309273   1.437  0.15086    
## Household_2_CA_2.l13 -0.0647814  0.0384512  -1.685  0.09220 .  
## Foods_1_CA_2.l13      0.0954594  0.0467726   2.041  0.04140 *  
## Foods_2_CA_2.l13      0.0467725  0.0333601   1.402  0.16107    
## Foods_3_CA_2.l13      0.0062066  0.0092846   0.668  0.50390    
## Hobbies_CA_2.l14     -0.0074040  0.0155734  -0.475  0.63454    
## Household_1_CA_2.l14  0.0661770  0.0299626   2.209  0.02732 *  
## Household_2_CA_2.l14  0.1137767  0.0378881   3.003  0.00271 ** 
## Foods_1_CA_2.l14     -0.0150681  0.0450970  -0.334  0.73832    
## Foods_2_CA_2.l14      0.0272902  0.0322935   0.845  0.39818    
## Foods_3_CA_2.l14      0.0106443  0.0089060   1.195  0.23216    
## const                22.9007202  8.3084151   2.756  0.00590 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 31.08 on 1870 degrees of freedom
## Multiple R-Squared: 0.7484,  Adjusted R-squared: 0.7371 
## F-statistic: 66.24 on 84 and 1870 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Foods_3_CA_2: 
## ============================================= 
## Foods_3_CA_2 = Hobbies_CA_2.l1 + Household_1_CA_2.l1 + Household_2_CA_2.l1 + Foods_1_CA_2.l1 + Foods_2_CA_2.l1 + Foods_3_CA_2.l1 + Hobbies_CA_2.l2 + Household_1_CA_2.l2 + Household_2_CA_2.l2 + Foods_1_CA_2.l2 + Foods_2_CA_2.l2 + Foods_3_CA_2.l2 + Hobbies_CA_2.l3 + Household_1_CA_2.l3 + Household_2_CA_2.l3 + Foods_1_CA_2.l3 + Foods_2_CA_2.l3 + Foods_3_CA_2.l3 + Hobbies_CA_2.l4 + Household_1_CA_2.l4 + Household_2_CA_2.l4 + Foods_1_CA_2.l4 + Foods_2_CA_2.l4 + Foods_3_CA_2.l4 + Hobbies_CA_2.l5 + Household_1_CA_2.l5 + Household_2_CA_2.l5 + Foods_1_CA_2.l5 + Foods_2_CA_2.l5 + Foods_3_CA_2.l5 + Hobbies_CA_2.l6 + Household_1_CA_2.l6 + Household_2_CA_2.l6 + Foods_1_CA_2.l6 + Foods_2_CA_2.l6 + Foods_3_CA_2.l6 + Hobbies_CA_2.l7 + Household_1_CA_2.l7 + Household_2_CA_2.l7 + Foods_1_CA_2.l7 + Foods_2_CA_2.l7 + Foods_3_CA_2.l7 + Hobbies_CA_2.l8 + Household_1_CA_2.l8 + Household_2_CA_2.l8 + Foods_1_CA_2.l8 + Foods_2_CA_2.l8 + Foods_3_CA_2.l8 + Hobbies_CA_2.l9 + Household_1_CA_2.l9 + Household_2_CA_2.l9 + Foods_1_CA_2.l9 + Foods_2_CA_2.l9 + Foods_3_CA_2.l9 + Hobbies_CA_2.l10 + Household_1_CA_2.l10 + Household_2_CA_2.l10 + Foods_1_CA_2.l10 + Foods_2_CA_2.l10 + Foods_3_CA_2.l10 + Hobbies_CA_2.l11 + Household_1_CA_2.l11 + Household_2_CA_2.l11 + Foods_1_CA_2.l11 + Foods_2_CA_2.l11 + Foods_3_CA_2.l11 + Hobbies_CA_2.l12 + Household_1_CA_2.l12 + Household_2_CA_2.l12 + Foods_1_CA_2.l12 + Foods_2_CA_2.l12 + Foods_3_CA_2.l12 + Hobbies_CA_2.l13 + Household_1_CA_2.l13 + Household_2_CA_2.l13 + Foods_1_CA_2.l13 + Foods_2_CA_2.l13 + Foods_3_CA_2.l13 + Hobbies_CA_2.l14 + Household_1_CA_2.l14 + Household_2_CA_2.l14 + Foods_1_CA_2.l14 + Foods_2_CA_2.l14 + Foods_3_CA_2.l14 + const 
## 
##                       Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_2.l1       0.122894   0.069192   1.776 0.075872 .  
## Household_1_CA_2.l1  -0.249754   0.129040  -1.935 0.053082 .  
## Household_2_CA_2.l1  -0.087251   0.165580  -0.527 0.598296    
## Foods_1_CA_2.l1      -0.038955   0.195442  -0.199 0.842038    
## Foods_2_CA_2.l1       0.321975   0.141601   2.274 0.023090 *  
## Foods_3_CA_2.l1       0.269256   0.038542   6.986 3.92e-12 ***
## Hobbies_CA_2.l2      -0.137485   0.069272  -1.985 0.047324 *  
## Household_1_CA_2.l2  -0.389393   0.132488  -2.939 0.003332 ** 
## Household_2_CA_2.l2  -0.280485   0.167226  -1.677 0.093654 .  
## Foods_1_CA_2.l2       0.002303   0.202933   0.011 0.990945    
## Foods_2_CA_2.l2      -0.109822   0.146012  -0.752 0.452057    
## Foods_3_CA_2.l2       0.114352   0.039972   2.861 0.004273 ** 
## Hobbies_CA_2.l3      -0.092956   0.069513  -1.337 0.181308    
## Household_1_CA_2.l3   0.382995   0.133378   2.871 0.004131 ** 
## Household_2_CA_2.l3  -0.070612   0.167676  -0.421 0.673717    
## Foods_1_CA_2.l3       0.320305   0.203687   1.573 0.115995    
## Foods_2_CA_2.l3      -0.185171   0.146862  -1.261 0.207520    
## Foods_3_CA_2.l3      -0.014049   0.040242  -0.349 0.727036    
## Hobbies_CA_2.l4      -0.093233   0.069806  -1.336 0.181841    
## Household_1_CA_2.l4  -0.114103   0.133713  -0.853 0.393579    
## Household_2_CA_2.l4  -0.448678   0.168478  -2.663 0.007808 ** 
## Foods_1_CA_2.l4       0.154806   0.203593   0.760 0.447129    
## Foods_2_CA_2.l4      -0.255914   0.147018  -1.741 0.081901 .  
## Foods_3_CA_2.l4       0.103066   0.040286   2.558 0.010594 *  
## Hobbies_CA_2.l5       0.065752   0.069937   0.940 0.347258    
## Household_1_CA_2.l5  -0.246094   0.133733  -1.840 0.065898 .  
## Household_2_CA_2.l5  -0.205829   0.169055  -1.218 0.223559    
## Foods_1_CA_2.l5      -0.049202   0.205233  -0.240 0.810559    
## Foods_2_CA_2.l5      -0.092865   0.146856  -0.632 0.527232    
## Foods_3_CA_2.l5       0.059342   0.040397   1.469 0.142003    
## Hobbies_CA_2.l6       0.037711   0.069697   0.541 0.588521    
## Household_1_CA_2.l6  -0.015053   0.133775  -0.113 0.910422    
## Household_2_CA_2.l6  -0.135039   0.168986  -0.799 0.424327    
## Foods_1_CA_2.l6       0.188324   0.204897   0.919 0.358154    
## Foods_2_CA_2.l6       0.021964   0.146666   0.150 0.880973    
## Foods_3_CA_2.l6       0.041507   0.040485   1.025 0.305381    
## Hobbies_CA_2.l7      -0.047891   0.069587  -0.688 0.491405    
## Household_1_CA_2.l7   0.692235   0.133818   5.173 2.55e-07 ***
## Household_2_CA_2.l7   0.123736   0.168726   0.733 0.463433    
## Foods_1_CA_2.l7       0.258683   0.206222   1.254 0.209857    
## Foods_2_CA_2.l7      -0.020800   0.146973  -0.142 0.887474    
## Foods_3_CA_2.l7       0.154989   0.040557   3.821 0.000137 ***
## Hobbies_CA_2.l8      -0.005439   0.069504  -0.078 0.937630    
## Household_1_CA_2.l8  -0.341512   0.135477  -2.521 0.011791 *  
## Household_2_CA_2.l8   0.282750   0.168434   1.679 0.093377 .  
## Foods_1_CA_2.l8      -0.156965   0.206297  -0.761 0.446830    
## Foods_2_CA_2.l8      -0.067367   0.146813  -0.459 0.646385    
## Foods_3_CA_2.l8       0.054572   0.040570   1.345 0.178746    
## Hobbies_CA_2.l9       0.056490   0.069233   0.816 0.414634    
## Household_1_CA_2.l9  -0.337514   0.135757  -2.486 0.013000 *  
## Household_2_CA_2.l9  -0.344565   0.168735  -2.042 0.041287 *  
## Foods_1_CA_2.l9       0.153231   0.205012   0.747 0.454901    
## Foods_2_CA_2.l9      -0.142966   0.146427  -0.976 0.329008    
## Foods_3_CA_2.l9       0.049283   0.040607   1.214 0.225034    
## Hobbies_CA_2.l10      0.103445   0.069008   1.499 0.134037    
## Household_1_CA_2.l10  0.204194   0.135803   1.504 0.132852    
## Household_2_CA_2.l10  0.041765   0.169211   0.247 0.805073    
## Foods_1_CA_2.l10     -0.059101   0.205431  -0.288 0.773614    
## Foods_2_CA_2.l10      0.292315   0.146348   1.997 0.045927 *  
## Foods_3_CA_2.l10     -0.086024   0.040597  -2.119 0.034224 *  
## Hobbies_CA_2.l11      0.015174   0.068767   0.221 0.825385    
## Household_1_CA_2.l11  0.037548   0.135805   0.276 0.782205    
## Household_2_CA_2.l11  0.058472   0.168976   0.346 0.729352    
## Foods_1_CA_2.l11     -0.252842   0.205161  -1.232 0.217953    
## Foods_2_CA_2.l11     -0.025903   0.146219  -0.177 0.859410    
## Foods_3_CA_2.l11     -0.005441   0.040550  -0.134 0.893272    
## Hobbies_CA_2.l12      0.115210   0.068506   1.682 0.092781 .  
## Household_1_CA_2.l12 -0.041095   0.135720  -0.303 0.762082    
## Household_2_CA_2.l12  0.222599   0.168337   1.322 0.186214    
## Foods_1_CA_2.l12     -0.222850   0.205190  -1.086 0.277589    
## Foods_2_CA_2.l12      0.179980   0.145910   1.233 0.217545    
## Foods_3_CA_2.l12     -0.038862   0.040539  -0.959 0.337871    
## Hobbies_CA_2.l13     -0.044295   0.068303  -0.649 0.516733    
## Household_1_CA_2.l13  0.151132   0.134915   1.120 0.262771    
## Household_2_CA_2.l13  0.116190   0.167737   0.693 0.488590    
## Foods_1_CA_2.l13      0.264814   0.204038   1.298 0.194494    
## Foods_2_CA_2.l13     -0.065853   0.145528  -0.453 0.650955    
## Foods_3_CA_2.l13      0.056810   0.040503   1.403 0.160897    
## Hobbies_CA_2.l14     -0.013828   0.067937  -0.204 0.838729    
## Household_1_CA_2.l14  0.461091   0.130707   3.528 0.000429 ***
## Household_2_CA_2.l14  0.456978   0.165281   2.765 0.005751 ** 
## Foods_1_CA_2.l14     -0.093455   0.196729  -0.475 0.634811    
## Foods_2_CA_2.l14     -0.039086   0.140875  -0.277 0.781467    
## Foods_3_CA_2.l14      0.150794   0.038851   3.881 0.000107 ***
## const                81.780123  36.244153   2.256 0.024163 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 135.6 on 1870 degrees of freedom
## Multiple R-Squared: 0.8372,  Adjusted R-squared: 0.8298 
## F-statistic: 114.4 on 84 and 1870 DF,  p-value: < 2.2e-16 
## 
## 
## 
## Covariance matrix of residuals:
##                  Hobbies_CA_2 Household_1_CA_2 Household_2_CA_2 Foods_1_CA_2
## Hobbies_CA_2           2354.1            419.2            322.6        178.5
## Household_1_CA_2        419.2            948.7            352.1        192.1
## Household_2_CA_2        322.6            352.1            535.9        120.0
## Foods_1_CA_2            178.5            192.1            120.0        307.0
## Foods_2_CA_2            381.9            376.4            265.4        157.3
## Foods_3_CA_2           2215.6           2380.1           1659.3        956.8
##                  Foods_2_CA_2 Foods_3_CA_2
## Hobbies_CA_2            381.9       2215.6
## Household_1_CA_2        376.4       2380.1
## Household_2_CA_2        265.4       1659.3
## Foods_1_CA_2            157.3        956.8
## Foods_2_CA_2            966.1       2961.7
## Foods_3_CA_2           2961.7      18385.0
## 
## Correlation matrix of residuals:
##                  Hobbies_CA_2 Household_1_CA_2 Household_2_CA_2 Foods_1_CA_2
## Hobbies_CA_2           1.0000           0.2805           0.2873       0.2100
## Household_1_CA_2       0.2805           1.0000           0.4938       0.3561
## Household_2_CA_2       0.2873           0.4938           1.0000       0.2957
## Foods_1_CA_2           0.2100           0.3561           0.2957       1.0000
## Foods_2_CA_2           0.2533           0.3932           0.3689       0.2888
## Foods_3_CA_2           0.3368           0.5699           0.5286       0.4027
##                  Foods_2_CA_2 Foods_3_CA_2
## Hobbies_CA_2           0.2533       0.3368
## Household_1_CA_2       0.3932       0.5699
## Household_2_CA_2       0.3689       0.5286
## Foods_1_CA_2           0.2888       0.4027
## Foods_2_CA_2           1.0000       0.7027
## Foods_3_CA_2           0.7027       1.0000
Serial2 <- serial.test(Model2, lags.pt = 5, type = "PT.asymptotic")
## Warning in pchisq(STATISTIC, df = PARAMETER): NaNs produced
## Warning in pchisq(STATISTIC, df = PARAMETER): NaNs produced
Serial2
## 
##  Portmanteau Test (asymptotic)
## 
## data:  Residuals of VAR object Model2
## Chi-squared = 9.4965, df = -324, p-value = NA
Arch2 <- arch.test(Model2, lags.multi = 15, multivariate.only = TRUE)
Arch2
## 
##  ARCH (multivariate)
## 
## data:  Residuals of VAR object Model2
## Chi-squared = 9069, df = 6615, p-value < 2.2e-16
Norm2 <- normality.test(Model2, multivariate.only = TRUE)
Norm2
## $JB
## 
##  JB-Test (multivariate)
## 
## data:  Residuals of VAR object Model2
## Chi-squared = 7962.1, df = 12, p-value < 2.2e-16
## 
## 
## $Skewness
## 
##  Skewness only (multivariate)
## 
## data:  Residuals of VAR object Model2
## Chi-squared = 208.05, df = 6, p-value < 2.2e-16
## 
## 
## $Kurtosis
## 
##  Kurtosis only (multivariate)
## 
## data:  Residuals of VAR object Model2
## Chi-squared = 7754, df = 6, p-value < 2.2e-16
Stability2 <- stability(Model2, type = "OLS-CUSUM")
plot(Stability2)

forecast <- predict(Model2, n.ahead = 28, ci = 0.95)
fanchart(forecast, names = "Hobbies_CA_2", main = "Fanchart for Hobbies_CA_2", xlab = "Horizon", ylab = "Hobbies_CA_2")

fanchart(forecast, names = "Household_1_CA_2", main = "Fanchart for Household_1_CA_2", xlab = "Horizon", ylab = "Household_1_CA_2")

fanchart(forecast, names = "Household_2_CA_2", main = "Fanchart for Household_2_CA_2", xlab = "Horizon", ylab = "Household_2_CA_2")

fanchart(forecast, names = "Foods_1_CA_2", main = "Fanchart for Foods_1_CA_2", xlab = "Horizon", ylab = "Foods_1_CA_2")

fanchart(forecast, names = "Foods_2_CA_2", main = "Fanchart for Foods_2_CA_2", xlab = "Horizon", ylab = "Foods_2_CA_2")

fanchart(forecast, names = "Foods_3_CA_2", main = "Fanchart for Foods_3_CA_2", xlab = "Horizon", ylab = "Foods_3_CA_2")

result_2 = forecast$fcst$Hobbies_CA_2+forecast$fcst$Household_1_CA_2+forecast$fcst$Household_2_CA_2+forecast$fcst$Foods_1_CA_2+forecast$fcst$Foods_2_CA_2+forecast$fcst$Foods_3_CA_2
print(result_2)
##           fcst    lower    upper       CI
##  [1,] 2662.320 2100.468 3224.172 561.8521
##  [2,] 2365.248 1784.368 2946.128 580.8799
##  [3,] 2415.566 1829.061 3002.071 586.5049
##  [4,] 2405.005 1816.252 2993.758 588.7529
##  [5,] 2879.674 2287.486 3471.861 592.1875
##  [6,] 3784.781 3189.025 4380.537 595.7563
##  [7,] 3729.051 3129.528 4328.574 599.5232
##  [8,] 2791.911 2163.366 3420.457 628.5456
##  [9,] 2421.387 1784.564 3058.210 636.8232
## [10,] 2458.157 1816.112 3100.201 642.0443
## [11,] 2378.539 1734.850 3022.227 643.6883
## [12,] 2851.284 2206.057 3496.510 645.2264
## [13,] 3620.558 2973.393 4267.724 647.1658
## [14,] 3594.063 2941.791 4246.336 652.2727
## [15,] 2775.879 2081.654 3470.103 694.2244
## [16,] 2419.428 1715.857 3122.999 703.5713
## [17,] 2438.856 1732.595 3145.116 706.2605
## [18,] 2435.407 1727.846 3142.969 707.5613
## [19,] 2848.025 2139.095 3556.955 708.9299
## [20,] 3616.850 2906.226 4327.474 710.6241
## [21,] 3590.482 2876.319 4304.644 714.1629
## [22,] 2841.560 2105.176 3577.945 736.3844
## [23,] 2458.346 1714.363 3202.328 743.9823
## [24,] 2456.585 1709.880 3203.290 746.7050
## [25,] 2436.402 1688.364 3184.440 748.0383
## [26,] 2848.881 2099.719 3598.043 749.1619
## [27,] 3547.027 2796.703 4297.350 750.3234
## [28,] 3534.790 2780.736 4288.843 754.0534

Analysis for the second store CA_3

We repeat the steps above except some parameters to get forecasts for CA_3.

Hobbies_CA_3 <- ts(sales$Hobbies_CA_3, start = c(2011,1,29), frequency = 365.25)
Household_1_CA_3 <- ts(sales$Household_1_CA_3, start = c(2011,1,29), frequency = 365.25)
Household_2_CA_3 <- ts(sales$Household_2_CA_3, start = c(2011,1,29), frequency = 365.25)
Foods_1_CA_3 <- ts(sales$Foods_1_CA_3, start = c(2011,1,29), frequency = 365.25)
Foods_2_CA_3 <- ts(sales$Foods_2_CA_3, start = c(2011,1,29), frequency = 365.25)
Foods_3_CA_3 <- ts(sales$Foods_3_CA_3, start = c(2011,1,29), frequency = 365.25)
ts_plot(Hobbies_CA_3)
ts_plot(Household_1_CA_3)
ts_plot(Household_2_CA_3)
ts_plot(Foods_1_CA_3)
ts_plot(Foods_2_CA_3)
ts_plot(Foods_3_CA_3)
pp.test(Hobbies_CA_3)
## Warning in pp.test(Hobbies_CA_3): p-value smaller than printed p-value
## 
##  Phillips-Perron Unit Root Test
## 
## data:  Hobbies_CA_3
## Dickey-Fuller Z(alpha) = -1583.1, Truncation lag parameter = 8, p-value
## = 0.01
## alternative hypothesis: stationary
pp.test(Household_1_CA_3)
## Warning in pp.test(Household_1_CA_3): p-value smaller than printed p-value
## 
##  Phillips-Perron Unit Root Test
## 
## data:  Household_1_CA_3
## Dickey-Fuller Z(alpha) = -889.23, Truncation lag parameter = 8, p-value
## = 0.01
## alternative hypothesis: stationary
pp.test(Household_2_CA_3)
## Warning in pp.test(Household_2_CA_3): p-value smaller than printed p-value
## 
##  Phillips-Perron Unit Root Test
## 
## data:  Household_2_CA_3
## Dickey-Fuller Z(alpha) = -1134.2, Truncation lag parameter = 8, p-value
## = 0.01
## alternative hypothesis: stationary
pp.test(Foods_1_CA_3)
## Warning in pp.test(Foods_1_CA_3): p-value smaller than printed p-value
## 
##  Phillips-Perron Unit Root Test
## 
## data:  Foods_1_CA_3
## Dickey-Fuller Z(alpha) = -946.75, Truncation lag parameter = 8, p-value
## = 0.01
## alternative hypothesis: stationary
pp.test(Foods_2_CA_3)
## Warning in pp.test(Foods_2_CA_3): p-value smaller than printed p-value
## 
##  Phillips-Perron Unit Root Test
## 
## data:  Foods_2_CA_3
## Dickey-Fuller Z(alpha) = -515.39, Truncation lag parameter = 8, p-value
## = 0.01
## alternative hypothesis: stationary
pp.test(Foods_3_CA_3)
## Warning in pp.test(Foods_3_CA_3): p-value smaller than printed p-value
## 
##  Phillips-Perron Unit Root Test
## 
## data:  Foods_3_CA_3
## Dickey-Fuller Z(alpha) = -620.44, Truncation lag parameter = 8, p-value
## = 0.01
## alternative hypothesis: stationary
v3 <- cbind(Hobbies_CA_3, Household_1_CA_3, Household_2_CA_3, Foods_1_CA_3, Foods_2_CA_3, Foods_3_CA_3)
colnames(v3) <- cbind("Hobbies_CA_3","Household_1_CA_3","Household_2_CA_3", "Foods_1_CA_3", 'Foods_2_CA_3', 'Foods_3_CA_3')
lagselect <- VARselect(v3, lag.max = 60, type = "const")
lagselect$selection
## AIC(n)  HQ(n)  SC(n) FPE(n) 
##     14      7      7     14
Model3 <- VAR(v3, p = 14, type = "const", season = NULL, exog = NULL) 
summary(Model3)
## 
## VAR Estimation Results:
## ========================= 
## Endogenous variables: Hobbies_CA_3, Household_1_CA_3, Household_2_CA_3, Foods_1_CA_3, Foods_2_CA_3, Foods_3_CA_3 
## Deterministic variables: const 
## Sample size: 1955 
## Log Likelihood: -62907.549 
## Roots of the characteristic polynomial:
## 0.9958 0.9917 0.9917 0.9852 0.9852 0.9771 0.9635 0.9635 0.9485 0.9311 0.9311 0.9031 0.9031 0.8913 0.8889 0.8889 0.8874 0.8874 0.8829 0.8829 0.8785 0.8785 0.875 0.875 0.8699 0.8699 0.8623 0.8623 0.8617 0.8617 0.8589 0.8589 0.8587 0.8587 0.8532 0.8532 0.8529 0.8529 0.8496 0.8496 0.8373 0.8373 0.8365 0.8365 0.8362 0.8362  0.83  0.83 0.8286 0.8257 0.8257 0.824 0.824 0.8209 0.8209 0.8147 0.8147 0.8133 0.8133 0.8127 0.8127 0.8121 0.8121 0.808 0.808 0.8077 0.8077 0.7947 0.7947 0.7947 0.7947 0.793 0.793 0.7853 0.7853 0.7837 0.7837 0.757 0.6854 0.6854 0.643 0.643 0.4499 0.4206
## Call:
## VAR(y = v3, p = 14, type = "const", exogen = NULL)
## 
## 
## Estimation results for equation Hobbies_CA_3: 
## ============================================= 
## Hobbies_CA_3 = Hobbies_CA_3.l1 + Household_1_CA_3.l1 + Household_2_CA_3.l1 + Foods_1_CA_3.l1 + Foods_2_CA_3.l1 + Foods_3_CA_3.l1 + Hobbies_CA_3.l2 + Household_1_CA_3.l2 + Household_2_CA_3.l2 + Foods_1_CA_3.l2 + Foods_2_CA_3.l2 + Foods_3_CA_3.l2 + Hobbies_CA_3.l3 + Household_1_CA_3.l3 + Household_2_CA_3.l3 + Foods_1_CA_3.l3 + Foods_2_CA_3.l3 + Foods_3_CA_3.l3 + Hobbies_CA_3.l4 + Household_1_CA_3.l4 + Household_2_CA_3.l4 + Foods_1_CA_3.l4 + Foods_2_CA_3.l4 + Foods_3_CA_3.l4 + Hobbies_CA_3.l5 + Household_1_CA_3.l5 + Household_2_CA_3.l5 + Foods_1_CA_3.l5 + Foods_2_CA_3.l5 + Foods_3_CA_3.l5 + Hobbies_CA_3.l6 + Household_1_CA_3.l6 + Household_2_CA_3.l6 + Foods_1_CA_3.l6 + Foods_2_CA_3.l6 + Foods_3_CA_3.l6 + Hobbies_CA_3.l7 + Household_1_CA_3.l7 + Household_2_CA_3.l7 + Foods_1_CA_3.l7 + Foods_2_CA_3.l7 + Foods_3_CA_3.l7 + Hobbies_CA_3.l8 + Household_1_CA_3.l8 + Household_2_CA_3.l8 + Foods_1_CA_3.l8 + Foods_2_CA_3.l8 + Foods_3_CA_3.l8 + Hobbies_CA_3.l9 + Household_1_CA_3.l9 + Household_2_CA_3.l9 + Foods_1_CA_3.l9 + Foods_2_CA_3.l9 + Foods_3_CA_3.l9 + Hobbies_CA_3.l10 + Household_1_CA_3.l10 + Household_2_CA_3.l10 + Foods_1_CA_3.l10 + Foods_2_CA_3.l10 + Foods_3_CA_3.l10 + Hobbies_CA_3.l11 + Household_1_CA_3.l11 + Household_2_CA_3.l11 + Foods_1_CA_3.l11 + Foods_2_CA_3.l11 + Foods_3_CA_3.l11 + Hobbies_CA_3.l12 + Household_1_CA_3.l12 + Household_2_CA_3.l12 + Foods_1_CA_3.l12 + Foods_2_CA_3.l12 + Foods_3_CA_3.l12 + Hobbies_CA_3.l13 + Household_1_CA_3.l13 + Household_2_CA_3.l13 + Foods_1_CA_3.l13 + Foods_2_CA_3.l13 + Foods_3_CA_3.l13 + Hobbies_CA_3.l14 + Household_1_CA_3.l14 + Household_2_CA_3.l14 + Foods_1_CA_3.l14 + Foods_2_CA_3.l14 + Foods_3_CA_3.l14 + const 
## 
##                        Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_3.l1       0.1078292  0.0253667   4.251 2.23e-05 ***
## Household_1_CA_3.l1   0.1249589  0.0397507   3.144 0.001695 ** 
## Household_2_CA_3.l1   0.0101571  0.0712250   0.143 0.886617    
## Foods_1_CA_3.l1       0.0448363  0.0566037   0.792 0.428397    
## Foods_2_CA_3.l1      -0.0304260  0.0273333  -1.113 0.265788    
## Foods_3_CA_3.l1      -0.0013975  0.0099658  -0.140 0.888494    
## Hobbies_CA_3.l2       0.0598512  0.0255100   2.346 0.019071 *  
## Household_1_CA_3.l2  -0.0854960  0.0420798  -2.032 0.042319 *  
## Household_2_CA_3.l2   0.0097944  0.0720621   0.136 0.891903    
## Foods_1_CA_3.l2       0.0121618  0.0596412   0.204 0.838442    
## Foods_2_CA_3.l2       0.0304386  0.0299614   1.016 0.309795    
## Foods_3_CA_3.l2      -0.0154551  0.0108534  -1.424 0.154616    
## Hobbies_CA_3.l3       0.0380281  0.0254936   1.492 0.135954    
## Household_1_CA_3.l3   0.0129971  0.0423162   0.307 0.758769    
## Household_2_CA_3.l3  -0.0356298  0.0722133  -0.493 0.621790    
## Foods_1_CA_3.l3       0.0320664  0.0598227   0.536 0.592005    
## Foods_2_CA_3.l3       0.0013125  0.0301619   0.044 0.965297    
## Foods_3_CA_3.l3      -0.0141360  0.0109414  -1.292 0.196524    
## Hobbies_CA_3.l4       0.1428311  0.0254922   5.603 2.42e-08 ***
## Household_1_CA_3.l4  -0.0919537  0.0422882  -2.174 0.029796 *  
## Household_2_CA_3.l4  -0.0300642  0.0723446  -0.416 0.677773    
## Foods_1_CA_3.l4       0.0543119  0.0597170   0.909 0.363210    
## Foods_2_CA_3.l4      -0.0093712  0.0301816  -0.310 0.756221    
## Foods_3_CA_3.l4       0.0057894  0.0109370   0.529 0.596629    
## Hobbies_CA_3.l5       0.0512510  0.0257438   1.991 0.046647 *  
## Household_1_CA_3.l5  -0.0003018  0.0423101  -0.007 0.994310    
## Household_2_CA_3.l5  -0.0944580  0.0724181  -1.304 0.192277    
## Foods_1_CA_3.l5      -0.0159101  0.0595431  -0.267 0.789343    
## Foods_2_CA_3.l5       0.0225820  0.0302108   0.747 0.454867    
## Foods_3_CA_3.l5      -0.0168201  0.0109554  -1.535 0.124873    
## Hobbies_CA_3.l6       0.0362691  0.0257359   1.409 0.158919    
## Household_1_CA_3.l6   0.0853077  0.0423413   2.015 0.044072 *  
## Household_2_CA_3.l6   0.0595226  0.0725039   0.821 0.411775    
## Foods_1_CA_3.l6      -0.0233584  0.0597360  -0.391 0.695822    
## Foods_2_CA_3.l6      -0.0194571  0.0302020  -0.644 0.519504    
## Foods_3_CA_3.l6       0.0028358  0.0109623   0.259 0.795902    
## Hobbies_CA_3.l7       0.0772489  0.0257789   2.997 0.002766 ** 
## Household_1_CA_3.l7   0.0270657  0.0424301   0.638 0.523624    
## Household_2_CA_3.l7   0.1109995  0.0732438   1.515 0.129820    
## Foods_1_CA_3.l7       0.0417730  0.0597809   0.699 0.484784    
## Foods_2_CA_3.l7       0.0014725  0.0302403   0.049 0.961170    
## Foods_3_CA_3.l7       0.0088787  0.0109649   0.810 0.418196    
## Hobbies_CA_3.l8       0.0091717  0.0258175   0.355 0.722441    
## Household_1_CA_3.l8  -0.0212684  0.0423204  -0.503 0.615334    
## Household_2_CA_3.l8  -0.0595685  0.0733135  -0.813 0.416599    
## Foods_1_CA_3.l8      -0.0869020  0.0597331  -1.455 0.145882    
## Foods_2_CA_3.l8       0.0288233  0.0302521   0.953 0.340830    
## Foods_3_CA_3.l8      -0.0008353  0.0109448  -0.076 0.939174    
## Hobbies_CA_3.l9       0.0200348  0.0257665   0.778 0.436933    
## Household_1_CA_3.l9   0.0340528  0.0422103   0.807 0.419918    
## Household_2_CA_3.l9  -0.0749760  0.0726921  -1.031 0.302478    
## Foods_1_CA_3.l9      -0.0950322  0.0598673  -1.587 0.112595    
## Foods_2_CA_3.l9       0.0012740  0.0302459   0.042 0.966407    
## Foods_3_CA_3.l9      -0.0017667  0.0108851  -0.162 0.871083    
## Hobbies_CA_3.l10      0.0030183  0.0257160   0.117 0.906578    
## Household_1_CA_3.l10  0.0118028  0.0421128   0.280 0.779304    
## Household_2_CA_3.l10  0.0328373  0.0726614   0.452 0.651377    
## Foods_1_CA_3.l10      0.0435657  0.0594228   0.733 0.463560    
## Foods_2_CA_3.l10     -0.0290805  0.0302605  -0.961 0.336673    
## Foods_3_CA_3.l10      0.0140362  0.0108858   1.289 0.197416    
## Hobbies_CA_3.l11      0.0103409  0.0254837   0.406 0.684948    
## Household_1_CA_3.l11 -0.0106866  0.0419817  -0.255 0.799097    
## Household_2_CA_3.l11 -0.1134404  0.0725857  -1.563 0.118257    
## Foods_1_CA_3.l11     -0.0038658  0.0593414  -0.065 0.948065    
## Foods_2_CA_3.l11      0.0098142  0.0302202   0.325 0.745403    
## Foods_3_CA_3.l11     -0.0005991  0.0108834  -0.055 0.956109    
## Hobbies_CA_3.l12      0.0604292  0.0254348   2.376 0.017609 *  
## Household_1_CA_3.l12 -0.0128400  0.0419582  -0.306 0.759625    
## Household_2_CA_3.l12  0.0456068  0.0726052   0.628 0.529984    
## Foods_1_CA_3.l12     -0.0260148  0.0593269  -0.438 0.661075    
## Foods_2_CA_3.l12     -0.0210832  0.0301786  -0.699 0.484879    
## Foods_3_CA_3.l12     -0.0045315  0.0108550  -0.417 0.676390    
## Hobbies_CA_3.l13      0.0583831  0.0253810   2.300 0.021543 *  
## Household_1_CA_3.l13  0.0498110  0.0417608   1.193 0.233111    
## Household_2_CA_3.l13  0.0562088  0.0721999   0.779 0.436363    
## Foods_1_CA_3.l13      0.0042472  0.0586220   0.072 0.942251    
## Foods_2_CA_3.l13      0.0046431  0.0300762   0.154 0.877329    
## Foods_3_CA_3.l13      0.0047400  0.0107717   0.440 0.659961    
## Hobbies_CA_3.l14      0.1172453  0.0251303   4.665 3.30e-06 ***
## Household_1_CA_3.l14  0.0371294  0.0393607   0.943 0.345644    
## Household_2_CA_3.l14  0.1667230  0.0707317   2.357 0.018520 *  
## Foods_1_CA_3.l14     -0.0510024  0.0552634  -0.923 0.356180    
## Foods_2_CA_3.l14     -0.0035134  0.0272893  -0.129 0.897571    
## Foods_3_CA_3.l14      0.0040240  0.0098705   0.408 0.683558    
## const                58.8822819 17.4067191   3.383 0.000732 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 66.46 on 1870 degrees of freedom
## Multiple R-Squared: 0.5609,  Adjusted R-squared: 0.5411 
## F-statistic: 28.43 on 84 and 1870 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Household_1_CA_3: 
## ================================================= 
## Household_1_CA_3 = Hobbies_CA_3.l1 + Household_1_CA_3.l1 + Household_2_CA_3.l1 + Foods_1_CA_3.l1 + Foods_2_CA_3.l1 + Foods_3_CA_3.l1 + Hobbies_CA_3.l2 + Household_1_CA_3.l2 + Household_2_CA_3.l2 + Foods_1_CA_3.l2 + Foods_2_CA_3.l2 + Foods_3_CA_3.l2 + Hobbies_CA_3.l3 + Household_1_CA_3.l3 + Household_2_CA_3.l3 + Foods_1_CA_3.l3 + Foods_2_CA_3.l3 + Foods_3_CA_3.l3 + Hobbies_CA_3.l4 + Household_1_CA_3.l4 + Household_2_CA_3.l4 + Foods_1_CA_3.l4 + Foods_2_CA_3.l4 + Foods_3_CA_3.l4 + Hobbies_CA_3.l5 + Household_1_CA_3.l5 + Household_2_CA_3.l5 + Foods_1_CA_3.l5 + Foods_2_CA_3.l5 + Foods_3_CA_3.l5 + Hobbies_CA_3.l6 + Household_1_CA_3.l6 + Household_2_CA_3.l6 + Foods_1_CA_3.l6 + Foods_2_CA_3.l6 + Foods_3_CA_3.l6 + Hobbies_CA_3.l7 + Household_1_CA_3.l7 + Household_2_CA_3.l7 + Foods_1_CA_3.l7 + Foods_2_CA_3.l7 + Foods_3_CA_3.l7 + Hobbies_CA_3.l8 + Household_1_CA_3.l8 + Household_2_CA_3.l8 + Foods_1_CA_3.l8 + Foods_2_CA_3.l8 + Foods_3_CA_3.l8 + Hobbies_CA_3.l9 + Household_1_CA_3.l9 + Household_2_CA_3.l9 + Foods_1_CA_3.l9 + Foods_2_CA_3.l9 + Foods_3_CA_3.l9 + Hobbies_CA_3.l10 + Household_1_CA_3.l10 + Household_2_CA_3.l10 + Foods_1_CA_3.l10 + Foods_2_CA_3.l10 + Foods_3_CA_3.l10 + Hobbies_CA_3.l11 + Household_1_CA_3.l11 + Household_2_CA_3.l11 + Foods_1_CA_3.l11 + Foods_2_CA_3.l11 + Foods_3_CA_3.l11 + Hobbies_CA_3.l12 + Household_1_CA_3.l12 + Household_2_CA_3.l12 + Foods_1_CA_3.l12 + Foods_2_CA_3.l12 + Foods_3_CA_3.l12 + Hobbies_CA_3.l13 + Household_1_CA_3.l13 + Household_2_CA_3.l13 + Foods_1_CA_3.l13 + Foods_2_CA_3.l13 + Foods_3_CA_3.l13 + Hobbies_CA_3.l14 + Household_1_CA_3.l14 + Household_2_CA_3.l14 + Foods_1_CA_3.l14 + Foods_2_CA_3.l14 + Foods_3_CA_3.l14 + const 
## 
##                        Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_3.l1      -0.0310759  0.0184022  -1.689 0.091442 .  
## Household_1_CA_3.l1   0.3817327  0.0288370  13.238  < 2e-16 ***
## Household_2_CA_3.l1  -0.0232380  0.0516700  -0.450 0.652951    
## Foods_1_CA_3.l1       0.0504632  0.0410630   1.229 0.219256    
## Foods_2_CA_3.l1      -0.0240292  0.0198289  -1.212 0.225732    
## Foods_3_CA_3.l1      -0.0133620  0.0072297  -1.848 0.064730 .  
## Hobbies_CA_3.l2       0.0221915  0.0185062   1.199 0.230625    
## Household_1_CA_3.l2   0.0152372  0.0305267   0.499 0.617737    
## Household_2_CA_3.l2  -0.0456068  0.0522773  -0.872 0.383102    
## Foods_1_CA_3.l2       0.0052472  0.0432666   0.121 0.903486    
## Foods_2_CA_3.l2       0.0419711  0.0217354   1.931 0.053634 .  
## Foods_3_CA_3.l2      -0.0110669  0.0078736  -1.406 0.160016    
## Hobbies_CA_3.l3       0.0206657  0.0184943   1.117 0.263964    
## Household_1_CA_3.l3  -0.0343699  0.0306982  -1.120 0.263024    
## Household_2_CA_3.l3  -0.0215444  0.0523869  -0.411 0.680933    
## Foods_1_CA_3.l3       0.0539420  0.0433982   1.243 0.214040    
## Foods_2_CA_3.l3      -0.0414309  0.0218809  -1.893 0.058448 .  
## Foods_3_CA_3.l3       0.0076939  0.0079374   0.969 0.332506    
## Hobbies_CA_3.l4      -0.0019655  0.0184932  -0.106 0.915370    
## Household_1_CA_3.l4  -0.0014957  0.0306779  -0.049 0.961119    
## Household_2_CA_3.l4  -0.0380230  0.0524822  -0.724 0.468854    
## Foods_1_CA_3.l4      -0.0256318  0.0433215  -0.592 0.554148    
## Foods_2_CA_3.l4       0.0287509  0.0218952   1.313 0.189306    
## Foods_3_CA_3.l4      -0.0009396  0.0079342  -0.118 0.905747    
## Hobbies_CA_3.l5      -0.0070547  0.0186758  -0.378 0.705662    
## Household_1_CA_3.l5   0.0528277  0.0306938   1.721 0.085394 .  
## Household_2_CA_3.l5  -0.0703875  0.0525355  -1.340 0.180470    
## Foods_1_CA_3.l5      -0.0549107  0.0431954  -1.271 0.203810    
## Foods_2_CA_3.l5       0.0207838  0.0219163   0.948 0.343087    
## Foods_3_CA_3.l5      -0.0089597  0.0079476  -1.127 0.259737    
## Hobbies_CA_3.l6       0.0053034  0.0186701   0.284 0.776396    
## Household_1_CA_3.l6   0.1000724  0.0307164   3.258 0.001142 ** 
## Household_2_CA_3.l6   0.0465498  0.0525978   0.885 0.376263    
## Foods_1_CA_3.l6       0.0631894  0.0433354   1.458 0.144968    
## Foods_2_CA_3.l6       0.0028029  0.0219100   0.128 0.898220    
## Foods_3_CA_3.l6       0.0004403  0.0079525   0.055 0.955849    
## Hobbies_CA_3.l7       0.0268917  0.0187013   1.438 0.150613    
## Household_1_CA_3.l7   0.1561820  0.0307808   5.074 4.28e-07 ***
## Household_2_CA_3.l7   0.1008781  0.0531345   1.899 0.057779 .  
## Foods_1_CA_3.l7       0.0094359  0.0433679   0.218 0.827783    
## Foods_2_CA_3.l7      -0.0193027  0.0219378  -0.880 0.379035    
## Foods_3_CA_3.l7       0.0147479  0.0079545   1.854 0.063891 .  
## Hobbies_CA_3.l8      -0.0106363  0.0187292  -0.568 0.570171    
## Household_1_CA_3.l8   0.0007550  0.0307012   0.025 0.980384    
## Household_2_CA_3.l8  -0.0211355  0.0531851  -0.397 0.691122    
## Foods_1_CA_3.l8      -0.1466672  0.0433332  -3.385 0.000727 ***
## Foods_2_CA_3.l8       0.0512771  0.0219463   2.336 0.019571 *  
## Foods_3_CA_3.l8       0.0029291  0.0079399   0.369 0.712237    
## Hobbies_CA_3.l9       0.0099561  0.0186923   0.533 0.594353    
## Household_1_CA_3.l9  -0.0005719  0.0306214  -0.019 0.985101    
## Household_2_CA_3.l9   0.0341807  0.0527343   0.648 0.516957    
## Foods_1_CA_3.l9      -0.0676441  0.0434306  -1.558 0.119516    
## Foods_2_CA_3.l9       0.0159665  0.0219419   0.728 0.466903    
## Foods_3_CA_3.l9      -0.0132913  0.0078966  -1.683 0.092508 .  
## Hobbies_CA_3.l10      0.0070780  0.0186556   0.379 0.704433    
## Household_1_CA_3.l10 -0.0196346  0.0305506  -0.643 0.520504    
## Household_2_CA_3.l10 -0.0519479  0.0527120  -0.986 0.324504    
## Foods_1_CA_3.l10      0.0194591  0.0431081   0.451 0.651752    
## Foods_2_CA_3.l10     -0.0120068  0.0219524  -0.547 0.584482    
## Foods_3_CA_3.l10      0.0114008  0.0078971   1.444 0.148997    
## Hobbies_CA_3.l11      0.0001932  0.0184871   0.010 0.991662    
## Household_1_CA_3.l11  0.0362528  0.0304555   1.190 0.234059    
## Household_2_CA_3.l11 -0.0311862  0.0526571  -0.592 0.553754    
## Foods_1_CA_3.l11     -0.0924124  0.0430491  -2.147 0.031947 *  
## Foods_2_CA_3.l11     -0.0125126  0.0219232  -0.571 0.568239    
## Foods_3_CA_3.l11      0.0038312  0.0078953   0.485 0.627560    
## Hobbies_CA_3.l12      0.0103417  0.0184516   0.560 0.575220    
## Household_1_CA_3.l12  0.0061536  0.0304385   0.202 0.839810    
## Household_2_CA_3.l12 -0.0459710  0.0526713  -0.873 0.382889    
## Foods_1_CA_3.l12     -0.0153452  0.0430386  -0.357 0.721472    
## Foods_2_CA_3.l12     -0.0023718  0.0218930  -0.108 0.913741    
## Foods_3_CA_3.l12     -0.0087986  0.0078747  -1.117 0.264001    
## Hobbies_CA_3.l13      0.0120663  0.0184126   0.655 0.512335    
## Household_1_CA_3.l13  0.0641985  0.0302952   2.119 0.034214 *  
## Household_2_CA_3.l13  0.0499080  0.0523772   0.953 0.340786    
## Foods_1_CA_3.l13      0.0155684  0.0425272   0.366 0.714346    
## Foods_2_CA_3.l13     -0.0302834  0.0218187  -1.388 0.165316    
## Foods_3_CA_3.l13      0.0058415  0.0078143   0.748 0.454832    
## Hobbies_CA_3.l14      0.0193667  0.0182307   1.062 0.288233    
## Household_1_CA_3.l14  0.1568208  0.0285542   5.492 4.52e-08 ***
## Household_2_CA_3.l14  0.1373177  0.0513121   2.676 0.007513 ** 
## Foods_1_CA_3.l14      0.0086727  0.0400907   0.216 0.828756    
## Foods_2_CA_3.l14      0.0102203  0.0197969   0.516 0.605736    
## Foods_3_CA_3.l14      0.0034412  0.0071606   0.481 0.630870    
## const                32.4952208 12.6276632   2.573 0.010149 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 48.22 on 1870 degrees of freedom
## Multiple R-Squared: 0.7826,  Adjusted R-squared: 0.7728 
## F-statistic: 80.13 on 84 and 1870 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Household_2_CA_3: 
## ================================================= 
## Household_2_CA_3 = Hobbies_CA_3.l1 + Household_1_CA_3.l1 + Household_2_CA_3.l1 + Foods_1_CA_3.l1 + Foods_2_CA_3.l1 + Foods_3_CA_3.l1 + Hobbies_CA_3.l2 + Household_1_CA_3.l2 + Household_2_CA_3.l2 + Foods_1_CA_3.l2 + Foods_2_CA_3.l2 + Foods_3_CA_3.l2 + Hobbies_CA_3.l3 + Household_1_CA_3.l3 + Household_2_CA_3.l3 + Foods_1_CA_3.l3 + Foods_2_CA_3.l3 + Foods_3_CA_3.l3 + Hobbies_CA_3.l4 + Household_1_CA_3.l4 + Household_2_CA_3.l4 + Foods_1_CA_3.l4 + Foods_2_CA_3.l4 + Foods_3_CA_3.l4 + Hobbies_CA_3.l5 + Household_1_CA_3.l5 + Household_2_CA_3.l5 + Foods_1_CA_3.l5 + Foods_2_CA_3.l5 + Foods_3_CA_3.l5 + Hobbies_CA_3.l6 + Household_1_CA_3.l6 + Household_2_CA_3.l6 + Foods_1_CA_3.l6 + Foods_2_CA_3.l6 + Foods_3_CA_3.l6 + Hobbies_CA_3.l7 + Household_1_CA_3.l7 + Household_2_CA_3.l7 + Foods_1_CA_3.l7 + Foods_2_CA_3.l7 + Foods_3_CA_3.l7 + Hobbies_CA_3.l8 + Household_1_CA_3.l8 + Household_2_CA_3.l8 + Foods_1_CA_3.l8 + Foods_2_CA_3.l8 + Foods_3_CA_3.l8 + Hobbies_CA_3.l9 + Household_1_CA_3.l9 + Household_2_CA_3.l9 + Foods_1_CA_3.l9 + Foods_2_CA_3.l9 + Foods_3_CA_3.l9 + Hobbies_CA_3.l10 + Household_1_CA_3.l10 + Household_2_CA_3.l10 + Foods_1_CA_3.l10 + Foods_2_CA_3.l10 + Foods_3_CA_3.l10 + Hobbies_CA_3.l11 + Household_1_CA_3.l11 + Household_2_CA_3.l11 + Foods_1_CA_3.l11 + Foods_2_CA_3.l11 + Foods_3_CA_3.l11 + Hobbies_CA_3.l12 + Household_1_CA_3.l12 + Household_2_CA_3.l12 + Foods_1_CA_3.l12 + Foods_2_CA_3.l12 + Foods_3_CA_3.l12 + Hobbies_CA_3.l13 + Household_1_CA_3.l13 + Household_2_CA_3.l13 + Foods_1_CA_3.l13 + Foods_2_CA_3.l13 + Foods_3_CA_3.l13 + Hobbies_CA_3.l14 + Household_1_CA_3.l14 + Household_2_CA_3.l14 + Foods_1_CA_3.l14 + Foods_2_CA_3.l14 + Foods_3_CA_3.l14 + const 
## 
##                        Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_3.l1      -1.707e-03  9.513e-03  -0.179 0.857609    
## Household_1_CA_3.l1   5.007e-02  1.491e-02   3.359 0.000799 ***
## Household_2_CA_3.l1   1.556e-01  2.671e-02   5.827 6.64e-09 ***
## Foods_1_CA_3.l1      -2.348e-02  2.123e-02  -1.106 0.268881    
## Foods_2_CA_3.l1      -2.734e-03  1.025e-02  -0.267 0.789735    
## Foods_3_CA_3.l1      -1.887e-04  3.737e-03  -0.051 0.959729    
## Hobbies_CA_3.l2       3.648e-03  9.566e-03   0.381 0.703032    
## Household_1_CA_3.l2  -3.944e-02  1.578e-02  -2.499 0.012536 *  
## Household_2_CA_3.l2   6.676e-02  2.702e-02   2.470 0.013587 *  
## Foods_1_CA_3.l2       3.582e-02  2.237e-02   1.601 0.109437    
## Foods_2_CA_3.l2       2.114e-03  1.124e-02   0.188 0.850748    
## Foods_3_CA_3.l2      -4.911e-03  4.070e-03  -1.207 0.227755    
## Hobbies_CA_3.l3       1.067e-02  9.560e-03   1.116 0.264534    
## Household_1_CA_3.l3  -2.501e-02  1.587e-02  -1.576 0.115182    
## Household_2_CA_3.l3   3.921e-02  2.708e-02   1.448 0.147840    
## Foods_1_CA_3.l3       2.228e-02  2.243e-02   0.993 0.320866    
## Foods_2_CA_3.l3      -1.323e-02  1.131e-02  -1.170 0.242181    
## Foods_3_CA_3.l3       4.095e-03  4.103e-03   0.998 0.318409    
## Hobbies_CA_3.l4      -7.146e-04  9.560e-03  -0.075 0.940418    
## Household_1_CA_3.l4  -3.786e-02  1.586e-02  -2.387 0.017069 *  
## Household_2_CA_3.l4   4.042e-02  2.713e-02   1.490 0.136416    
## Foods_1_CA_3.l4       8.022e-03  2.239e-02   0.358 0.720217    
## Foods_2_CA_3.l4       1.446e-03  1.132e-02   0.128 0.898346    
## Foods_3_CA_3.l4      -4.444e-04  4.101e-03  -0.108 0.913721    
## Hobbies_CA_3.l5      -2.773e-04  9.654e-03  -0.029 0.977089    
## Household_1_CA_3.l5  -6.215e-03  1.587e-02  -0.392 0.695309    
## Household_2_CA_3.l5   2.893e-02  2.716e-02   1.065 0.286836    
## Foods_1_CA_3.l5      -4.443e-03  2.233e-02  -0.199 0.842318    
## Foods_2_CA_3.l5       4.481e-03  1.133e-02   0.396 0.692493    
## Foods_3_CA_3.l5      -7.103e-04  4.108e-03  -0.173 0.862749    
## Hobbies_CA_3.l6      -7.698e-03  9.651e-03  -0.798 0.425188    
## Household_1_CA_3.l6   2.265e-02  1.588e-02   1.426 0.153952    
## Household_2_CA_3.l6   1.661e-01  2.719e-02   6.111 1.20e-09 ***
## Foods_1_CA_3.l6       2.983e-02  2.240e-02   1.331 0.183201    
## Foods_2_CA_3.l6       5.049e-03  1.133e-02   0.446 0.655782    
## Foods_3_CA_3.l6      -8.011e-03  4.111e-03  -1.949 0.051466 .  
## Hobbies_CA_3.l7       1.388e-03  9.667e-03   0.144 0.885819    
## Household_1_CA_3.l7   2.006e-02  1.591e-02   1.261 0.207552    
## Household_2_CA_3.l7   1.049e-01  2.747e-02   3.817 0.000139 ***
## Foods_1_CA_3.l7      -6.345e-03  2.242e-02  -0.283 0.777187    
## Foods_2_CA_3.l7      -8.811e-03  1.134e-02  -0.777 0.437257    
## Foods_3_CA_3.l7       1.025e-02  4.112e-03   2.494 0.012733 *  
## Hobbies_CA_3.l8       2.401e-03  9.682e-03   0.248 0.804177    
## Household_1_CA_3.l8  -2.552e-02  1.587e-02  -1.608 0.108055    
## Household_2_CA_3.l8   2.347e-02  2.749e-02   0.853 0.393494    
## Foods_1_CA_3.l8      -5.322e-02  2.240e-02  -2.376 0.017598 *  
## Foods_2_CA_3.l8       2.668e-02  1.134e-02   2.352 0.018797 *  
## Foods_3_CA_3.l8       1.713e-03  4.104e-03   0.417 0.676464    
## Hobbies_CA_3.l9       4.581e-03  9.663e-03   0.474 0.635473    
## Household_1_CA_3.l9   1.965e-03  1.583e-02   0.124 0.901241    
## Household_2_CA_3.l9   1.119e-02  2.726e-02   0.410 0.681526    
## Foods_1_CA_3.l9      -6.207e-03  2.245e-02  -0.276 0.782222    
## Foods_2_CA_3.l9       1.646e-02  1.134e-02   1.451 0.146832    
## Foods_3_CA_3.l9      -1.204e-02  4.082e-03  -2.950 0.003218 ** 
## Hobbies_CA_3.l10     -1.383e-02  9.644e-03  -1.435 0.151571    
## Household_1_CA_3.l10  6.116e-05  1.579e-02   0.004 0.996911    
## Household_2_CA_3.l10  7.194e-03  2.725e-02   0.264 0.791806    
## Foods_1_CA_3.l10      5.449e-03  2.228e-02   0.245 0.806867    
## Foods_2_CA_3.l10     -1.266e-02  1.135e-02  -1.116 0.264604    
## Foods_3_CA_3.l10      4.371e-03  4.082e-03   1.071 0.284395    
## Hobbies_CA_3.l11      8.414e-03  9.557e-03   0.880 0.378715    
## Household_1_CA_3.l11  1.771e-03  1.574e-02   0.112 0.910448    
## Household_2_CA_3.l11 -1.862e-02  2.722e-02  -0.684 0.493973    
## Foods_1_CA_3.l11     -2.953e-02  2.225e-02  -1.327 0.184699    
## Foods_2_CA_3.l11     -1.321e-02  1.133e-02  -1.166 0.243750    
## Foods_3_CA_3.l11      5.860e-03  4.081e-03   1.436 0.151199    
## Hobbies_CA_3.l12      9.031e-03  9.538e-03   0.947 0.343843    
## Household_1_CA_3.l12 -8.191e-04  1.573e-02  -0.052 0.958490    
## Household_2_CA_3.l12  2.346e-02  2.723e-02   0.861 0.389077    
## Foods_1_CA_3.l12     -2.328e-02  2.225e-02  -1.046 0.295494    
## Foods_2_CA_3.l12      3.903e-03  1.132e-02   0.345 0.730223    
## Foods_3_CA_3.l12     -6.341e-03  4.071e-03  -1.558 0.119470    
## Hobbies_CA_3.l13     -1.043e-02  9.518e-03  -1.096 0.273202    
## Household_1_CA_3.l13  3.950e-02  1.566e-02   2.522 0.011741 *  
## Household_2_CA_3.l13  2.913e-02  2.708e-02   1.076 0.282045    
## Foods_1_CA_3.l13      2.081e-02  2.198e-02   0.947 0.343972    
## Foods_2_CA_3.l13     -7.767e-03  1.128e-02  -0.689 0.491148    
## Foods_3_CA_3.l13      7.683e-04  4.039e-03   0.190 0.849168    
## Hobbies_CA_3.l14      1.176e-02  9.424e-03   1.248 0.212308    
## Household_1_CA_3.l14  1.345e-02  1.476e-02   0.912 0.362124    
## Household_2_CA_3.l14  1.773e-01  2.652e-02   6.683 3.08e-11 ***
## Foods_1_CA_3.l14      1.601e-02  2.072e-02   0.772 0.439961    
## Foods_2_CA_3.l14     -1.132e-02  1.023e-02  -1.107 0.268611    
## Foods_3_CA_3.l14      8.347e-03  3.702e-03   2.255 0.024250 *  
## const                 1.337e+01  6.528e+00   2.047 0.040749 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 24.92 on 1870 degrees of freedom
## Multiple R-Squared: 0.628,   Adjusted R-squared: 0.6113 
## F-statistic: 37.58 on 84 and 1870 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Foods_1_CA_3: 
## ============================================= 
## Foods_1_CA_3 = Hobbies_CA_3.l1 + Household_1_CA_3.l1 + Household_2_CA_3.l1 + Foods_1_CA_3.l1 + Foods_2_CA_3.l1 + Foods_3_CA_3.l1 + Hobbies_CA_3.l2 + Household_1_CA_3.l2 + Household_2_CA_3.l2 + Foods_1_CA_3.l2 + Foods_2_CA_3.l2 + Foods_3_CA_3.l2 + Hobbies_CA_3.l3 + Household_1_CA_3.l3 + Household_2_CA_3.l3 + Foods_1_CA_3.l3 + Foods_2_CA_3.l3 + Foods_3_CA_3.l3 + Hobbies_CA_3.l4 + Household_1_CA_3.l4 + Household_2_CA_3.l4 + Foods_1_CA_3.l4 + Foods_2_CA_3.l4 + Foods_3_CA_3.l4 + Hobbies_CA_3.l5 + Household_1_CA_3.l5 + Household_2_CA_3.l5 + Foods_1_CA_3.l5 + Foods_2_CA_3.l5 + Foods_3_CA_3.l5 + Hobbies_CA_3.l6 + Household_1_CA_3.l6 + Household_2_CA_3.l6 + Foods_1_CA_3.l6 + Foods_2_CA_3.l6 + Foods_3_CA_3.l6 + Hobbies_CA_3.l7 + Household_1_CA_3.l7 + Household_2_CA_3.l7 + Foods_1_CA_3.l7 + Foods_2_CA_3.l7 + Foods_3_CA_3.l7 + Hobbies_CA_3.l8 + Household_1_CA_3.l8 + Household_2_CA_3.l8 + Foods_1_CA_3.l8 + Foods_2_CA_3.l8 + Foods_3_CA_3.l8 + Hobbies_CA_3.l9 + Household_1_CA_3.l9 + Household_2_CA_3.l9 + Foods_1_CA_3.l9 + Foods_2_CA_3.l9 + Foods_3_CA_3.l9 + Hobbies_CA_3.l10 + Household_1_CA_3.l10 + Household_2_CA_3.l10 + Foods_1_CA_3.l10 + Foods_2_CA_3.l10 + Foods_3_CA_3.l10 + Hobbies_CA_3.l11 + Household_1_CA_3.l11 + Household_2_CA_3.l11 + Foods_1_CA_3.l11 + Foods_2_CA_3.l11 + Foods_3_CA_3.l11 + Hobbies_CA_3.l12 + Household_1_CA_3.l12 + Household_2_CA_3.l12 + Foods_1_CA_3.l12 + Foods_2_CA_3.l12 + Foods_3_CA_3.l12 + Hobbies_CA_3.l13 + Household_1_CA_3.l13 + Household_2_CA_3.l13 + Foods_1_CA_3.l13 + Foods_2_CA_3.l13 + Foods_3_CA_3.l13 + Hobbies_CA_3.l14 + Household_1_CA_3.l14 + Household_2_CA_3.l14 + Foods_1_CA_3.l14 + Foods_2_CA_3.l14 + Foods_3_CA_3.l14 + const 
## 
##                        Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_3.l1      -0.0064566  0.0122862  -0.526 0.599289    
## Household_1_CA_3.l1   0.0620937  0.0192530   3.225 0.001281 ** 
## Household_2_CA_3.l1   0.0238804  0.0344974   0.692 0.488873    
## Foods_1_CA_3.l1       0.3549750  0.0274156  12.948  < 2e-16 ***
## Foods_2_CA_3.l1      -0.0245144  0.0132387  -1.852 0.064223 .  
## Foods_3_CA_3.l1      -0.0006082  0.0048269  -0.126 0.899748    
## Hobbies_CA_3.l2       0.0087340  0.0123556   0.707 0.479728    
## Household_1_CA_3.l2  -0.0465060  0.0203811  -2.282 0.022612 *  
## Household_2_CA_3.l2  -0.0307510  0.0349028  -0.881 0.378407    
## Foods_1_CA_3.l2       0.1475022  0.0288868   5.106 3.62e-07 ***
## Foods_2_CA_3.l2       0.0105193  0.0145116   0.725 0.468611    
## Foods_3_CA_3.l2       0.0006697  0.0052568   0.127 0.898638    
## Hobbies_CA_3.l3       0.0053797  0.0123477   0.436 0.663116    
## Household_1_CA_3.l3  -0.0012931  0.0204956  -0.063 0.949699    
## Household_2_CA_3.l3  -0.0115916  0.0349760  -0.331 0.740367    
## Foods_1_CA_3.l3       0.1023334  0.0289748   3.532 0.000423 ***
## Foods_2_CA_3.l3       0.0081246  0.0146087   0.556 0.578177    
## Foods_3_CA_3.l3      -0.0026056  0.0052994  -0.492 0.623007    
## Hobbies_CA_3.l4       0.0031964  0.0123470   0.259 0.795754    
## Household_1_CA_3.l4  -0.0417017  0.0204820  -2.036 0.041889 *  
## Household_2_CA_3.l4  -0.0461141  0.0350397  -1.316 0.188317    
## Foods_1_CA_3.l4       0.0684029  0.0289235   2.365 0.018134 *  
## Foods_2_CA_3.l4       0.0091104  0.0146183   0.623 0.533214    
## Foods_3_CA_3.l4       0.0121529  0.0052973   2.294 0.021890 *  
## Hobbies_CA_3.l5      -0.0066153  0.0124688  -0.531 0.595798    
## Household_1_CA_3.l5  -0.0114355  0.0204926  -0.558 0.576890    
## Household_2_CA_3.l5  -0.0056086  0.0350752  -0.160 0.872975    
## Foods_1_CA_3.l5       0.0644083  0.0288393   2.233 0.025644 *  
## Foods_2_CA_3.l5      -0.0115190  0.0146324  -0.787 0.431250    
## Foods_3_CA_3.l5      -0.0099929  0.0053062  -1.883 0.059822 .  
## Hobbies_CA_3.l6       0.0090106  0.0124650   0.723 0.469849    
## Household_1_CA_3.l6   0.0234433  0.0205077   1.143 0.253125    
## Household_2_CA_3.l6   0.0564685  0.0351168   1.608 0.107999    
## Foods_1_CA_3.l6       0.0291830  0.0289328   1.009 0.313273    
## Foods_2_CA_3.l6       0.0078968  0.0146282   0.540 0.589377    
## Foods_3_CA_3.l6      -0.0040656  0.0053095  -0.766 0.443940    
## Hobbies_CA_3.l7       0.0037047  0.0124859   0.297 0.766720    
## Household_1_CA_3.l7   0.0404164  0.0205507   1.967 0.049370 *  
## Household_2_CA_3.l7   0.0728633  0.0354752   2.054 0.040122 *  
## Foods_1_CA_3.l7       0.0197440  0.0289545   0.682 0.495388    
## Foods_2_CA_3.l7       0.0199587  0.0146467   1.363 0.173149    
## Foods_3_CA_3.l7       0.0055759  0.0053108   1.050 0.293890    
## Hobbies_CA_3.l8      -0.0058263  0.0125045  -0.466 0.641319    
## Household_1_CA_3.l8  -0.0068504  0.0204976  -0.334 0.738261    
## Household_2_CA_3.l8  -0.0189959  0.0355090  -0.535 0.592740    
## Foods_1_CA_3.l8      -0.0397531  0.0289313  -1.374 0.169591    
## Foods_2_CA_3.l8       0.0216124  0.0146524   1.475 0.140379    
## Foods_3_CA_3.l8      -0.0016018  0.0053011  -0.302 0.762558    
## Hobbies_CA_3.l9       0.0046094  0.0124799   0.369 0.711912    
## Household_1_CA_3.l9  -0.0255495  0.0204443  -1.250 0.211561    
## Household_2_CA_3.l9  -0.0445074  0.0352080  -1.264 0.206342    
## Foods_1_CA_3.l9      -0.0462472  0.0289964  -1.595 0.110896    
## Foods_2_CA_3.l9       0.0209657  0.0146494   1.431 0.152552    
## Foods_3_CA_3.l9      -0.0097568  0.0052721  -1.851 0.064380 .  
## Hobbies_CA_3.l10     -0.0149214  0.0124554  -1.198 0.231075    
## Household_1_CA_3.l10  0.0075128  0.0203970   0.368 0.712670    
## Household_2_CA_3.l10 -0.0927091  0.0351931  -2.634 0.008501 ** 
## Foods_1_CA_3.l10     -0.0615269  0.0287811  -2.138 0.032666 *  
## Foods_2_CA_3.l10     -0.0190645  0.0146565  -1.301 0.193503    
## Foods_3_CA_3.l10      0.0034098  0.0052725   0.647 0.517889    
## Hobbies_CA_3.l11      0.0060662  0.0123429   0.491 0.623151    
## Household_1_CA_3.l11  0.0057533  0.0203336   0.283 0.777250    
## Household_2_CA_3.l11  0.0798765  0.0351564   2.272 0.023198 *  
## Foods_1_CA_3.l11     -0.0589430  0.0287417  -2.051 0.040427 *  
## Foods_2_CA_3.l11      0.0116114  0.0146370   0.793 0.427707    
## Foods_3_CA_3.l11     -0.0066507  0.0052713  -1.262 0.207218    
## Hobbies_CA_3.l12      0.0079109  0.0123192   0.642 0.520848    
## Household_1_CA_3.l12 -0.0311073  0.0203222  -1.531 0.126010    
## Household_2_CA_3.l12 -0.0074957  0.0351659  -0.213 0.831232    
## Foods_1_CA_3.l12      0.0070015  0.0287346   0.244 0.807520    
## Foods_2_CA_3.l12     -0.0168489  0.0146168  -1.153 0.249178    
## Foods_3_CA_3.l12     -0.0111190  0.0052575  -2.115 0.034573 *  
## Hobbies_CA_3.l13     -0.0092069  0.0122931  -0.749 0.453983    
## Household_1_CA_3.l13  0.0336764  0.0202266   1.665 0.096088 .  
## Household_2_CA_3.l13  0.0151591  0.0349696   0.433 0.664706    
## Foods_1_CA_3.l13      0.0051776  0.0283932   0.182 0.855326    
## Foods_2_CA_3.l13      0.0036559  0.0145672   0.251 0.801866    
## Foods_3_CA_3.l13     -0.0006373  0.0052172  -0.122 0.902795    
## Hobbies_CA_3.l14      0.0210085  0.0121717   1.726 0.084511 .  
## Household_1_CA_3.l14  0.0116710  0.0190641   0.612 0.540482    
## Household_2_CA_3.l14  0.0860627  0.0342584   2.512 0.012083 *  
## Foods_1_CA_3.l14      0.0128510  0.0267665   0.480 0.631202    
## Foods_2_CA_3.l14      0.0043737  0.0132174   0.331 0.740755    
## Foods_3_CA_3.l14      0.0031323  0.0047807   0.655 0.512421    
## const                76.5161490  8.4308344   9.076  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 32.19 on 1870 degrees of freedom
## Multiple R-Squared: 0.5708,  Adjusted R-squared: 0.5516 
## F-statistic: 29.61 on 84 and 1870 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Foods_2_CA_3: 
## ============================================= 
## Foods_2_CA_3 = Hobbies_CA_3.l1 + Household_1_CA_3.l1 + Household_2_CA_3.l1 + Foods_1_CA_3.l1 + Foods_2_CA_3.l1 + Foods_3_CA_3.l1 + Hobbies_CA_3.l2 + Household_1_CA_3.l2 + Household_2_CA_3.l2 + Foods_1_CA_3.l2 + Foods_2_CA_3.l2 + Foods_3_CA_3.l2 + Hobbies_CA_3.l3 + Household_1_CA_3.l3 + Household_2_CA_3.l3 + Foods_1_CA_3.l3 + Foods_2_CA_3.l3 + Foods_3_CA_3.l3 + Hobbies_CA_3.l4 + Household_1_CA_3.l4 + Household_2_CA_3.l4 + Foods_1_CA_3.l4 + Foods_2_CA_3.l4 + Foods_3_CA_3.l4 + Hobbies_CA_3.l5 + Household_1_CA_3.l5 + Household_2_CA_3.l5 + Foods_1_CA_3.l5 + Foods_2_CA_3.l5 + Foods_3_CA_3.l5 + Hobbies_CA_3.l6 + Household_1_CA_3.l6 + Household_2_CA_3.l6 + Foods_1_CA_3.l6 + Foods_2_CA_3.l6 + Foods_3_CA_3.l6 + Hobbies_CA_3.l7 + Household_1_CA_3.l7 + Household_2_CA_3.l7 + Foods_1_CA_3.l7 + Foods_2_CA_3.l7 + Foods_3_CA_3.l7 + Hobbies_CA_3.l8 + Household_1_CA_3.l8 + Household_2_CA_3.l8 + Foods_1_CA_3.l8 + Foods_2_CA_3.l8 + Foods_3_CA_3.l8 + Hobbies_CA_3.l9 + Household_1_CA_3.l9 + Household_2_CA_3.l9 + Foods_1_CA_3.l9 + Foods_2_CA_3.l9 + Foods_3_CA_3.l9 + Hobbies_CA_3.l10 + Household_1_CA_3.l10 + Household_2_CA_3.l10 + Foods_1_CA_3.l10 + Foods_2_CA_3.l10 + Foods_3_CA_3.l10 + Hobbies_CA_3.l11 + Household_1_CA_3.l11 + Household_2_CA_3.l11 + Foods_1_CA_3.l11 + Foods_2_CA_3.l11 + Foods_3_CA_3.l11 + Hobbies_CA_3.l12 + Household_1_CA_3.l12 + Household_2_CA_3.l12 + Foods_1_CA_3.l12 + Foods_2_CA_3.l12 + Foods_3_CA_3.l12 + Hobbies_CA_3.l13 + Household_1_CA_3.l13 + Household_2_CA_3.l13 + Foods_1_CA_3.l13 + Foods_2_CA_3.l13 + Foods_3_CA_3.l13 + Hobbies_CA_3.l14 + Household_1_CA_3.l14 + Household_2_CA_3.l14 + Foods_1_CA_3.l14 + Foods_2_CA_3.l14 + Foods_3_CA_3.l14 + const 
## 
##                        Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_3.l1      -0.0236262  0.0307248  -0.769  0.44201    
## Household_1_CA_3.l1   0.0285693  0.0481472   0.593  0.55300    
## Household_2_CA_3.l1  -0.1266629  0.0862698  -1.468  0.14221    
## Foods_1_CA_3.l1       0.0801987  0.0685600   1.170  0.24225    
## Foods_2_CA_3.l1       0.4883981  0.0331069  14.752  < 2e-16 ***
## Foods_3_CA_3.l1      -0.0114008  0.0120709  -0.944  0.34504    
## Hobbies_CA_3.l2      -0.0188517  0.0308985  -0.610  0.54186    
## Household_1_CA_3.l2  -0.1050837  0.0509683  -2.062  0.03937 *  
## Household_2_CA_3.l2   0.0231441  0.0872837   0.265  0.79092    
## Foods_1_CA_3.l2       0.0522042  0.0722391   0.723  0.46998    
## Foods_2_CA_3.l2       0.0633867  0.0362901   1.747  0.08086 .  
## Foods_3_CA_3.l2       0.0010223  0.0131459   0.078  0.93802    
## Hobbies_CA_3.l3       0.0339442  0.0308786   1.099  0.27179    
## Household_1_CA_3.l3  -0.0736824  0.0512546  -1.438  0.15072    
## Household_2_CA_3.l3  -0.0658129  0.0874668  -0.752  0.45189    
## Foods_1_CA_3.l3       0.0639821  0.0724590   0.883  0.37734    
## Foods_2_CA_3.l3       0.0554853  0.0365329   1.519  0.12899    
## Foods_3_CA_3.l3      -0.0018185  0.0132525  -0.137  0.89087    
## Hobbies_CA_3.l4      -0.0589754  0.0308769  -1.910  0.05628 .  
## Household_1_CA_3.l4   0.0096620  0.0512207   0.189  0.85040    
## Household_2_CA_3.l4  -0.0602577  0.0876259  -0.688  0.49175    
## Foods_1_CA_3.l4       0.0229453  0.0723309   0.317  0.75111    
## Foods_2_CA_3.l4       0.0618793  0.0365569   1.693  0.09068 .  
## Foods_3_CA_3.l4       0.0073346  0.0132472   0.554  0.57987    
## Hobbies_CA_3.l5      -0.0076409  0.0311816  -0.245  0.80645    
## Household_1_CA_3.l5   0.0167493  0.0512472   0.327  0.74383    
## Household_2_CA_3.l5  -0.0607013  0.0877148  -0.692  0.48900    
## Foods_1_CA_3.l5      -0.0271135  0.0721204  -0.376  0.70700    
## Foods_2_CA_3.l5       0.0379952  0.0365921   1.038  0.29924    
## Foods_3_CA_3.l5      -0.0060379  0.0132695  -0.455  0.64915    
## Hobbies_CA_3.l6      -0.0351434  0.0311721  -1.127  0.25972    
## Household_1_CA_3.l6  -0.0452020  0.0512850  -0.881  0.37822    
## Household_2_CA_3.l6   0.1326156  0.0878188   1.510  0.13119    
## Foods_1_CA_3.l6       0.0198521  0.0723540   0.274  0.78383    
## Foods_2_CA_3.l6      -0.0085973  0.0365816  -0.235  0.81422    
## Foods_3_CA_3.l6       0.0133544  0.0132778   1.006  0.31466    
## Hobbies_CA_3.l7       0.0128147  0.0312242   0.410  0.68155    
## Household_1_CA_3.l7   0.0242684  0.0513926   0.472  0.63683    
## Household_2_CA_3.l7   0.1723857  0.0887150   1.943  0.05215 .  
## Foods_1_CA_3.l7      -0.0726043  0.0724084  -1.003  0.31613    
## Foods_2_CA_3.l7       0.1980022  0.0366280   5.406 7.28e-08 ***
## Foods_3_CA_3.l7       0.0006635  0.0132810   0.050  0.96016    
## Hobbies_CA_3.l8       0.0332295  0.0312709   1.063  0.28808    
## Household_1_CA_3.l8  -0.0165715  0.0512596  -0.323  0.74651    
## Household_2_CA_3.l8  -0.0886661  0.0887995  -0.998  0.31817    
## Foods_1_CA_3.l8      -0.1674484  0.0723504  -2.314  0.02075 *  
## Foods_2_CA_3.l8       0.0315291  0.0366422   0.860  0.38965    
## Foods_3_CA_3.l8      -0.0014669  0.0132567  -0.111  0.91190    
## Hobbies_CA_3.l9       0.0165329  0.0312092   0.530  0.59635    
## Household_1_CA_3.l9  -0.0111939  0.0511263  -0.219  0.82672    
## Household_2_CA_3.l9  -0.0253838  0.0880468  -0.288  0.77315    
## Foods_1_CA_3.l9      -0.0437454  0.0725130  -0.603  0.54640    
## Foods_2_CA_3.l9      -0.0448435  0.0366348  -1.224  0.22108    
## Foods_3_CA_3.l9      -0.0069064  0.0131843  -0.524  0.60045    
## Hobbies_CA_3.l10     -0.0315649  0.0311480  -1.013  0.31101    
## Household_1_CA_3.l10  0.1069169  0.0510082   2.096  0.03621 *  
## Household_2_CA_3.l10 -0.0509281  0.0880096  -0.579  0.56288    
## Foods_1_CA_3.l10     -0.0643860  0.0719746  -0.895  0.37113    
## Foods_2_CA_3.l10     -0.0019994  0.0366524  -0.055  0.95650    
## Foods_3_CA_3.l10     -0.0076534  0.0131852  -0.580  0.56168    
## Hobbies_CA_3.l11     -0.0129734  0.0308666  -0.420  0.67431    
## Household_1_CA_3.l11  0.0233502  0.0508495   0.459  0.64614    
## Household_2_CA_3.l11 -0.0700706  0.0879179  -0.797  0.42555    
## Foods_1_CA_3.l11     -0.0345410  0.0718761  -0.481  0.63088    
## Foods_2_CA_3.l11     -0.0170724  0.0366036  -0.466  0.64097    
## Foods_3_CA_3.l11      0.0053179  0.0131823   0.403  0.68669    
## Hobbies_CA_3.l12      0.0095381  0.0308074   0.310  0.75690    
## Household_1_CA_3.l12 -0.0090140  0.0508210  -0.177  0.85924    
## Household_2_CA_3.l12  0.0380301  0.0879415   0.432  0.66547    
## Foods_1_CA_3.l12     -0.0307674  0.0718585  -0.428  0.66858    
## Foods_2_CA_3.l12     -0.0405259  0.0365532  -1.109  0.26771    
## Foods_3_CA_3.l12     -0.0011921  0.0131479  -0.091  0.92776    
## Hobbies_CA_3.l13     -0.0040210  0.0307422  -0.131  0.89595    
## Household_1_CA_3.l13 -0.0198581  0.0505818  -0.393  0.69466    
## Household_2_CA_3.l13  0.1927294  0.0874506   2.204  0.02766 *  
## Foods_1_CA_3.l13      0.0745406  0.0710047   1.050  0.29395    
## Foods_2_CA_3.l13      0.0433831  0.0364292   1.191  0.23385    
## Foods_3_CA_3.l13      0.0190662  0.0130471   1.461  0.14409    
## Hobbies_CA_3.l14      0.0315824  0.0304386   1.038  0.29960    
## Household_1_CA_3.l14  0.1199342  0.0476749   2.516  0.01196 *  
## Household_2_CA_3.l14  0.0789680  0.0856723   0.922  0.35678    
## Foods_1_CA_3.l14     -0.0562579  0.0669366  -0.840  0.40076    
## Foods_2_CA_3.l14      0.0700582  0.0330536   2.120  0.03418 *  
## Foods_3_CA_3.l14     -0.0166231  0.0119555  -1.390  0.16457    
## const                65.7128287 21.0835243   3.117  0.00186 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 80.5 on 1870 degrees of freedom
## Multiple R-Squared: 0.7096,  Adjusted R-squared: 0.6966 
## F-statistic: 54.41 on 84 and 1870 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Foods_3_CA_3: 
## ============================================= 
## Foods_3_CA_3 = Hobbies_CA_3.l1 + Household_1_CA_3.l1 + Household_2_CA_3.l1 + Foods_1_CA_3.l1 + Foods_2_CA_3.l1 + Foods_3_CA_3.l1 + Hobbies_CA_3.l2 + Household_1_CA_3.l2 + Household_2_CA_3.l2 + Foods_1_CA_3.l2 + Foods_2_CA_3.l2 + Foods_3_CA_3.l2 + Hobbies_CA_3.l3 + Household_1_CA_3.l3 + Household_2_CA_3.l3 + Foods_1_CA_3.l3 + Foods_2_CA_3.l3 + Foods_3_CA_3.l3 + Hobbies_CA_3.l4 + Household_1_CA_3.l4 + Household_2_CA_3.l4 + Foods_1_CA_3.l4 + Foods_2_CA_3.l4 + Foods_3_CA_3.l4 + Hobbies_CA_3.l5 + Household_1_CA_3.l5 + Household_2_CA_3.l5 + Foods_1_CA_3.l5 + Foods_2_CA_3.l5 + Foods_3_CA_3.l5 + Hobbies_CA_3.l6 + Household_1_CA_3.l6 + Household_2_CA_3.l6 + Foods_1_CA_3.l6 + Foods_2_CA_3.l6 + Foods_3_CA_3.l6 + Hobbies_CA_3.l7 + Household_1_CA_3.l7 + Household_2_CA_3.l7 + Foods_1_CA_3.l7 + Foods_2_CA_3.l7 + Foods_3_CA_3.l7 + Hobbies_CA_3.l8 + Household_1_CA_3.l8 + Household_2_CA_3.l8 + Foods_1_CA_3.l8 + Foods_2_CA_3.l8 + Foods_3_CA_3.l8 + Hobbies_CA_3.l9 + Household_1_CA_3.l9 + Household_2_CA_3.l9 + Foods_1_CA_3.l9 + Foods_2_CA_3.l9 + Foods_3_CA_3.l9 + Hobbies_CA_3.l10 + Household_1_CA_3.l10 + Household_2_CA_3.l10 + Foods_1_CA_3.l10 + Foods_2_CA_3.l10 + Foods_3_CA_3.l10 + Hobbies_CA_3.l11 + Household_1_CA_3.l11 + Household_2_CA_3.l11 + Foods_1_CA_3.l11 + Foods_2_CA_3.l11 + Foods_3_CA_3.l11 + Hobbies_CA_3.l12 + Household_1_CA_3.l12 + Household_2_CA_3.l12 + Foods_1_CA_3.l12 + Foods_2_CA_3.l12 + Foods_3_CA_3.l12 + Hobbies_CA_3.l13 + Household_1_CA_3.l13 + Household_2_CA_3.l13 + Foods_1_CA_3.l13 + Foods_2_CA_3.l13 + Foods_3_CA_3.l13 + Hobbies_CA_3.l14 + Household_1_CA_3.l14 + Household_2_CA_3.l14 + Foods_1_CA_3.l14 + Foods_2_CA_3.l14 + Foods_3_CA_3.l14 + const 
## 
##                        Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_3.l1      -1.223e-01  1.015e-01  -1.205 0.228375    
## Household_1_CA_3.l1   1.119e-01  1.591e-01   0.704 0.481806    
## Household_2_CA_3.l1  -1.352e-01  2.851e-01  -0.474 0.635358    
## Foods_1_CA_3.l1       1.926e-01  2.266e-01   0.850 0.395510    
## Foods_2_CA_3.l1       6.301e-02  1.094e-01   0.576 0.564752    
## Foods_3_CA_3.l1       4.026e-01  3.989e-02  10.093  < 2e-16 ***
## Hobbies_CA_3.l2       2.092e-02  1.021e-01   0.205 0.837666    
## Household_1_CA_3.l2  -5.415e-01  1.684e-01  -3.215 0.001327 ** 
## Household_2_CA_3.l2  -2.278e-02  2.884e-01  -0.079 0.937058    
## Foods_1_CA_3.l2       6.319e-02  2.387e-01   0.265 0.791261    
## Foods_2_CA_3.l2      -1.253e-01  1.199e-01  -1.045 0.296355    
## Foods_3_CA_3.l2       1.255e-01  4.344e-02   2.889 0.003906 ** 
## Hobbies_CA_3.l3       6.377e-02  1.020e-01   0.625 0.532101    
## Household_1_CA_3.l3  -2.330e-01  1.694e-01  -1.375 0.169177    
## Household_2_CA_3.l3  -4.434e-01  2.890e-01  -1.534 0.125218    
## Foods_1_CA_3.l3       3.361e-01  2.395e-01   1.404 0.160563    
## Foods_2_CA_3.l3       1.707e-02  1.207e-01   0.141 0.887561    
## Foods_3_CA_3.l3       4.517e-02  4.379e-02   1.031 0.302460    
## Hobbies_CA_3.l4      -2.374e-02  1.020e-01  -0.233 0.816036    
## Household_1_CA_3.l4  -1.483e-01  1.693e-01  -0.876 0.381062    
## Household_2_CA_3.l4  -4.535e-01  2.896e-01  -1.566 0.117489    
## Foods_1_CA_3.l4       2.202e-01  2.390e-01   0.921 0.357062    
## Foods_2_CA_3.l4       4.138e-02  1.208e-01   0.342 0.732021    
## Foods_3_CA_3.l4       7.584e-02  4.378e-02   1.732 0.083352 .  
## Hobbies_CA_3.l5      -4.243e-02  1.030e-01  -0.412 0.680584    
## Household_1_CA_3.l5   6.859e-02  1.694e-01   0.405 0.685501    
## Household_2_CA_3.l5  -1.325e-01  2.899e-01  -0.457 0.647547    
## Foods_1_CA_3.l5      -3.935e-01  2.383e-01  -1.651 0.098893 .  
## Foods_2_CA_3.l5       2.480e-02  1.209e-01   0.205 0.837523    
## Foods_3_CA_3.l5       1.884e-02  4.385e-02   0.430 0.667526    
## Hobbies_CA_3.l6      -1.266e-01  1.030e-01  -1.229 0.219345    
## Household_1_CA_3.l6   2.003e-01  1.695e-01   1.182 0.237317    
## Household_2_CA_3.l6   1.976e-01  2.902e-01   0.681 0.495960    
## Foods_1_CA_3.l6       2.285e-01  2.391e-01   0.956 0.339421    
## Foods_2_CA_3.l6      -2.190e-01  1.209e-01  -1.812 0.070182 .  
## Foods_3_CA_3.l6       6.300e-02  4.388e-02   1.436 0.151211    
## Hobbies_CA_3.l7       1.787e-01  1.032e-01   1.732 0.083434 .  
## Household_1_CA_3.l7   1.297e-01  1.698e-01   0.764 0.445116    
## Household_2_CA_3.l7   7.108e-01  2.932e-01   2.425 0.015417 *  
## Foods_1_CA_3.l7      -3.098e-01  2.393e-01  -1.295 0.195568    
## Foods_2_CA_3.l7       2.052e-01  1.210e-01   1.695 0.090227 .  
## Foods_3_CA_3.l7       1.525e-01  4.389e-02   3.475 0.000522 ***
## Hobbies_CA_3.l8       4.747e-02  1.033e-01   0.459 0.646009    
## Household_1_CA_3.l8  -6.038e-02  1.694e-01  -0.356 0.721536    
## Household_2_CA_3.l8  -7.925e-02  2.935e-01  -0.270 0.787134    
## Foods_1_CA_3.l8      -8.181e-01  2.391e-01  -3.422 0.000635 ***
## Foods_2_CA_3.l8       2.486e-01  1.211e-01   2.053 0.040247 *  
## Foods_3_CA_3.l8      -2.735e-02  4.381e-02  -0.624 0.532547    
## Hobbies_CA_3.l9       4.959e-02  1.031e-01   0.481 0.630704    
## Household_1_CA_3.l9  -1.011e-01  1.690e-01  -0.598 0.549645    
## Household_2_CA_3.l9  -1.357e-01  2.910e-01  -0.466 0.641096    
## Foods_1_CA_3.l9      -2.633e-01  2.396e-01  -1.099 0.271998    
## Foods_2_CA_3.l9       8.185e-03  1.211e-01   0.068 0.946107    
## Foods_3_CA_3.l9      -9.795e-02  4.357e-02  -2.248 0.024680 *  
## Hobbies_CA_3.l10     -3.290e-02  1.029e-01  -0.320 0.749276    
## Household_1_CA_3.l10  1.892e-01  1.686e-01   1.122 0.261870    
## Household_2_CA_3.l10 -3.570e-01  2.908e-01  -1.228 0.219785    
## Foods_1_CA_3.l10     -3.581e-01  2.379e-01  -1.506 0.132343    
## Foods_2_CA_3.l10     -4.925e-02  1.211e-01  -0.407 0.684347    
## Foods_3_CA_3.l10      1.432e-04  4.357e-02   0.003 0.997378    
## Hobbies_CA_3.l11      9.608e-02  1.020e-01   0.942 0.346336    
## Household_1_CA_3.l11 -2.551e-02  1.680e-01  -0.152 0.879368    
## Household_2_CA_3.l11 -1.898e-01  2.905e-01  -0.653 0.513578    
## Foods_1_CA_3.l11     -1.126e-01  2.375e-01  -0.474 0.635620    
## Foods_2_CA_3.l11      3.089e-02  1.210e-01   0.255 0.798446    
## Foods_3_CA_3.l11     -2.890e-03  4.356e-02  -0.066 0.947112    
## Hobbies_CA_3.l12      2.681e-03  1.018e-01   0.026 0.978989    
## Household_1_CA_3.l12 -1.095e-01  1.679e-01  -0.652 0.514448    
## Household_2_CA_3.l12 -7.544e-03  2.906e-01  -0.026 0.979293    
## Foods_1_CA_3.l12     -2.181e-01  2.375e-01  -0.919 0.358395    
## Foods_2_CA_3.l12     -1.410e-01  1.208e-01  -1.167 0.243361    
## Foods_3_CA_3.l12     -1.014e-02  4.345e-02  -0.233 0.815406    
## Hobbies_CA_3.l13     -5.259e-02  1.016e-01  -0.518 0.604774    
## Household_1_CA_3.l13  7.956e-02  1.672e-01   0.476 0.634160    
## Household_2_CA_3.l13  2.558e-01  2.890e-01   0.885 0.376265    
## Foods_1_CA_3.l13     -7.285e-02  2.346e-01  -0.310 0.756249    
## Foods_2_CA_3.l13     -5.531e-03  1.204e-01  -0.046 0.963362    
## Foods_3_CA_3.l13      7.793e-02  4.312e-02   1.807 0.070867 .  
## Hobbies_CA_3.l14      1.709e-01  1.006e-01   1.699 0.089476 .  
## Household_1_CA_3.l14  4.651e-01  1.575e-01   2.952 0.003195 ** 
## Household_2_CA_3.l14  1.124e+00  2.831e-01   3.970 7.46e-05 ***
## Foods_1_CA_3.l14     -2.382e-01  2.212e-01  -1.077 0.281707    
## Foods_2_CA_3.l14      6.453e-02  1.092e-01   0.591 0.554752    
## Foods_3_CA_3.l14      4.458e-02  3.951e-02   1.128 0.259334    
## const                 4.188e+02  6.967e+01   6.011 2.22e-09 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 266 on 1870 degrees of freedom
## Multiple R-Squared: 0.7493,  Adjusted R-squared: 0.738 
## F-statistic: 66.53 on 84 and 1870 DF,  p-value: < 2.2e-16 
## 
## 
## 
## Covariance matrix of residuals:
##                  Hobbies_CA_3 Household_1_CA_3 Household_2_CA_3 Foods_1_CA_3
## Hobbies_CA_3           4417.4           1172.4            467.0        592.9
## Household_1_CA_3       1172.4           2324.8            512.1        649.0
## Household_2_CA_3        467.0            512.1            621.2        270.1
## Foods_1_CA_3            592.9            649.0            270.1       1036.3
## Foods_2_CA_3           1121.7           1180.3            565.5        720.2
## Foods_3_CA_3           5990.9           6684.8           3027.5       4163.2
##                  Foods_2_CA_3 Foods_3_CA_3
## Hobbies_CA_3           1121.7         5991
## Household_1_CA_3       1180.3         6685
## Household_2_CA_3        565.5         3028
## Foods_1_CA_3            720.2         4163
## Foods_2_CA_3           6480.7        15253
## Foods_3_CA_3          15253.0        70774
## 
## Correlation matrix of residuals:
##                  Hobbies_CA_3 Household_1_CA_3 Household_2_CA_3 Foods_1_CA_3
## Hobbies_CA_3           1.0000           0.3659           0.2819       0.2771
## Household_1_CA_3       0.3659           1.0000           0.4261       0.4181
## Household_2_CA_3       0.2819           0.4261           1.0000       0.3366
## Foods_1_CA_3           0.2771           0.4181           0.3366       1.0000
## Foods_2_CA_3           0.2096           0.3041           0.2818       0.2779
## Foods_3_CA_3           0.3388           0.5211           0.4566       0.4861
##                  Foods_2_CA_3 Foods_3_CA_3
## Hobbies_CA_3           0.2096       0.3388
## Household_1_CA_3       0.3041       0.5211
## Household_2_CA_3       0.2818       0.4566
## Foods_1_CA_3           0.2779       0.4861
## Foods_2_CA_3           1.0000       0.7122
## Foods_3_CA_3           0.7122       1.0000
Serial3 <- serial.test(Model3, lags.pt = 5, type = "PT.asymptotic")
## Warning in pchisq(STATISTIC, df = PARAMETER): NaNs produced
## Warning in pchisq(STATISTIC, df = PARAMETER): NaNs produced
Serial3
## 
##  Portmanteau Test (asymptotic)
## 
## data:  Residuals of VAR object Model3
## Chi-squared = 10.931, df = -324, p-value = NA
Arch3 <- arch.test(Model3, lags.multi = 15, multivariate.only = TRUE)
Arch3
## 
##  ARCH (multivariate)
## 
## data:  Residuals of VAR object Model3
## Chi-squared = 7757.1, df = 6615, p-value < 2.2e-16
Norm3 <- normality.test(Model3, multivariate.only = TRUE)
Norm3
## $JB
## 
##  JB-Test (multivariate)
## 
## data:  Residuals of VAR object Model3
## Chi-squared = 4600.4, df = 12, p-value < 2.2e-16
## 
## 
## $Skewness
## 
##  Skewness only (multivariate)
## 
## data:  Residuals of VAR object Model3
## Chi-squared = 139.6, df = 6, p-value < 2.2e-16
## 
## 
## $Kurtosis
## 
##  Kurtosis only (multivariate)
## 
## data:  Residuals of VAR object Model3
## Chi-squared = 4460.8, df = 6, p-value < 2.2e-16
Stability3 <- stability(Model3, type = "OLS-CUSUM")
plot(Stability3)

forecast <- predict(Model3, n.ahead = 28, ci = 0.95)
fanchart(forecast, names = "Hobbies_CA_3", main = "Fanchart for Hobbies_CA_3", xlab = "Horizon", ylab = "Hobbies_CA_3")

fanchart(forecast, names = "Household_1_CA_3", main = "Fanchart for Household_1_CA_3", xlab = "Horizon", ylab = "Household_1_CA_3")

fanchart(forecast, names = "Household_2_CA_3", main = "Fanchart for Household_2_CA_3", xlab = "Horizon", ylab = "Household_2_CA_3")

fanchart(forecast, names = "Foods_1_CA_3", main = "Fanchart for Foods_1_CA_3", xlab = "Horizon", ylab = "Foods_1_CA_3")

fanchart(forecast, names = "Foods_2_CA_3", main = "Fanchart for Foods_2_CA_3", xlab = "Horizon", ylab = "Foods_2_CA_3")

fanchart(forecast, names = "Foods_3_CA_3", main = "Fanchart for Foods_3_CA_3", xlab = "Horizon", ylab = "Foods_3_CA_3")

result_3 = forecast$fcst$Hobbies_CA_3+forecast$fcst$Household_1_CA_3+forecast$fcst$Household_2_CA_3+forecast$fcst$Foods_1_CA_3+forecast$fcst$Foods_2_CA_3+forecast$fcst$Foods_3_CA_3
print(result_3)
##           fcst    lower    upper       CI
##  [1,] 3728.568 2712.656 4744.479 1015.911
##  [2,] 3487.904 2398.315 4577.493 1089.589
##  [3,] 3380.374 2268.065 4492.682 1112.308
##  [4,] 3421.219 2293.733 4548.705 1127.486
##  [5,] 3773.791 2628.298 4919.284 1145.493
##  [6,] 4432.313 3275.235 5589.391 1157.078
##  [7,] 4419.585 3249.419 5589.752 1170.167
##  [8,] 3948.789 2728.703 5168.876 1220.087
##  [9,] 3693.230 2445.984 4940.476 1247.246
## [10,] 3557.853 2301.214 4814.492 1256.639
## [11,] 3533.804 2269.749 4797.859 1264.055
## [12,] 3908.391 2636.382 5180.400 1272.009
## [13,] 4548.592 3267.964 5829.221 1280.628
## [14,] 4464.794 3174.402 5755.187 1290.393
## [15,] 4027.123 2696.183 5358.063 1330.940
## [16,] 3757.652 2407.222 5108.083 1350.430
## [17,] 3605.860 2245.758 4965.961 1360.102
## [18,] 3576.286 2208.300 4944.272 1367.986
## [19,] 3943.343 2567.675 5319.010 1375.667
## [20,] 4443.763 3061.514 5826.013 1382.249
## [21,] 4410.119 3020.625 5799.613 1389.494
## [22,] 4018.780 2606.983 5430.576 1411.797
## [23,] 3734.877 2309.495 5160.260 1425.383
## [24,] 3551.745 2120.816 4982.674 1430.929
## [25,] 3542.112 2106.446 4977.777 1435.666
## [26,] 3904.719 2464.205 5345.234 1440.515
## [27,] 4357.445 2913.250 5801.641 1444.196
## [28,] 4333.301 2881.963 5784.640 1451.339

2. Consider a VAR model for each type of products and obtain forecasts.

Analysis for the first type of products Hobbies

We use similar codes as in 2.1 to build models for different types of products.

v_hobby <- cbind(Hobbies_CA_1, Hobbies_CA_2, Hobbies_CA_3)
colnames(v_hobby) <- cbind("Hobbies_CA_1","Hobbies_CA_2","Hobbies_CA_3")
lagselect <- VARselect(v_hobby, lag.max = 60, type = "const")
lagselect$selection
## AIC(n)  HQ(n)  SC(n) FPE(n) 
##     28     14      7     28
Model_hobby <- VAR(v_hobby, p = 28, type = "const", season = NULL, exog = NULL) 
summary(Model_hobby)
## 
## VAR Estimation Results:
## ========================= 
## Endogenous variables: Hobbies_CA_1, Hobbies_CA_2, Hobbies_CA_3 
## Deterministic variables: const 
## Sample size: 1941 
## Log Likelihood: -31665.024 
## Roots of the characteristic polynomial:
## 0.9956 0.9956 0.9956 0.9956 0.9838 0.9838 0.9623 0.9462 0.9462 0.9461 0.9461 0.9451 0.9451 0.9428 0.9428 0.9389 0.9389 0.9345 0.9345 0.933 0.933 0.9312 0.9312 0.9274 0.9274 0.9228 0.9228 0.922 0.922 0.9198 0.9198 0.9186 0.9186 0.9169 0.9169 0.9169 0.9163 0.9163 0.9154 0.9154 0.9134 0.9134 0.9125 0.9125 0.9112 0.9112 0.9096 0.9096 0.9089 0.9089 0.9044 0.9044 0.9044 0.9044 0.8999 0.8999 0.8999 0.8999 0.8952 0.8952 0.8906 0.8906 0.8902 0.8902 0.8873 0.8854 0.8854 0.8853 0.8853 0.8852 0.8852 0.8843 0.8843 0.8825 0.8825 0.8824 0.8824 0.8789 0.8789 0.8711 0.8711 0.8572 0.8572 0.6359
## Call:
## VAR(y = v_hobby, p = 28, type = "const", exogen = NULL)
## 
## 
## Estimation results for equation Hobbies_CA_1: 
## ============================================= 
## Hobbies_CA_1 = Hobbies_CA_1.l1 + Hobbies_CA_2.l1 + Hobbies_CA_3.l1 + Hobbies_CA_1.l2 + Hobbies_CA_2.l2 + Hobbies_CA_3.l2 + Hobbies_CA_1.l3 + Hobbies_CA_2.l3 + Hobbies_CA_3.l3 + Hobbies_CA_1.l4 + Hobbies_CA_2.l4 + Hobbies_CA_3.l4 + Hobbies_CA_1.l5 + Hobbies_CA_2.l5 + Hobbies_CA_3.l5 + Hobbies_CA_1.l6 + Hobbies_CA_2.l6 + Hobbies_CA_3.l6 + Hobbies_CA_1.l7 + Hobbies_CA_2.l7 + Hobbies_CA_3.l7 + Hobbies_CA_1.l8 + Hobbies_CA_2.l8 + Hobbies_CA_3.l8 + Hobbies_CA_1.l9 + Hobbies_CA_2.l9 + Hobbies_CA_3.l9 + Hobbies_CA_1.l10 + Hobbies_CA_2.l10 + Hobbies_CA_3.l10 + Hobbies_CA_1.l11 + Hobbies_CA_2.l11 + Hobbies_CA_3.l11 + Hobbies_CA_1.l12 + Hobbies_CA_2.l12 + Hobbies_CA_3.l12 + Hobbies_CA_1.l13 + Hobbies_CA_2.l13 + Hobbies_CA_3.l13 + Hobbies_CA_1.l14 + Hobbies_CA_2.l14 + Hobbies_CA_3.l14 + Hobbies_CA_1.l15 + Hobbies_CA_2.l15 + Hobbies_CA_3.l15 + Hobbies_CA_1.l16 + Hobbies_CA_2.l16 + Hobbies_CA_3.l16 + Hobbies_CA_1.l17 + Hobbies_CA_2.l17 + Hobbies_CA_3.l17 + Hobbies_CA_1.l18 + Hobbies_CA_2.l18 + Hobbies_CA_3.l18 + Hobbies_CA_1.l19 + Hobbies_CA_2.l19 + Hobbies_CA_3.l19 + Hobbies_CA_1.l20 + Hobbies_CA_2.l20 + Hobbies_CA_3.l20 + Hobbies_CA_1.l21 + Hobbies_CA_2.l21 + Hobbies_CA_3.l21 + Hobbies_CA_1.l22 + Hobbies_CA_2.l22 + Hobbies_CA_3.l22 + Hobbies_CA_1.l23 + Hobbies_CA_2.l23 + Hobbies_CA_3.l23 + Hobbies_CA_1.l24 + Hobbies_CA_2.l24 + Hobbies_CA_3.l24 + Hobbies_CA_1.l25 + Hobbies_CA_2.l25 + Hobbies_CA_3.l25 + Hobbies_CA_1.l26 + Hobbies_CA_2.l26 + Hobbies_CA_3.l26 + Hobbies_CA_1.l27 + Hobbies_CA_2.l27 + Hobbies_CA_3.l27 + Hobbies_CA_1.l28 + Hobbies_CA_2.l28 + Hobbies_CA_3.l28 + const 
## 
##                    Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_1.l1   0.1496449  0.0247244   6.053 1.72e-09 ***
## Hobbies_CA_2.l1   0.0557265  0.0310687   1.794 0.073032 .  
## Hobbies_CA_3.l1   0.0537853  0.0235752   2.281 0.022635 *  
## Hobbies_CA_1.l2   0.0139294  0.0250922   0.555 0.578872    
## Hobbies_CA_2.l2  -0.0488395  0.0310201  -1.574 0.115554    
## Hobbies_CA_3.l2   0.0683426  0.0236499   2.890 0.003900 ** 
## Hobbies_CA_1.l3   0.0052973  0.0251211   0.211 0.833012    
## Hobbies_CA_2.l3   0.0270719  0.0310310   0.872 0.383095    
## Hobbies_CA_3.l3   0.0097927  0.0237087   0.413 0.679623    
## Hobbies_CA_1.l4   0.0145825  0.0251348   0.580 0.561869    
## Hobbies_CA_2.l4  -0.0266240  0.0310143  -0.858 0.390760    
## Hobbies_CA_3.l4   0.0246296  0.0236781   1.040 0.298390    
## Hobbies_CA_1.l5  -0.0153121  0.0250795  -0.611 0.541578    
## Hobbies_CA_2.l5   0.0133051  0.0310077   0.429 0.667907    
## Hobbies_CA_3.l5  -0.0159366  0.0237904  -0.670 0.503020    
## Hobbies_CA_1.l6   0.0441110  0.0250702   1.760 0.078657 .  
## Hobbies_CA_2.l6  -0.0243738  0.0309780  -0.787 0.431494    
## Hobbies_CA_3.l6   0.0312418  0.0237399   1.316 0.188336    
## Hobbies_CA_1.l7   0.0830958  0.0250435   3.318 0.000924 ***
## Hobbies_CA_2.l7   0.1182629  0.0310499   3.809 0.000144 ***
## Hobbies_CA_3.l7   0.0291205  0.0237617   1.226 0.220534    
## Hobbies_CA_1.l8  -0.0076709  0.0251029  -0.306 0.759960    
## Hobbies_CA_2.l8   0.0057568  0.0313917   0.183 0.854515    
## Hobbies_CA_3.l8  -0.0300904  0.0237879  -1.265 0.206050    
## Hobbies_CA_1.l9   0.0168554  0.0251062   0.671 0.502073    
## Hobbies_CA_2.l9  -0.0129272  0.0314500  -0.411 0.681092    
## Hobbies_CA_3.l9  -0.0433157  0.0238050  -1.820 0.068981 .  
## Hobbies_CA_1.l10  0.0333675  0.0250759   1.331 0.183464    
## Hobbies_CA_2.l10  0.0252451  0.0313909   0.804 0.421374    
## Hobbies_CA_3.l10 -0.0188634  0.0238170  -0.792 0.428453    
## Hobbies_CA_1.l11  0.0220435  0.0250623   0.880 0.379218    
## Hobbies_CA_2.l11  0.0147763  0.0313991   0.471 0.637985    
## Hobbies_CA_3.l11 -0.0023887  0.0238269  -0.100 0.920156    
## Hobbies_CA_1.l12 -0.0072593  0.0250713  -0.290 0.772195    
## Hobbies_CA_2.l12 -0.0124848  0.0314205  -0.397 0.691159    
## Hobbies_CA_3.l12 -0.0239765  0.0238035  -1.007 0.313936    
## Hobbies_CA_1.l13  0.0300136  0.0250616   1.198 0.231229    
## Hobbies_CA_2.l13  0.0207100  0.0313157   0.661 0.508482    
## Hobbies_CA_3.l13  0.0412609  0.0238373   1.731 0.083628 .  
## Hobbies_CA_1.l14  0.0923361  0.0250605   3.685 0.000236 ***
## Hobbies_CA_2.l14  0.0557658  0.0312998   1.782 0.074967 .  
## Hobbies_CA_3.l14 -0.0051899  0.0238397  -0.218 0.827687    
## Hobbies_CA_1.l15  0.0062489  0.0250522   0.249 0.803052    
## Hobbies_CA_2.l15  0.0212907  0.0313659   0.679 0.497359    
## Hobbies_CA_3.l15 -0.0014504  0.0237959  -0.061 0.951403    
## Hobbies_CA_1.l16  0.0450622  0.0250620   1.798 0.072335 .  
## Hobbies_CA_2.l16 -0.0536261  0.0313173  -1.712 0.086999 .  
## Hobbies_CA_3.l16 -0.0067203  0.0238146  -0.282 0.777828    
## Hobbies_CA_1.l17 -0.0394191  0.0250707  -1.572 0.116048    
## Hobbies_CA_2.l17 -0.0250147  0.0313212  -0.799 0.424595    
## Hobbies_CA_3.l17  0.0153025  0.0238157   0.643 0.520603    
## Hobbies_CA_1.l18  0.0484212  0.0250839   1.930 0.053713 .  
## Hobbies_CA_2.l18 -0.0394064  0.0313010  -1.259 0.208207    
## Hobbies_CA_3.l18 -0.0424595  0.0237823  -1.785 0.074370 .  
## Hobbies_CA_1.l19  0.0542046  0.0251191   2.158 0.031063 *  
## Hobbies_CA_2.l19 -0.0908580  0.0313008  -2.903 0.003743 ** 
## Hobbies_CA_3.l19  0.0133570  0.0238002   0.561 0.574718    
## Hobbies_CA_1.l20 -0.0026422  0.0251427  -0.105 0.916317    
## Hobbies_CA_2.l20  0.0069789  0.0314013   0.222 0.824144    
## Hobbies_CA_3.l20  0.0238925  0.0237600   1.006 0.314751    
## Hobbies_CA_1.l21  0.0124960  0.0250646   0.499 0.618153    
## Hobbies_CA_2.l21  0.0435149  0.0313446   1.388 0.165221    
## Hobbies_CA_3.l21  0.0318021  0.0237861   1.337 0.181384    
## Hobbies_CA_1.l22 -0.0266760  0.0248935  -1.072 0.284037    
## Hobbies_CA_2.l22  0.0009055  0.0311284   0.029 0.976798    
## Hobbies_CA_3.l22  0.0319030  0.0237842   1.341 0.179970    
## Hobbies_CA_1.l23  0.0085642  0.0248674   0.344 0.730589    
## Hobbies_CA_2.l23 -0.0614830  0.0311135  -1.976 0.048293 *  
## Hobbies_CA_3.l23  0.0055101  0.0238016   0.231 0.816952    
## Hobbies_CA_1.l24 -0.0518397  0.0248998  -2.082 0.037485 *  
## Hobbies_CA_2.l24 -0.0213339  0.0311518  -0.685 0.493532    
## Hobbies_CA_3.l24 -0.0005795  0.0238212  -0.024 0.980593    
## Hobbies_CA_1.l25 -0.0303307  0.0249351  -1.216 0.223993    
## Hobbies_CA_2.l25  0.0094541  0.0311709   0.303 0.761696    
## Hobbies_CA_3.l25  0.0007313  0.0236911   0.031 0.975377    
## Hobbies_CA_1.l26  0.0002045  0.0249470   0.008 0.993462    
## Hobbies_CA_2.l26  0.0264602  0.0311008   0.851 0.394997    
## Hobbies_CA_3.l26 -0.0011692  0.0237062  -0.049 0.960669    
## Hobbies_CA_1.l27  0.0151697  0.0249112   0.609 0.542632    
## Hobbies_CA_2.l27  0.0200324  0.0310898   0.644 0.519436    
## Hobbies_CA_3.l27  0.0218418  0.0236846   0.922 0.356546    
## Hobbies_CA_1.l28  0.1024232  0.0247102   4.145 3.55e-05 ***
## Hobbies_CA_2.l28  0.0415709  0.0310519   1.339 0.180814    
## Hobbies_CA_3.l28  0.0075447  0.0236039   0.320 0.749278    
## const            22.9973912 10.3954830   2.212 0.027071 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 62.79 on 1856 degrees of freedom
## Multiple R-Squared: 0.5175,  Adjusted R-squared: 0.4957 
## F-statistic:  23.7 on 84 and 1856 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Hobbies_CA_2: 
## ============================================= 
## Hobbies_CA_2 = Hobbies_CA_1.l1 + Hobbies_CA_2.l1 + Hobbies_CA_3.l1 + Hobbies_CA_1.l2 + Hobbies_CA_2.l2 + Hobbies_CA_3.l2 + Hobbies_CA_1.l3 + Hobbies_CA_2.l3 + Hobbies_CA_3.l3 + Hobbies_CA_1.l4 + Hobbies_CA_2.l4 + Hobbies_CA_3.l4 + Hobbies_CA_1.l5 + Hobbies_CA_2.l5 + Hobbies_CA_3.l5 + Hobbies_CA_1.l6 + Hobbies_CA_2.l6 + Hobbies_CA_3.l6 + Hobbies_CA_1.l7 + Hobbies_CA_2.l7 + Hobbies_CA_3.l7 + Hobbies_CA_1.l8 + Hobbies_CA_2.l8 + Hobbies_CA_3.l8 + Hobbies_CA_1.l9 + Hobbies_CA_2.l9 + Hobbies_CA_3.l9 + Hobbies_CA_1.l10 + Hobbies_CA_2.l10 + Hobbies_CA_3.l10 + Hobbies_CA_1.l11 + Hobbies_CA_2.l11 + Hobbies_CA_3.l11 + Hobbies_CA_1.l12 + Hobbies_CA_2.l12 + Hobbies_CA_3.l12 + Hobbies_CA_1.l13 + Hobbies_CA_2.l13 + Hobbies_CA_3.l13 + Hobbies_CA_1.l14 + Hobbies_CA_2.l14 + Hobbies_CA_3.l14 + Hobbies_CA_1.l15 + Hobbies_CA_2.l15 + Hobbies_CA_3.l15 + Hobbies_CA_1.l16 + Hobbies_CA_2.l16 + Hobbies_CA_3.l16 + Hobbies_CA_1.l17 + Hobbies_CA_2.l17 + Hobbies_CA_3.l17 + Hobbies_CA_1.l18 + Hobbies_CA_2.l18 + Hobbies_CA_3.l18 + Hobbies_CA_1.l19 + Hobbies_CA_2.l19 + Hobbies_CA_3.l19 + Hobbies_CA_1.l20 + Hobbies_CA_2.l20 + Hobbies_CA_3.l20 + Hobbies_CA_1.l21 + Hobbies_CA_2.l21 + Hobbies_CA_3.l21 + Hobbies_CA_1.l22 + Hobbies_CA_2.l22 + Hobbies_CA_3.l22 + Hobbies_CA_1.l23 + Hobbies_CA_2.l23 + Hobbies_CA_3.l23 + Hobbies_CA_1.l24 + Hobbies_CA_2.l24 + Hobbies_CA_3.l24 + Hobbies_CA_1.l25 + Hobbies_CA_2.l25 + Hobbies_CA_3.l25 + Hobbies_CA_1.l26 + Hobbies_CA_2.l26 + Hobbies_CA_3.l26 + Hobbies_CA_1.l27 + Hobbies_CA_2.l27 + Hobbies_CA_3.l27 + Hobbies_CA_1.l28 + Hobbies_CA_2.l28 + Hobbies_CA_3.l28 + const 
## 
##                    Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_1.l1   0.0853193  0.0195516   4.364 1.35e-05 ***
## Hobbies_CA_2.l1   0.0404757  0.0245686   1.647 0.099634 .  
## Hobbies_CA_3.l1   0.0280237  0.0186428   1.503 0.132961    
## Hobbies_CA_1.l2   0.0075478  0.0198424   0.380 0.703702    
## Hobbies_CA_2.l2  -0.0229462  0.0245301  -0.935 0.349688    
## Hobbies_CA_3.l2   0.0017067  0.0187019   0.091 0.927296    
## Hobbies_CA_1.l3   0.0420084  0.0198654   2.115 0.034592 *  
## Hobbies_CA_2.l3   0.0294316  0.0245387   1.199 0.230528    
## Hobbies_CA_3.l3  -0.0007662  0.0187484  -0.041 0.967404    
## Hobbies_CA_1.l4   0.0105182  0.0198762   0.529 0.596739    
## Hobbies_CA_2.l4   0.0049751  0.0245256   0.203 0.839271    
## Hobbies_CA_3.l4   0.0188170  0.0187242   1.005 0.315051    
## Hobbies_CA_1.l5  -0.0076500  0.0198324  -0.386 0.699739    
## Hobbies_CA_2.l5  -0.0014462  0.0245203  -0.059 0.952975    
## Hobbies_CA_3.l5   0.0223236  0.0188130   1.187 0.235534    
## Hobbies_CA_1.l6  -0.0107651  0.0198251  -0.543 0.587191    
## Hobbies_CA_2.l6   0.0594980  0.0244969   2.429 0.015244 *  
## Hobbies_CA_3.l6   0.0097495  0.0187731   0.519 0.603589    
## Hobbies_CA_1.l7   0.0130560  0.0198039   0.659 0.509809    
## Hobbies_CA_2.l7   0.1655137  0.0245537   6.741 2.09e-11 ***
## Hobbies_CA_3.l7   0.0314364  0.0187903   1.673 0.094494 .  
## Hobbies_CA_1.l8   0.0120449  0.0198509   0.607 0.544077    
## Hobbies_CA_2.l8   0.0668251  0.0248240   2.692 0.007167 ** 
## Hobbies_CA_3.l8  -0.0318454  0.0188111  -1.693 0.090641 .  
## Hobbies_CA_1.l9  -0.0298090  0.0198536  -1.501 0.133412    
## Hobbies_CA_2.l9   0.0115962  0.0248701   0.466 0.641078    
## Hobbies_CA_3.l9   0.0025186  0.0188246   0.134 0.893579    
## Hobbies_CA_1.l10 -0.0149443  0.0198296  -0.754 0.451162    
## Hobbies_CA_2.l10  0.0174069  0.0248234   0.701 0.483247    
## Hobbies_CA_3.l10  0.0248409  0.0188340   1.319 0.187354    
## Hobbies_CA_1.l11 -0.0258130  0.0198188  -1.302 0.192925    
## Hobbies_CA_2.l11  0.0201731  0.0248298   0.812 0.416635    
## Hobbies_CA_3.l11  0.0070766  0.0188419   0.376 0.707274    
## Hobbies_CA_1.l12 -0.0380857  0.0198260  -1.921 0.054885 .  
## Hobbies_CA_2.l12  0.0213259  0.0248468   0.858 0.390841    
## Hobbies_CA_3.l12 -0.0085682  0.0188234  -0.455 0.649025    
## Hobbies_CA_1.l13  0.0039749  0.0198183   0.201 0.841060    
## Hobbies_CA_2.l13  0.0735068  0.0247639   2.968 0.003033 ** 
## Hobbies_CA_3.l13  0.0107535  0.0188501   0.570 0.568424    
## Hobbies_CA_1.l14  0.0231031  0.0198174   1.166 0.243847    
## Hobbies_CA_2.l14  0.1222592  0.0247513   4.940 8.53e-07 ***
## Hobbies_CA_3.l14  0.0022145  0.0188520   0.117 0.906501    
## Hobbies_CA_1.l15 -0.0271493  0.0198109  -1.370 0.170720    
## Hobbies_CA_2.l15  0.0310547  0.0248036   1.252 0.210719    
## Hobbies_CA_3.l15 -0.0262607  0.0188174  -1.396 0.163017    
## Hobbies_CA_1.l16 -0.0123995  0.0198186  -0.626 0.531624    
## Hobbies_CA_2.l16 -0.0087354  0.0247651  -0.353 0.724333    
## Hobbies_CA_3.l16 -0.0469068  0.0188322  -2.491 0.012833 *  
## Hobbies_CA_1.l17  0.0045582  0.0198255   0.230 0.818181    
## Hobbies_CA_2.l17 -0.0239796  0.0247683  -0.968 0.333092    
## Hobbies_CA_3.l17  0.0019847  0.0188331   0.105 0.916082    
## Hobbies_CA_1.l18  0.0032330  0.0198359   0.163 0.870546    
## Hobbies_CA_2.l18  0.0026815  0.0247523   0.108 0.913744    
## Hobbies_CA_3.l18 -0.0063822  0.0188066  -0.339 0.734377    
## Hobbies_CA_1.l19  0.0084849  0.0198637   0.427 0.669316    
## Hobbies_CA_2.l19 -0.0715108  0.0247521  -2.889 0.003909 ** 
## Hobbies_CA_3.l19 -0.0132574  0.0188208  -0.704 0.481270    
## Hobbies_CA_1.l20 -0.0299367  0.0198824  -1.506 0.132317    
## Hobbies_CA_2.l20  0.0317558  0.0248316   1.279 0.201110    
## Hobbies_CA_3.l20  0.0350210  0.0187890   1.864 0.062492 .  
## Hobbies_CA_1.l21 -0.0038459  0.0198206  -0.194 0.846171    
## Hobbies_CA_2.l21  0.0904938  0.0247868   3.651 0.000269 ***
## Hobbies_CA_3.l21  0.0205613  0.0188096   1.093 0.274481    
## Hobbies_CA_1.l22 -0.0055600  0.0196854  -0.282 0.777634    
## Hobbies_CA_2.l22  0.0389297  0.0246158   1.581 0.113936    
## Hobbies_CA_3.l22 -0.0042344  0.0188081  -0.225 0.821899    
## Hobbies_CA_1.l23 -0.0127104  0.0196647  -0.646 0.518129    
## Hobbies_CA_2.l23  0.0140296  0.0246040   0.570 0.568600    
## Hobbies_CA_3.l23 -0.0403490  0.0188219  -2.144 0.032184 *  
## Hobbies_CA_1.l24 -0.0384745  0.0196903  -1.954 0.050854 .  
## Hobbies_CA_2.l24  0.0190804  0.0246343   0.775 0.438706    
## Hobbies_CA_3.l24 -0.0071361  0.0188374  -0.379 0.704858    
## Hobbies_CA_1.l25 -0.0302702  0.0197183  -1.535 0.124921    
## Hobbies_CA_2.l25  0.0315515  0.0246494   1.280 0.200702    
## Hobbies_CA_3.l25 -0.0028348  0.0187345  -0.151 0.879745    
## Hobbies_CA_1.l26 -0.0264101  0.0197276  -1.339 0.180820    
## Hobbies_CA_2.l26  0.0095998  0.0245940   0.390 0.696338    
## Hobbies_CA_3.l26 -0.0064972  0.0187464  -0.347 0.728942    
## Hobbies_CA_1.l27 -0.0033718  0.0196993  -0.171 0.864115    
## Hobbies_CA_2.l27  0.0434078  0.0245853   1.766 0.077628 .  
## Hobbies_CA_3.l27  0.0430725  0.0187294   2.300 0.021574 *  
## Hobbies_CA_1.l28  0.0249822  0.0195404   1.278 0.201236    
## Hobbies_CA_2.l28  0.1264651  0.0245553   5.150 2.88e-07 ***
## Hobbies_CA_3.l28  0.0140658  0.0186655   0.754 0.451201    
## const            10.0634830  8.2205679   1.224 0.221038    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 49.66 on 1856 degrees of freedom
## Multiple R-Squared: 0.5603,  Adjusted R-squared: 0.5404 
## F-statistic: 28.15 on 84 and 1856 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Hobbies_CA_3: 
## ============================================= 
## Hobbies_CA_3 = Hobbies_CA_1.l1 + Hobbies_CA_2.l1 + Hobbies_CA_3.l1 + Hobbies_CA_1.l2 + Hobbies_CA_2.l2 + Hobbies_CA_3.l2 + Hobbies_CA_1.l3 + Hobbies_CA_2.l3 + Hobbies_CA_3.l3 + Hobbies_CA_1.l4 + Hobbies_CA_2.l4 + Hobbies_CA_3.l4 + Hobbies_CA_1.l5 + Hobbies_CA_2.l5 + Hobbies_CA_3.l5 + Hobbies_CA_1.l6 + Hobbies_CA_2.l6 + Hobbies_CA_3.l6 + Hobbies_CA_1.l7 + Hobbies_CA_2.l7 + Hobbies_CA_3.l7 + Hobbies_CA_1.l8 + Hobbies_CA_2.l8 + Hobbies_CA_3.l8 + Hobbies_CA_1.l9 + Hobbies_CA_2.l9 + Hobbies_CA_3.l9 + Hobbies_CA_1.l10 + Hobbies_CA_2.l10 + Hobbies_CA_3.l10 + Hobbies_CA_1.l11 + Hobbies_CA_2.l11 + Hobbies_CA_3.l11 + Hobbies_CA_1.l12 + Hobbies_CA_2.l12 + Hobbies_CA_3.l12 + Hobbies_CA_1.l13 + Hobbies_CA_2.l13 + Hobbies_CA_3.l13 + Hobbies_CA_1.l14 + Hobbies_CA_2.l14 + Hobbies_CA_3.l14 + Hobbies_CA_1.l15 + Hobbies_CA_2.l15 + Hobbies_CA_3.l15 + Hobbies_CA_1.l16 + Hobbies_CA_2.l16 + Hobbies_CA_3.l16 + Hobbies_CA_1.l17 + Hobbies_CA_2.l17 + Hobbies_CA_3.l17 + Hobbies_CA_1.l18 + Hobbies_CA_2.l18 + Hobbies_CA_3.l18 + Hobbies_CA_1.l19 + Hobbies_CA_2.l19 + Hobbies_CA_3.l19 + Hobbies_CA_1.l20 + Hobbies_CA_2.l20 + Hobbies_CA_3.l20 + Hobbies_CA_1.l21 + Hobbies_CA_2.l21 + Hobbies_CA_3.l21 + Hobbies_CA_1.l22 + Hobbies_CA_2.l22 + Hobbies_CA_3.l22 + Hobbies_CA_1.l23 + Hobbies_CA_2.l23 + Hobbies_CA_3.l23 + Hobbies_CA_1.l24 + Hobbies_CA_2.l24 + Hobbies_CA_3.l24 + Hobbies_CA_1.l25 + Hobbies_CA_2.l25 + Hobbies_CA_3.l25 + Hobbies_CA_1.l26 + Hobbies_CA_2.l26 + Hobbies_CA_3.l26 + Hobbies_CA_1.l27 + Hobbies_CA_2.l27 + Hobbies_CA_3.l27 + Hobbies_CA_1.l28 + Hobbies_CA_2.l28 + Hobbies_CA_3.l28 + const 
## 
##                   Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_1.l1   0.139983   0.025791   5.427 6.47e-08 ***
## Hobbies_CA_2.l1   0.024152   0.032409   0.745  0.45623    
## Hobbies_CA_3.l1   0.077306   0.024593   3.143  0.00170 ** 
## Hobbies_CA_1.l2   0.047037   0.026175   1.797  0.07249 .  
## Hobbies_CA_2.l2  -0.002766   0.032359  -0.085  0.93189    
## Hobbies_CA_3.l2  -0.007681   0.024670  -0.311  0.75558    
## Hobbies_CA_1.l3   0.020987   0.026205   0.801  0.42331    
## Hobbies_CA_2.l3   0.005604   0.032370   0.173  0.86258    
## Hobbies_CA_3.l3  -0.003826   0.024732  -0.155  0.87707    
## Hobbies_CA_1.l4   0.005455   0.026219   0.208  0.83520    
## Hobbies_CA_2.l4  -0.033103   0.032353  -1.023  0.30635    
## Hobbies_CA_3.l4   0.109080   0.024700   4.416 1.06e-05 ***
## Hobbies_CA_1.l5   0.004455   0.026162   0.170  0.86481    
## Hobbies_CA_2.l5  -0.042427   0.032346  -1.312  0.18979    
## Hobbies_CA_3.l5   0.028079   0.024817   1.131  0.25801    
## Hobbies_CA_1.l6   0.031042   0.026152   1.187  0.23538    
## Hobbies_CA_2.l6  -0.024808   0.032315  -0.768  0.44277    
## Hobbies_CA_3.l6   0.049215   0.024764   1.987  0.04703 *  
## Hobbies_CA_1.l7  -0.003474   0.026124  -0.133  0.89422    
## Hobbies_CA_2.l7   0.064573   0.032390   1.994  0.04634 *  
## Hobbies_CA_3.l7   0.084560   0.024787   3.411  0.00066 ***
## Hobbies_CA_1.l8   0.007720   0.026186   0.295  0.76817    
## Hobbies_CA_2.l8   0.032867   0.032746   1.004  0.31566    
## Hobbies_CA_3.l8  -0.030582   0.024814  -1.232  0.21794    
## Hobbies_CA_1.l9  -0.017688   0.026190  -0.675  0.49951    
## Hobbies_CA_2.l9  -0.037982   0.032807  -1.158  0.24713    
## Hobbies_CA_3.l9   0.010975   0.024832   0.442  0.65857    
## Hobbies_CA_1.l10  0.012066   0.026158   0.461  0.64467    
## Hobbies_CA_2.l10 -0.013608   0.032746  -0.416  0.67777    
## Hobbies_CA_3.l10  0.016856   0.024845   0.678  0.49756    
## Hobbies_CA_1.l11 -0.025487   0.026144  -0.975  0.32974    
## Hobbies_CA_2.l11 -0.053834   0.032754  -1.644  0.10043    
## Hobbies_CA_3.l11 -0.010973   0.024855  -0.441  0.65891    
## Hobbies_CA_1.l12 -0.025643   0.026153  -0.980  0.32697    
## Hobbies_CA_2.l12 -0.041289   0.032776  -1.260  0.20793    
## Hobbies_CA_3.l12  0.042658   0.024831   1.718  0.08597 .  
## Hobbies_CA_1.l13  0.021624   0.026143   0.827  0.40826    
## Hobbies_CA_2.l13 -0.005622   0.032667  -0.172  0.86338    
## Hobbies_CA_3.l13  0.072696   0.024866   2.924  0.00350 ** 
## Hobbies_CA_1.l14  0.013475   0.026142   0.515  0.60630    
## Hobbies_CA_2.l14  0.057522   0.032650   1.762  0.07828 .  
## Hobbies_CA_3.l14  0.076803   0.024868   3.088  0.00204 ** 
## Hobbies_CA_1.l15  0.028473   0.026133   1.090  0.27606    
## Hobbies_CA_2.l15 -0.015704   0.032719  -0.480  0.63130    
## Hobbies_CA_3.l15  0.055423   0.024823   2.233  0.02569 *  
## Hobbies_CA_1.l16  0.006825   0.026144   0.261  0.79408    
## Hobbies_CA_2.l16 -0.034809   0.032669  -1.066  0.28679    
## Hobbies_CA_3.l16  0.016661   0.024842   0.671  0.50252    
## Hobbies_CA_1.l17 -0.019887   0.026153  -0.760  0.44709    
## Hobbies_CA_2.l17 -0.013450   0.032673  -0.412  0.68065    
## Hobbies_CA_3.l17  0.016488   0.024843   0.664  0.50699    
## Hobbies_CA_1.l18  0.005787   0.026166   0.221  0.82500    
## Hobbies_CA_2.l18 -0.003225   0.032652  -0.099  0.92133    
## Hobbies_CA_3.l18  0.017181   0.024809   0.693  0.48868    
## Hobbies_CA_1.l19 -0.022313   0.026203  -0.852  0.39458    
## Hobbies_CA_2.l19 -0.074784   0.032652  -2.290  0.02211 *  
## Hobbies_CA_3.l19  0.021095   0.024827   0.850  0.39561    
## Hobbies_CA_1.l20  0.005892   0.026228   0.225  0.82227    
## Hobbies_CA_2.l20 -0.020755   0.032756  -0.634  0.52640    
## Hobbies_CA_3.l20  0.009219   0.024785   0.372  0.70997    
## Hobbies_CA_1.l21 -0.028431   0.026146  -1.087  0.27700    
## Hobbies_CA_2.l21  0.013685   0.032697   0.419  0.67560    
## Hobbies_CA_3.l21  0.077787   0.024813   3.135  0.00175 ** 
## Hobbies_CA_1.l22 -0.005156   0.025968  -0.199  0.84263    
## Hobbies_CA_2.l22  0.068453   0.032472   2.108  0.03516 *  
## Hobbies_CA_3.l22  0.008496   0.024811   0.342  0.73205    
## Hobbies_CA_1.l23 -0.067658   0.025941  -2.608  0.00918 ** 
## Hobbies_CA_2.l23 -0.034614   0.032456  -1.066  0.28635    
## Hobbies_CA_3.l23  0.008734   0.024829   0.352  0.72505    
## Hobbies_CA_1.l24 -0.030650   0.025974  -1.180  0.23815    
## Hobbies_CA_2.l24  0.031149   0.032496   0.959  0.33791    
## Hobbies_CA_3.l24  0.007169   0.024849   0.289  0.77298    
## Hobbies_CA_1.l25 -0.007700   0.026011  -0.296  0.76725    
## Hobbies_CA_2.l25  0.034007   0.032516   1.046  0.29576    
## Hobbies_CA_3.l25  0.039324   0.024713   1.591  0.11174    
## Hobbies_CA_1.l26 -0.007718   0.026024  -0.297  0.76681    
## Hobbies_CA_2.l26  0.024884   0.032443   0.767  0.44317    
## Hobbies_CA_3.l26  0.002432   0.024729   0.098  0.92167    
## Hobbies_CA_1.l27 -0.007451   0.025986  -0.287  0.77435    
## Hobbies_CA_2.l27 -0.006728   0.032431  -0.207  0.83567    
## Hobbies_CA_3.l27  0.055901   0.024707   2.263  0.02378 *  
## Hobbies_CA_1.l28  0.051543   0.025777   2.000  0.04569 *  
## Hobbies_CA_2.l28  0.037836   0.032392   1.168  0.24293    
## Hobbies_CA_3.l28  0.038662   0.024622   1.570  0.11654    
## const            13.769230  10.844088   1.270  0.20433    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 65.5 on 1856 degrees of freedom
## Multiple R-Squared: 0.5719,  Adjusted R-squared: 0.5525 
## F-statistic: 29.52 on 84 and 1856 DF,  p-value: < 2.2e-16 
## 
## 
## 
## Covariance matrix of residuals:
##              Hobbies_CA_1 Hobbies_CA_2 Hobbies_CA_3
## Hobbies_CA_1       3943.0        904.9         1121
## Hobbies_CA_2        904.9       2465.7          855
## Hobbies_CA_3       1121.4        855.0         4291
## 
## Correlation matrix of residuals:
##              Hobbies_CA_1 Hobbies_CA_2 Hobbies_CA_3
## Hobbies_CA_1       1.0000       0.2902       0.2726
## Hobbies_CA_2       0.2902       1.0000       0.2629
## Hobbies_CA_3       0.2726       0.2629       1.0000
Serial_hobby <- serial.test(Model_hobby, lags.pt = 5, type = "PT.asymptotic")
## Warning in pchisq(STATISTIC, df = PARAMETER): NaNs produced

## Warning in pchisq(STATISTIC, df = PARAMETER): NaNs produced
Serial_hobby
## 
##  Portmanteau Test (asymptotic)
## 
## data:  Residuals of VAR object Model_hobby
## Chi-squared = 1.1929, df = -207, p-value = NA
Arch_hobby <- arch.test(Model_hobby, lags.multi = 15, multivariate.only = TRUE)
Arch_hobby
## 
##  ARCH (multivariate)
## 
## data:  Residuals of VAR object Model_hobby
## Chi-squared = 657.31, df = 540, p-value = 0.0003901
Norm_hobby <- normality.test(Model_hobby, multivariate.only = TRUE)
Norm_hobby
## $JB
## 
##  JB-Test (multivariate)
## 
## data:  Residuals of VAR object Model_hobby
## Chi-squared = 568.73, df = 6, p-value < 2.2e-16
## 
## 
## $Skewness
## 
##  Skewness only (multivariate)
## 
## data:  Residuals of VAR object Model_hobby
## Chi-squared = 59.605, df = 3, p-value = 7.139e-13
## 
## 
## $Kurtosis
## 
##  Kurtosis only (multivariate)
## 
## data:  Residuals of VAR object Model_hobby
## Chi-squared = 509.13, df = 3, p-value < 2.2e-16
Stability_hobby <- stability(Model_hobby, type = "OLS-CUSUM")
plot(Stability_hobby)

forecast <- predict(Model_hobby, n.ahead = 28, ci = 0.95)
result_hobby = forecast$fcst$Hobbies_CA_1+forecast$fcst$Hobbies_CA_2+forecast$fcst$Hobbies_CA_3
print(result_hobby)
##            fcst     lower    upper       CI
##  [1,] 1050.1934  701.4144 1398.972 348.7790
##  [2,]  993.3086  639.2396 1347.378 354.0690
##  [3,] 1028.5736  673.3713 1383.776 355.2023
##  [4,] 1050.4894  694.7218 1406.257 355.7676
##  [5,] 1201.0746  844.1037 1558.045 356.9709
##  [6,] 1357.4274 1000.1055 1714.749 357.3218
##  [7,] 1255.6921  897.5203 1613.864 358.1718
##  [8,] 1012.9224  649.8700 1375.975 363.0524
##  [9,]  990.0824  625.8036 1354.361 364.2788
## [10,] 1034.6852  670.2286 1399.142 364.4566
## [11,] 1004.9522  640.0449 1369.859 364.9073
## [12,] 1176.6572  811.3863 1541.928 365.2709
## [13,] 1348.0941  982.5208 1713.667 365.5733
## [14,] 1237.2726  870.3510 1604.194 366.9216
## [15,] 1025.4989  653.3495 1397.648 372.1494
## [16,]  977.6715  603.6848 1351.658 373.9867
## [17,] 1014.0170  639.2977 1388.736 374.7192
## [18,] 1044.5832  669.5356 1419.631 375.0476
## [19,] 1200.2349  824.6811 1575.789 375.5537
## [20,] 1364.1585  987.4793 1740.838 376.6793
## [21,] 1261.9034  884.2550 1639.552 377.6484
## [22,] 1051.2799  669.3772 1433.183 381.9027
## [23,]  990.9859  607.4914 1374.480 383.4945
## [24,] 1042.1361  658.1673 1426.105 383.9688
## [25,] 1041.6032  657.3362 1425.870 384.2670
## [26,] 1183.9646  799.1593 1568.770 384.8053
## [27,] 1331.9574  946.8864 1717.028 385.0710
## [28,] 1227.4598  840.6514 1614.268 386.8085

Analysis for the second type of products HOUSEHOLD

We use similar codes as in 2.1 to build models for different types of products.

v_household <- cbind(Household_1_CA_1, Household_2_CA_1, Household_1_CA_2, Household_2_CA_2, Household_1_CA_3, Household_2_CA_3)
colnames(v_household) <- cbind("Household_1_CA_1","Household_2_CA_1","Household_1_CA_2", "Household_2_CA_2", "Household_1_CA_3", "Household_2_CA_3")
lagselect <- VARselect(v_household, lag.max = 60, type = "const")
lagselect$selection
## AIC(n)  HQ(n)  SC(n) FPE(n) 
##     14      7      7     14
Model_household <- VAR(v_household, p = 14, type = "const", season = NULL, exog = NULL) 
summary(Model_household)
## 
## VAR Estimation Results:
## ========================= 
## Endogenous variables: Household_1_CA_1, Household_2_CA_1, Household_1_CA_2, Household_2_CA_2, Household_1_CA_3, Household_2_CA_3 
## Deterministic variables: const 
## Sample size: 1955 
## Log Likelihood: -53784.458 
## Roots of the characteristic polynomial:
## 0.9967 0.9967 0.9955 0.9955 0.9844 0.9844 0.9797 0.9617 0.9617 0.9216 0.9216 0.9199 0.9199 0.9163 0.9163 0.9094 0.909 0.909 0.9031 0.9031 0.895 0.895 0.8831  0.88  0.88 0.876 0.876 0.8709 0.8709 0.8708 0.8628 0.8628 0.8627 0.8627 0.8583 0.8583 0.8561 0.8561 0.8539 0.8539 0.8535 0.8535 0.8521 0.8521 0.8517 0.8517 0.8499 0.8499 0.8444 0.8338 0.8338 0.8297 0.8297 0.8246 0.8246 0.824 0.824 0.8235 0.8235 0.8223 0.8223 0.8204 0.8204 0.8184 0.8184 0.816 0.8029 0.8029 0.7977 0.7977 0.7752 0.7752 0.7741 0.7741 0.7678 0.7678 0.7603 0.742 0.742 0.7319 0.7319 0.6625 0.6625 0.05893
## Call:
## VAR(y = v_household, p = 14, type = "const", exogen = NULL)
## 
## 
## Estimation results for equation Household_1_CA_1: 
## ================================================= 
## Household_1_CA_1 = Household_1_CA_1.l1 + Household_2_CA_1.l1 + Household_1_CA_2.l1 + Household_2_CA_2.l1 + Household_1_CA_3.l1 + Household_2_CA_3.l1 + Household_1_CA_1.l2 + Household_2_CA_1.l2 + Household_1_CA_2.l2 + Household_2_CA_2.l2 + Household_1_CA_3.l2 + Household_2_CA_3.l2 + Household_1_CA_1.l3 + Household_2_CA_1.l3 + Household_1_CA_2.l3 + Household_2_CA_2.l3 + Household_1_CA_3.l3 + Household_2_CA_3.l3 + Household_1_CA_1.l4 + Household_2_CA_1.l4 + Household_1_CA_2.l4 + Household_2_CA_2.l4 + Household_1_CA_3.l4 + Household_2_CA_3.l4 + Household_1_CA_1.l5 + Household_2_CA_1.l5 + Household_1_CA_2.l5 + Household_2_CA_2.l5 + Household_1_CA_3.l5 + Household_2_CA_3.l5 + Household_1_CA_1.l6 + Household_2_CA_1.l6 + Household_1_CA_2.l6 + Household_2_CA_2.l6 + Household_1_CA_3.l6 + Household_2_CA_3.l6 + Household_1_CA_1.l7 + Household_2_CA_1.l7 + Household_1_CA_2.l7 + Household_2_CA_2.l7 + Household_1_CA_3.l7 + Household_2_CA_3.l7 + Household_1_CA_1.l8 + Household_2_CA_1.l8 + Household_1_CA_2.l8 + Household_2_CA_2.l8 + Household_1_CA_3.l8 + Household_2_CA_3.l8 + Household_1_CA_1.l9 + Household_2_CA_1.l9 + Household_1_CA_2.l9 + Household_2_CA_2.l9 + Household_1_CA_3.l9 + Household_2_CA_3.l9 + Household_1_CA_1.l10 + Household_2_CA_1.l10 + Household_1_CA_2.l10 + Household_2_CA_2.l10 + Household_1_CA_3.l10 + Household_2_CA_3.l10 + Household_1_CA_1.l11 + Household_2_CA_1.l11 + Household_1_CA_2.l11 + Household_2_CA_2.l11 + Household_1_CA_3.l11 + Household_2_CA_3.l11 + Household_1_CA_1.l12 + Household_2_CA_1.l12 + Household_1_CA_2.l12 + Household_2_CA_2.l12 + Household_1_CA_3.l12 + Household_2_CA_3.l12 + Household_1_CA_1.l13 + Household_2_CA_1.l13 + Household_1_CA_2.l13 + Household_2_CA_2.l13 + Household_1_CA_3.l13 + Household_2_CA_3.l13 + Household_1_CA_1.l14 + Household_2_CA_1.l14 + Household_1_CA_2.l14 + Household_2_CA_2.l14 + Household_1_CA_3.l14 + Household_2_CA_3.l14 + const 
## 
##                        Estimate Std. Error t value Pr(>|t|)    
## Household_1_CA_1.l1   0.1609737  0.0283499   5.678 1.58e-08 ***
## Household_2_CA_1.l1   0.1246131  0.0482939   2.580 0.009947 ** 
## Household_1_CA_2.l1   0.0703023  0.0283267   2.482 0.013158 *  
## Household_2_CA_2.l1  -0.0569293  0.0364686  -1.561 0.118681    
## Household_1_CA_3.l1   0.0748117  0.0183684   4.073 4.84e-05 ***
## Household_2_CA_3.l1  -0.0779975  0.0332381  -2.347 0.019048 *  
## Household_1_CA_1.l2   0.1062528  0.0286222   3.712 0.000211 ***
## Household_2_CA_1.l2  -0.0753123  0.0489000  -1.540 0.123698    
## Household_1_CA_2.l2  -0.0663147  0.0288536  -2.298 0.021654 *  
## Household_2_CA_2.l2  -0.0529352  0.0367604  -1.440 0.150033    
## Household_1_CA_3.l2  -0.0029556  0.0189365  -0.156 0.875985    
## Household_2_CA_3.l2  -0.0393081  0.0337913  -1.163 0.244872    
## Household_1_CA_1.l3   0.0322915  0.0286582   1.127 0.259981    
## Household_2_CA_1.l3  -0.0180373  0.0490033  -0.368 0.712853    
## Household_1_CA_2.l3   0.0045746  0.0290420   0.158 0.874854    
## Household_2_CA_2.l3  -0.0180941  0.0368447  -0.491 0.623420    
## Household_1_CA_3.l3  -0.0065049  0.0189968  -0.342 0.732073    
## Household_2_CA_3.l3  -0.0168174  0.0339132  -0.496 0.620027    
## Household_1_CA_1.l4  -0.0140032  0.0286394  -0.489 0.624935    
## Household_2_CA_1.l4  -0.0618764  0.0489789  -1.263 0.206628    
## Household_1_CA_2.l4  -0.0297630  0.0290584  -1.024 0.305852    
## Household_2_CA_2.l4  -0.0865962  0.0369057  -2.346 0.019059 *  
## Household_1_CA_3.l4   0.0384501  0.0189836   2.025 0.042964 *  
## Household_2_CA_3.l4   0.0095744  0.0339484   0.282 0.777954    
## Household_1_CA_1.l5   0.0778544  0.0286670   2.716 0.006672 ** 
## Household_2_CA_1.l5  -0.0504053  0.0490917  -1.027 0.304667    
## Household_1_CA_2.l5  -0.0774131  0.0290318  -2.666 0.007731 ** 
## Household_2_CA_2.l5  -0.0289863  0.0369883  -0.784 0.433338    
## Household_1_CA_3.l5   0.0024407  0.0190062   0.128 0.897834    
## Household_2_CA_3.l5  -0.0480821  0.0340241  -1.413 0.157770    
## Household_1_CA_1.l6   0.0501276  0.0287860   1.741 0.081780 .  
## Household_2_CA_1.l6   0.0031691  0.0490378   0.065 0.948478    
## Household_1_CA_2.l6  -0.0127659  0.0290850  -0.439 0.660771    
## Household_2_CA_2.l6  -0.0021457  0.0369516  -0.058 0.953700    
## Household_1_CA_3.l6   0.0262769  0.0190293   1.381 0.167484    
## Household_2_CA_3.l6  -0.0053411  0.0340797  -0.157 0.875480    
## Household_1_CA_1.l7   0.0841310  0.0289139   2.910 0.003660 ** 
## Household_2_CA_1.l7  -0.0338102  0.0492458  -0.687 0.492446    
## Household_1_CA_2.l7   0.1869229  0.0291299   6.417 1.76e-10 ***
## Household_2_CA_2.l7   0.0682777  0.0368114   1.855 0.063783 .  
## Household_1_CA_3.l7  -0.0379874  0.0189951  -2.000 0.045661 *  
## Household_2_CA_3.l7   0.0442779  0.0344290   1.286 0.198580    
## Household_1_CA_1.l8   0.0409370  0.0288215   1.420 0.155668    
## Household_2_CA_1.l8   0.0217641  0.0492687   0.442 0.658727    
## Household_1_CA_2.l8  -0.0076765  0.0296962  -0.259 0.796048    
## Household_2_CA_2.l8   0.0554433  0.0367228   1.510 0.131269    
## Household_1_CA_3.l8  -0.0121107  0.0190105  -0.637 0.524169    
## Household_2_CA_3.l8  -0.0228010  0.0344979  -0.661 0.508733    
## Household_1_CA_1.l9   0.0034947  0.0288302   0.121 0.903534    
## Household_2_CA_1.l9   0.0342708  0.0489263   0.700 0.483728    
## Household_1_CA_2.l9  -0.0418817  0.0296787  -1.411 0.158361    
## Household_2_CA_2.l9  -0.0357302  0.0368851  -0.969 0.332825    
## Household_1_CA_3.l9  -0.0258307  0.0189709  -1.362 0.173490    
## Household_2_CA_3.l9   0.0299394  0.0342221   0.875 0.381766    
## Household_1_CA_1.l10  0.0057573  0.0287177   0.200 0.841126    
## Household_2_CA_1.l10  0.1153640  0.0488319   2.362 0.018255 *  
## Household_1_CA_2.l10 -0.0107840  0.0296094  -0.364 0.715745    
## Household_2_CA_2.l10  0.0027802  0.0368768   0.075 0.939912    
## Household_1_CA_3.l10  0.0130701  0.0190167   0.687 0.491980    
## Household_2_CA_3.l10 -0.0340177  0.0341271  -0.997 0.318992    
## Household_1_CA_1.l11 -0.0165720  0.0286519  -0.578 0.563070    
## Household_2_CA_1.l11  0.0482897  0.0486664   0.992 0.321199    
## Household_1_CA_2.l11  0.0068363  0.0297117   0.230 0.818049    
## Household_2_CA_2.l11  0.0422153  0.0370134   1.141 0.254207    
## Household_1_CA_3.l11 -0.0227760  0.0189927  -1.199 0.230602    
## Household_2_CA_3.l11  0.0479112  0.0340282   1.408 0.159301    
## Household_1_CA_1.l12  0.0144408  0.0286761   0.504 0.614613    
## Household_2_CA_1.l12 -0.0205569  0.0487044  -0.422 0.673020    
## Household_1_CA_2.l12 -0.0024426  0.0296364  -0.082 0.934323    
## Household_2_CA_2.l12  0.0247670  0.0369175   0.671 0.502383    
## Household_1_CA_3.l12 -0.0022990  0.0189940  -0.121 0.903675    
## Household_2_CA_3.l12  0.0954343  0.0340790   2.800 0.005157 ** 
## Household_1_CA_1.l13  0.0893392  0.0285771   3.126 0.001798 ** 
## Household_2_CA_1.l13 -0.0201787  0.0484643  -0.416 0.677193    
## Household_1_CA_2.l13 -0.0708274  0.0295514  -2.397 0.016639 *  
## Household_2_CA_2.l13  0.0009072  0.0367741   0.025 0.980321    
## Household_1_CA_3.l13  0.0265678  0.0189506   1.402 0.161095    
## Household_2_CA_3.l13  0.0054621  0.0340426   0.160 0.872545    
## Household_1_CA_1.l14  0.1627621  0.0281655   5.779 8.80e-09 ***
## Household_2_CA_1.l14  0.0683026  0.0480676   1.421 0.155492    
## Household_1_CA_2.l14  0.0950849  0.0290184   3.277 0.001069 ** 
## Household_2_CA_2.l14  0.0213471  0.0363538   0.587 0.557137    
## Household_1_CA_3.l14  0.0158597  0.0183376   0.865 0.387218    
## Household_2_CA_3.l14 -0.0178595  0.0335592  -0.532 0.594665    
## const                 1.6946592  5.7558170   0.294 0.768465    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 30.5 on 1870 degrees of freedom
## Multiple R-Squared: 0.8248,  Adjusted R-squared: 0.8169 
## F-statistic: 104.8 on 84 and 1870 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Household_2_CA_1: 
## ================================================= 
## Household_2_CA_1 = Household_1_CA_1.l1 + Household_2_CA_1.l1 + Household_1_CA_2.l1 + Household_2_CA_2.l1 + Household_1_CA_3.l1 + Household_2_CA_3.l1 + Household_1_CA_1.l2 + Household_2_CA_1.l2 + Household_1_CA_2.l2 + Household_2_CA_2.l2 + Household_1_CA_3.l2 + Household_2_CA_3.l2 + Household_1_CA_1.l3 + Household_2_CA_1.l3 + Household_1_CA_2.l3 + Household_2_CA_2.l3 + Household_1_CA_3.l3 + Household_2_CA_3.l3 + Household_1_CA_1.l4 + Household_2_CA_1.l4 + Household_1_CA_2.l4 + Household_2_CA_2.l4 + Household_1_CA_3.l4 + Household_2_CA_3.l4 + Household_1_CA_1.l5 + Household_2_CA_1.l5 + Household_1_CA_2.l5 + Household_2_CA_2.l5 + Household_1_CA_3.l5 + Household_2_CA_3.l5 + Household_1_CA_1.l6 + Household_2_CA_1.l6 + Household_1_CA_2.l6 + Household_2_CA_2.l6 + Household_1_CA_3.l6 + Household_2_CA_3.l6 + Household_1_CA_1.l7 + Household_2_CA_1.l7 + Household_1_CA_2.l7 + Household_2_CA_2.l7 + Household_1_CA_3.l7 + Household_2_CA_3.l7 + Household_1_CA_1.l8 + Household_2_CA_1.l8 + Household_1_CA_2.l8 + Household_2_CA_2.l8 + Household_1_CA_3.l8 + Household_2_CA_3.l8 + Household_1_CA_1.l9 + Household_2_CA_1.l9 + Household_1_CA_2.l9 + Household_2_CA_2.l9 + Household_1_CA_3.l9 + Household_2_CA_3.l9 + Household_1_CA_1.l10 + Household_2_CA_1.l10 + Household_1_CA_2.l10 + Household_2_CA_2.l10 + Household_1_CA_3.l10 + Household_2_CA_3.l10 + Household_1_CA_1.l11 + Household_2_CA_1.l11 + Household_1_CA_2.l11 + Household_2_CA_2.l11 + Household_1_CA_3.l11 + Household_2_CA_3.l11 + Household_1_CA_1.l12 + Household_2_CA_1.l12 + Household_1_CA_2.l12 + Household_2_CA_2.l12 + Household_1_CA_3.l12 + Household_2_CA_3.l12 + Household_1_CA_1.l13 + Household_2_CA_1.l13 + Household_1_CA_2.l13 + Household_2_CA_2.l13 + Household_1_CA_3.l13 + Household_2_CA_3.l13 + Household_1_CA_1.l14 + Household_2_CA_1.l14 + Household_1_CA_2.l14 + Household_2_CA_2.l14 + Household_1_CA_3.l14 + Household_2_CA_3.l14 + const 
## 
##                        Estimate Std. Error t value Pr(>|t|)    
## Household_1_CA_1.l1   0.0001853  0.0158512   0.012 0.990674    
## Household_2_CA_1.l1   0.1990406  0.0270024   7.371 2.53e-13 ***
## Household_1_CA_2.l1   0.0042590  0.0158382   0.269 0.788030    
## Household_2_CA_2.l1  -0.0173208  0.0203905  -0.849 0.395738    
## Household_1_CA_3.l1   0.0203303  0.0102703   1.980 0.047902 *  
## Household_2_CA_3.l1  -0.0142514  0.0185843  -0.767 0.443267    
## Household_1_CA_1.l2   0.0082165  0.0160034   0.513 0.607716    
## Household_2_CA_1.l2   0.0467407  0.0273412   1.710 0.087518 .  
## Household_1_CA_2.l2  -0.0306455  0.0161328  -1.900 0.057643 .  
## Household_2_CA_2.l2  -0.0309045  0.0205537  -1.504 0.132854    
## Household_1_CA_3.l2  -0.0218553  0.0105879  -2.064 0.039138 *  
## Household_2_CA_3.l2   0.0111405  0.0188936   0.590 0.555500    
## Household_1_CA_1.l3  -0.0089600  0.0160236  -0.559 0.576106    
## Household_2_CA_1.l3   0.0367657  0.0273990   1.342 0.179803    
## Household_1_CA_2.l3  -0.0138737  0.0162382  -0.854 0.393000    
## Household_2_CA_2.l3   0.0079748  0.0206009   0.387 0.698717    
## Household_1_CA_3.l3   0.0028559  0.0106216   0.269 0.788055    
## Household_2_CA_3.l3   0.0128849  0.0189617   0.680 0.496892    
## Household_1_CA_1.l4  -0.0331811  0.0160130  -2.072 0.038390 *  
## Household_2_CA_1.l4   0.0481725  0.0273854   1.759 0.078731 .  
## Household_1_CA_2.l4  -0.0055554  0.0162473  -0.342 0.732446    
## Household_2_CA_2.l4   0.0036044  0.0206349   0.175 0.861352    
## Household_1_CA_3.l4   0.0039543  0.0106142   0.373 0.709527    
## Household_2_CA_3.l4  -0.0162535  0.0189815  -0.856 0.391950    
## Household_1_CA_1.l5   0.0216078  0.0160285   1.348 0.177792    
## Household_2_CA_1.l5  -0.0108699  0.0274484  -0.396 0.692142    
## Household_1_CA_2.l5  -0.0605277  0.0162324  -3.729 0.000198 ***
## Household_2_CA_2.l5  -0.0121187  0.0206811  -0.586 0.557962    
## Household_1_CA_3.l5   0.0158980  0.0106268   1.496 0.134816    
## Household_2_CA_3.l5  -0.0018167  0.0190238  -0.095 0.923930    
## Household_1_CA_1.l6  -0.0414318  0.0160950  -2.574 0.010124 *  
## Household_2_CA_1.l6   0.0800035  0.0274183   2.918 0.003566 ** 
## Household_1_CA_2.l6   0.0236370  0.0162622   1.453 0.146254    
## Household_2_CA_2.l6   0.0253953  0.0206606   1.229 0.219164    
## Household_1_CA_3.l6   0.0117370  0.0106397   1.103 0.270112    
## Household_2_CA_3.l6   0.0526952  0.0190548   2.765 0.005740 ** 
## Household_1_CA_1.l7   0.0032372  0.0161665   0.200 0.841316    
## Household_2_CA_1.l7   0.1182934  0.0275346   4.296 1.83e-05 ***
## Household_1_CA_2.l7   0.0747370  0.0162873   4.589 4.76e-06 ***
## Household_2_CA_2.l7   0.0248285  0.0205822   1.206 0.227852    
## Household_1_CA_3.l7  -0.0226482  0.0106207  -2.132 0.033099 *  
## Household_2_CA_3.l7   0.0092403  0.0192501   0.480 0.631274    
## Household_1_CA_1.l8  -0.0162723  0.0161148  -1.010 0.312736    
## Household_2_CA_1.l8   0.0598068  0.0275474   2.171 0.030053 *  
## Household_1_CA_2.l8   0.0010268  0.0166039   0.062 0.950696    
## Household_2_CA_2.l8   0.0129377  0.0205327   0.630 0.528704    
## Household_1_CA_3.l8  -0.0023596  0.0106293  -0.222 0.824349    
## Household_2_CA_3.l8  -0.0195467  0.0192887  -1.013 0.311010    
## Household_1_CA_1.l9   0.0086292  0.0161197   0.535 0.592492    
## Household_2_CA_1.l9   0.0181042  0.0273559   0.662 0.508181    
## Household_1_CA_2.l9  -0.0024941  0.0165941  -0.150 0.880546    
## Household_2_CA_2.l9  -0.0288425  0.0206234  -1.399 0.162119    
## Household_1_CA_3.l9  -0.0004074  0.0106071  -0.038 0.969364    
## Household_2_CA_3.l9   0.0095832  0.0191345   0.501 0.616546    
## Household_1_CA_1.l10  0.0117838  0.0160568   0.734 0.463113    
## Household_2_CA_1.l10  0.0474972  0.0273032   1.740 0.082090 .  
## Household_1_CA_2.l10 -0.0471242  0.0165554  -2.846 0.004469 ** 
## Household_2_CA_2.l10  0.0313855  0.0206188   1.522 0.128133    
## Household_1_CA_3.l10  0.0131687  0.0106327   1.239 0.215684    
## Household_2_CA_3.l10 -0.0339749  0.0190813  -1.781 0.075152 .  
## Household_1_CA_1.l11  0.0211155  0.0160200   1.318 0.187643    
## Household_2_CA_1.l11 -0.0054089  0.0272106  -0.199 0.842456    
## Household_1_CA_2.l11  0.0255964  0.0166126   1.541 0.123539    
## Household_2_CA_2.l11 -0.0281434  0.0206951  -1.360 0.174024    
## Household_1_CA_3.l11 -0.0021556  0.0106193  -0.203 0.839168    
## Household_2_CA_3.l11  0.0040922  0.0190260   0.215 0.829724    
## Household_1_CA_1.l12  0.0083314  0.0160335   0.520 0.603386    
## Household_2_CA_1.l12 -0.0029172  0.0272319  -0.107 0.914702    
## Household_1_CA_2.l12 -0.0122199  0.0165705  -0.737 0.460942    
## Household_2_CA_2.l12  0.0344451  0.0206415   1.669 0.095339 .  
## Household_1_CA_3.l12 -0.0070396  0.0106200  -0.663 0.507499    
## Household_2_CA_3.l12  0.0061432  0.0190545   0.322 0.747183    
## Household_1_CA_1.l13 -0.0073214  0.0159782  -0.458 0.646854    
## Household_2_CA_1.l13  0.0669206  0.0270977   2.470 0.013615 *  
## Household_1_CA_2.l13 -0.0153723  0.0165230  -0.930 0.352306    
## Household_2_CA_2.l13 -0.0036811  0.0205614  -0.179 0.857935    
## Household_1_CA_3.l13  0.0061658  0.0105957   0.582 0.560698    
## Household_2_CA_3.l13  0.0365075  0.0190341   1.918 0.055263 .  
## Household_1_CA_1.l14  0.0711962  0.0157480   4.521 6.54e-06 ***
## Household_2_CA_1.l14  0.0729008  0.0268758   2.713 0.006739 ** 
## Household_1_CA_2.l14  0.0281734  0.0162249   1.736 0.082653 .  
## Household_2_CA_2.l14  0.0244560  0.0203264   1.203 0.229064    
## Household_1_CA_3.l14 -0.0180564  0.0102530  -1.761 0.078388 .  
## Household_2_CA_3.l14  0.0217498  0.0187638   1.159 0.246548    
## const                 0.6714712  3.2182267   0.209 0.834747    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 17.05 on 1870 degrees of freedom
## Multiple R-Squared: 0.7317,  Adjusted R-squared: 0.7196 
## F-statistic:  60.7 on 84 and 1870 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Household_1_CA_2: 
## ================================================= 
## Household_1_CA_2 = Household_1_CA_1.l1 + Household_2_CA_1.l1 + Household_1_CA_2.l1 + Household_2_CA_2.l1 + Household_1_CA_3.l1 + Household_2_CA_3.l1 + Household_1_CA_1.l2 + Household_2_CA_1.l2 + Household_1_CA_2.l2 + Household_2_CA_2.l2 + Household_1_CA_3.l2 + Household_2_CA_3.l2 + Household_1_CA_1.l3 + Household_2_CA_1.l3 + Household_1_CA_2.l3 + Household_2_CA_2.l3 + Household_1_CA_3.l3 + Household_2_CA_3.l3 + Household_1_CA_1.l4 + Household_2_CA_1.l4 + Household_1_CA_2.l4 + Household_2_CA_2.l4 + Household_1_CA_3.l4 + Household_2_CA_3.l4 + Household_1_CA_1.l5 + Household_2_CA_1.l5 + Household_1_CA_2.l5 + Household_2_CA_2.l5 + Household_1_CA_3.l5 + Household_2_CA_3.l5 + Household_1_CA_1.l6 + Household_2_CA_1.l6 + Household_1_CA_2.l6 + Household_2_CA_2.l6 + Household_1_CA_3.l6 + Household_2_CA_3.l6 + Household_1_CA_1.l7 + Household_2_CA_1.l7 + Household_1_CA_2.l7 + Household_2_CA_2.l7 + Household_1_CA_3.l7 + Household_2_CA_3.l7 + Household_1_CA_1.l8 + Household_2_CA_1.l8 + Household_1_CA_2.l8 + Household_2_CA_2.l8 + Household_1_CA_3.l8 + Household_2_CA_3.l8 + Household_1_CA_1.l9 + Household_2_CA_1.l9 + Household_1_CA_2.l9 + Household_2_CA_2.l9 + Household_1_CA_3.l9 + Household_2_CA_3.l9 + Household_1_CA_1.l10 + Household_2_CA_1.l10 + Household_1_CA_2.l10 + Household_2_CA_2.l10 + Household_1_CA_3.l10 + Household_2_CA_3.l10 + Household_1_CA_1.l11 + Household_2_CA_1.l11 + Household_1_CA_2.l11 + Household_2_CA_2.l11 + Household_1_CA_3.l11 + Household_2_CA_3.l11 + Household_1_CA_1.l12 + Household_2_CA_1.l12 + Household_1_CA_2.l12 + Household_2_CA_2.l12 + Household_1_CA_3.l12 + Household_2_CA_3.l12 + Household_1_CA_1.l13 + Household_2_CA_1.l13 + Household_1_CA_2.l13 + Household_2_CA_2.l13 + Household_1_CA_3.l13 + Household_2_CA_3.l13 + Household_1_CA_1.l14 + Household_2_CA_1.l14 + Household_1_CA_2.l14 + Household_2_CA_2.l14 + Household_1_CA_3.l14 + Household_2_CA_3.l14 + const 
## 
##                        Estimate Std. Error t value Pr(>|t|)    
## Household_1_CA_1.l1  -0.0296461  0.0285736  -1.038 0.299620    
## Household_2_CA_1.l1   0.0406602  0.0486749   0.835 0.403632    
## Household_1_CA_2.l1   0.2228206  0.0285502   7.805 9.86e-15 ***
## Household_2_CA_2.l1   0.0037824  0.0367563   0.103 0.918050    
## Household_1_CA_3.l1   0.0326592  0.0185133   1.764 0.077880 .  
## Household_2_CA_3.l1  -0.1008556  0.0335003  -3.011 0.002642 ** 
## Household_1_CA_1.l2   0.0190681  0.0288480   0.661 0.508704    
## Household_2_CA_1.l2  -0.0257781  0.0492858  -0.523 0.601013    
## Household_1_CA_2.l2  -0.0053257  0.0290813  -0.183 0.854714    
## Household_2_CA_2.l2  -0.0605721  0.0370504  -1.635 0.102248    
## Household_1_CA_3.l2  -0.0130964  0.0190859  -0.686 0.492684    
## Household_2_CA_3.l2  -0.0517972  0.0340579  -1.521 0.128465    
## Household_1_CA_1.l3  -0.0524358  0.0288843  -1.815 0.069627 .  
## Household_2_CA_1.l3  -0.0344284  0.0493899  -0.697 0.485844    
## Household_1_CA_2.l3   0.0700544  0.0292712   2.393 0.016796 *  
## Household_2_CA_2.l3   0.0002962  0.0371354   0.008 0.993637    
## Household_1_CA_3.l3  -0.0002454  0.0191467  -0.013 0.989774    
## Household_2_CA_3.l3   0.0002000  0.0341807   0.006 0.995332    
## Household_1_CA_1.l4  -0.0209017  0.0288653  -0.724 0.469089    
## Household_2_CA_1.l4  -0.0974001  0.0493653  -1.973 0.048637 *  
## Household_1_CA_2.l4   0.0365086  0.0292877   1.247 0.212719    
## Household_2_CA_2.l4  -0.0281170  0.0371968  -0.756 0.449806    
## Household_1_CA_3.l4  -0.0042042  0.0191334  -0.220 0.826106    
## Household_2_CA_3.l4  -0.0076269  0.0342163  -0.223 0.823636    
## Household_1_CA_1.l5  -0.0416169  0.0288932  -1.440 0.149930    
## Household_2_CA_1.l5   0.0001966  0.0494790   0.004 0.996830    
## Household_1_CA_2.l5  -0.0160695  0.0292608  -0.549 0.582945    
## Household_2_CA_2.l5  -0.0869710  0.0372802  -2.333 0.019759 *  
## Household_1_CA_3.l5   0.0549149  0.0191561   2.867 0.004194 ** 
## Household_2_CA_3.l5   0.0023319  0.0342926   0.068 0.945792    
## Household_1_CA_1.l6   0.0321930  0.0290132   1.110 0.267314    
## Household_2_CA_1.l6  -0.0675438  0.0494247  -1.367 0.171915    
## Household_1_CA_2.l6   0.0358493  0.0293144   1.223 0.221512    
## Household_2_CA_2.l6   0.0125360  0.0372431   0.337 0.736458    
## Household_1_CA_3.l6   0.0170766  0.0191794   0.890 0.373387    
## Household_2_CA_3.l6   0.0748478  0.0343486   2.179 0.029451 *  
## Household_1_CA_1.l7   0.0288476  0.0291420   0.990 0.322353    
## Household_2_CA_1.l7  -0.0120140  0.0496344  -0.242 0.808768    
## Household_1_CA_2.l7   0.2578091  0.0293597   8.781  < 2e-16 ***
## Household_2_CA_2.l7   0.1201318  0.0371019   3.238 0.001225 ** 
## Household_1_CA_3.l7  -0.0650207  0.0191450  -3.396 0.000698 ***
## Household_2_CA_3.l7   0.0442220  0.0347006   1.274 0.202685    
## Household_1_CA_1.l8  -0.0218657  0.0290489  -0.753 0.451713    
## Household_2_CA_1.l8   0.0169113  0.0496575   0.341 0.733474    
## Household_1_CA_2.l8  -0.0272340  0.0299305  -0.910 0.362988    
## Household_2_CA_2.l8   0.0799127  0.0370126   2.159 0.030971 *  
## Household_1_CA_3.l8  -0.0012553  0.0191605  -0.066 0.947773    
## Household_2_CA_3.l8  -0.0105841  0.0347701  -0.304 0.760856    
## Household_1_CA_1.l9   0.0258363  0.0290577   0.889 0.374042    
## Household_2_CA_1.l9   0.0165673  0.0493123   0.336 0.736933    
## Household_1_CA_2.l9  -0.0052515  0.0299129  -0.176 0.860660    
## Household_2_CA_2.l9  -0.0729157  0.0371761  -1.961 0.049985 *  
## Household_1_CA_3.l9  -0.0253310  0.0191206  -1.325 0.185399    
## Household_2_CA_3.l9   0.0425424  0.0344921   1.233 0.217583    
## Household_1_CA_1.l10 -0.0016486  0.0289442  -0.057 0.954585    
## Household_2_CA_1.l10  0.0775335  0.0492171   1.575 0.115348    
## Household_1_CA_2.l10  0.0377928  0.0298430   1.266 0.205533    
## Household_2_CA_2.l10 -0.0542238  0.0371678  -1.459 0.144763    
## Household_1_CA_3.l10  0.0238147  0.0191667   1.243 0.214206    
## Household_2_CA_3.l10 -0.0176611  0.0343963  -0.513 0.607691    
## Household_1_CA_1.l11 -0.0193630  0.0288780  -0.671 0.502615    
## Household_2_CA_1.l11  0.0632938  0.0490504   1.290 0.197077    
## Household_1_CA_2.l11  0.0680603  0.0299461   2.273 0.023154 *  
## Household_2_CA_2.l11 -0.0151912  0.0373054  -0.407 0.683899    
## Household_1_CA_3.l11  0.0069409  0.0191425   0.363 0.716953    
## Household_2_CA_3.l11 -0.0586816  0.0342967  -1.711 0.087247 .  
## Household_1_CA_1.l12 -0.0313201  0.0289023  -1.084 0.278658    
## Household_2_CA_1.l12 -0.0038497  0.0490887  -0.078 0.937499    
## Household_1_CA_2.l12 -0.0094552  0.0298702  -0.317 0.751627    
## Household_2_CA_2.l12  0.0617426  0.0372088   1.659 0.097212 .  
## Household_1_CA_3.l12 -0.0360886  0.0191438  -1.885 0.059567 .  
## Household_2_CA_3.l12  0.0283519  0.0343479   0.825 0.409232    
## Household_1_CA_1.l13  0.0290999  0.0288026   1.010 0.312472    
## Household_2_CA_1.l13 -0.0241822  0.0488467  -0.495 0.620614    
## Household_1_CA_2.l13  0.0546480  0.0297846   1.835 0.066698 .  
## Household_2_CA_2.l13  0.0057003  0.0370643   0.154 0.877787    
## Household_1_CA_3.l13  0.0442294  0.0191001   2.316 0.020684 *  
## Household_2_CA_3.l13  0.0232196  0.0343112   0.677 0.498658    
## Household_1_CA_1.l14  0.1117091  0.0283877   3.935 8.62e-05 ***
## Household_2_CA_1.l14  0.0512625  0.0484468   1.058 0.290138    
## Household_1_CA_2.l14  0.1884995  0.0292473   6.445 1.47e-10 ***
## Household_2_CA_2.l14  0.1132716  0.0366406   3.091 0.002021 ** 
## Household_1_CA_3.l14 -0.0314702  0.0184823  -1.703 0.088787 .  
## Household_2_CA_3.l14  0.0032436  0.0338240   0.096 0.923613    
## const                 5.0835125  5.8012299   0.876 0.380989    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 30.74 on 1870 degrees of freedom
## Multiple R-Squared: 0.8186,  Adjusted R-squared: 0.8104 
## F-statistic: 100.4 on 84 and 1870 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Household_2_CA_2: 
## ================================================= 
## Household_2_CA_2 = Household_1_CA_1.l1 + Household_2_CA_1.l1 + Household_1_CA_2.l1 + Household_2_CA_2.l1 + Household_1_CA_3.l1 + Household_2_CA_3.l1 + Household_1_CA_1.l2 + Household_2_CA_1.l2 + Household_1_CA_2.l2 + Household_2_CA_2.l2 + Household_1_CA_3.l2 + Household_2_CA_3.l2 + Household_1_CA_1.l3 + Household_2_CA_1.l3 + Household_1_CA_2.l3 + Household_2_CA_2.l3 + Household_1_CA_3.l3 + Household_2_CA_3.l3 + Household_1_CA_1.l4 + Household_2_CA_1.l4 + Household_1_CA_2.l4 + Household_2_CA_2.l4 + Household_1_CA_3.l4 + Household_2_CA_3.l4 + Household_1_CA_1.l5 + Household_2_CA_1.l5 + Household_1_CA_2.l5 + Household_2_CA_2.l5 + Household_1_CA_3.l5 + Household_2_CA_3.l5 + Household_1_CA_1.l6 + Household_2_CA_1.l6 + Household_1_CA_2.l6 + Household_2_CA_2.l6 + Household_1_CA_3.l6 + Household_2_CA_3.l6 + Household_1_CA_1.l7 + Household_2_CA_1.l7 + Household_1_CA_2.l7 + Household_2_CA_2.l7 + Household_1_CA_3.l7 + Household_2_CA_3.l7 + Household_1_CA_1.l8 + Household_2_CA_1.l8 + Household_1_CA_2.l8 + Household_2_CA_2.l8 + Household_1_CA_3.l8 + Household_2_CA_3.l8 + Household_1_CA_1.l9 + Household_2_CA_1.l9 + Household_1_CA_2.l9 + Household_2_CA_2.l9 + Household_1_CA_3.l9 + Household_2_CA_3.l9 + Household_1_CA_1.l10 + Household_2_CA_1.l10 + Household_1_CA_2.l10 + Household_2_CA_2.l10 + Household_1_CA_3.l10 + Household_2_CA_3.l10 + Household_1_CA_1.l11 + Household_2_CA_1.l11 + Household_1_CA_2.l11 + Household_2_CA_2.l11 + Household_1_CA_3.l11 + Household_2_CA_3.l11 + Household_1_CA_1.l12 + Household_2_CA_1.l12 + Household_1_CA_2.l12 + Household_2_CA_2.l12 + Household_1_CA_3.l12 + Household_2_CA_3.l12 + Household_1_CA_1.l13 + Household_2_CA_1.l13 + Household_1_CA_2.l13 + Household_2_CA_2.l13 + Household_1_CA_3.l13 + Household_2_CA_3.l13 + Household_1_CA_1.l14 + Household_2_CA_1.l14 + Household_1_CA_2.l14 + Household_2_CA_2.l14 + Household_1_CA_3.l14 + Household_2_CA_3.l14 + const 
## 
##                        Estimate Std. Error t value Pr(>|t|)    
## Household_1_CA_1.l1  -0.0128061  0.0215926  -0.593 0.553201    
## Household_2_CA_1.l1   0.0779661  0.0367828   2.120 0.034168 *  
## Household_1_CA_2.l1   0.0010728  0.0215749   0.050 0.960348    
## Household_2_CA_2.l1   0.1281734  0.0277761   4.615 4.21e-06 ***
## Household_1_CA_3.l1   0.0045093  0.0139902   0.322 0.747246    
## Household_2_CA_3.l1  -0.0415067  0.0253156  -1.640 0.101264    
## Household_1_CA_1.l2   0.0517036  0.0218000   2.372 0.017806 *  
## Household_2_CA_1.l2   0.0017704  0.0372444   0.048 0.962092    
## Household_1_CA_2.l2  -0.0958681  0.0219762  -4.362 1.36e-05 ***
## Household_2_CA_2.l2   0.0539239  0.0279984   1.926 0.054260 .  
## Household_1_CA_3.l2  -0.0355617  0.0144229  -2.466 0.013766 *  
## Household_2_CA_3.l2   0.0019888  0.0257370   0.077 0.938414    
## Household_1_CA_1.l3  -0.0110352  0.0218274  -0.506 0.613222    
## Household_2_CA_1.l3  -0.0035803  0.0373231  -0.096 0.923589    
## Household_1_CA_2.l3   0.0023972  0.0221197   0.108 0.913710    
## Household_2_CA_2.l3   0.0799219  0.0280626   2.848 0.004448 ** 
## Household_1_CA_3.l3   0.0006694  0.0144688   0.046 0.963102    
## Household_2_CA_3.l3   0.0053519  0.0258298   0.207 0.835878    
## Household_1_CA_1.l4   0.0071600  0.0218130   0.328 0.742763    
## Household_2_CA_1.l4  -0.0360442  0.0373045  -0.966 0.334061    
## Household_1_CA_2.l4   0.0073113  0.0221322   0.330 0.741174    
## Household_2_CA_2.l4  -0.0057693  0.0281090  -0.205 0.837401    
## Household_1_CA_3.l4   0.0055826  0.0144588   0.386 0.699463    
## Household_2_CA_3.l4  -0.0024533  0.0258567  -0.095 0.924419    
## Household_1_CA_1.l5  -0.0367181  0.0218341  -1.682 0.092797 .  
## Household_2_CA_1.l5   0.0017385  0.0373905   0.046 0.962919    
## Household_1_CA_2.l5  -0.0643252  0.0221119  -2.909 0.003668 ** 
## Household_2_CA_2.l5   0.0078079  0.0281720   0.277 0.781694    
## Household_1_CA_3.l5   0.0171540  0.0144760   1.185 0.236169    
## Household_2_CA_3.l5   0.0188520  0.0259143   0.727 0.467026    
## Household_1_CA_1.l6  -0.0089813  0.0219248  -0.410 0.682116    
## Household_2_CA_1.l6   0.0142899  0.0373494   0.383 0.702061    
## Household_1_CA_2.l6   0.0051908  0.0221524   0.234 0.814761    
## Household_2_CA_2.l6   0.0437508  0.0281440   1.555 0.120226    
## Household_1_CA_3.l6   0.0059345  0.0144935   0.409 0.682249    
## Household_2_CA_3.l6   0.0816898  0.0259566   3.147 0.001675 ** 
## Household_1_CA_1.l7   0.0334920  0.0220221   1.521 0.128470    
## Household_2_CA_1.l7  -0.0368943  0.0375078  -0.984 0.325418    
## Household_1_CA_2.l7   0.1398412  0.0221866   6.303 3.63e-10 ***
## Household_2_CA_2.l7   0.1936552  0.0280372   6.907 6.76e-12 ***
## Household_1_CA_3.l7  -0.0366966  0.0144675  -2.536 0.011278 *  
## Household_2_CA_3.l7  -0.0281077  0.0262227  -1.072 0.283910    
## Household_1_CA_1.l8  -0.0136445  0.0219517  -0.622 0.534302    
## Household_2_CA_1.l8   0.0040360  0.0375253   0.108 0.914361    
## Household_1_CA_2.l8  -0.0210031  0.0226179  -0.929 0.353214    
## Household_2_CA_2.l8   0.1001436  0.0279698   3.580 0.000352 ***
## Household_1_CA_3.l8   0.0023583  0.0144792   0.163 0.870637    
## Household_2_CA_3.l8  -0.0111101  0.0262752  -0.423 0.672462    
## Household_1_CA_1.l9  -0.0165917  0.0219584  -0.756 0.449987    
## Household_2_CA_1.l9  -0.0073537  0.0372644  -0.197 0.843584    
## Household_1_CA_2.l9  -0.0602307  0.0226047  -2.665 0.007776 ** 
## Household_2_CA_2.l9   0.0245167  0.0280933   0.873 0.382945    
## Household_1_CA_3.l9   0.0226966  0.0144491   1.571 0.116400    
## Household_2_CA_3.l9  -0.0043659  0.0260651  -0.168 0.866994    
## Household_1_CA_1.l10  0.0077116  0.0218727   0.353 0.724451    
## Household_2_CA_1.l10  0.0163154  0.0371925   0.439 0.660948    
## Household_1_CA_2.l10 -0.0024844  0.0225519  -0.110 0.912292    
## Household_2_CA_2.l10 -0.0025780  0.0280871  -0.092 0.926877    
## Household_1_CA_3.l10  0.0142008  0.0144840   0.980 0.326992    
## Household_2_CA_3.l10 -0.0377917  0.0259927  -1.454 0.146132    
## Household_1_CA_1.l11 -0.0373935  0.0218226  -1.714 0.086782 .  
## Household_2_CA_1.l11 -0.0160507  0.0370665  -0.433 0.665047    
## Household_1_CA_2.l11  0.0185879  0.0226298   0.821 0.411528    
## Household_2_CA_2.l11 -0.0032568  0.0281911  -0.116 0.908040    
## Household_1_CA_3.l11  0.0149271  0.0144657   1.032 0.302254    
## Household_2_CA_3.l11  0.0234294  0.0259174   0.904 0.366112    
## Household_1_CA_1.l12 -0.0097149  0.0218410  -0.445 0.656517    
## Household_2_CA_1.l12 -0.0267474  0.0370955  -0.721 0.470974    
## Household_1_CA_2.l12 -0.0020067  0.0225724  -0.089 0.929170    
## Household_2_CA_2.l12  0.0746736  0.0281181   2.656 0.007981 ** 
## Household_1_CA_3.l12 -0.0265951  0.0144667  -1.838 0.066167 .  
## Household_2_CA_3.l12 -0.0148428  0.0259561  -0.572 0.567497    
## Household_1_CA_1.l13  0.0181170  0.0217656   0.832 0.405309    
## Household_2_CA_1.l13 -0.0315769  0.0369126  -0.855 0.392411    
## Household_1_CA_2.l13  0.0065229  0.0225077   0.290 0.771995    
## Household_2_CA_2.l13  0.0474905  0.0280088   1.696 0.090137 .  
## Household_1_CA_3.l13  0.0151186  0.0144336   1.047 0.295025    
## Household_2_CA_3.l13  0.0365228  0.0259284   1.409 0.159119    
## Household_1_CA_1.l14  0.0422958  0.0214521   1.972 0.048798 *  
## Household_2_CA_1.l14  0.0442263  0.0366104   1.208 0.227190    
## Household_1_CA_2.l14  0.1077232  0.0221017   4.874 1.19e-06 ***
## Household_2_CA_2.l14  0.1271608  0.0276887   4.593 4.67e-06 ***
## Household_1_CA_3.l14 -0.0105816  0.0139668  -0.758 0.448768    
## Household_2_CA_3.l14  0.0230378  0.0255602   0.901 0.367537    
## const                 1.4721595  4.3838906   0.336 0.737051    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 23.23 on 1870 degrees of freedom
## Multiple R-Squared: 0.7717,  Adjusted R-squared: 0.7614 
## F-statistic: 75.24 on 84 and 1870 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Household_1_CA_3: 
## ================================================= 
## Household_1_CA_3 = Household_1_CA_1.l1 + Household_2_CA_1.l1 + Household_1_CA_2.l1 + Household_2_CA_2.l1 + Household_1_CA_3.l1 + Household_2_CA_3.l1 + Household_1_CA_1.l2 + Household_2_CA_1.l2 + Household_1_CA_2.l2 + Household_2_CA_2.l2 + Household_1_CA_3.l2 + Household_2_CA_3.l2 + Household_1_CA_1.l3 + Household_2_CA_1.l3 + Household_1_CA_2.l3 + Household_2_CA_2.l3 + Household_1_CA_3.l3 + Household_2_CA_3.l3 + Household_1_CA_1.l4 + Household_2_CA_1.l4 + Household_1_CA_2.l4 + Household_2_CA_2.l4 + Household_1_CA_3.l4 + Household_2_CA_3.l4 + Household_1_CA_1.l5 + Household_2_CA_1.l5 + Household_1_CA_2.l5 + Household_2_CA_2.l5 + Household_1_CA_3.l5 + Household_2_CA_3.l5 + Household_1_CA_1.l6 + Household_2_CA_1.l6 + Household_1_CA_2.l6 + Household_2_CA_2.l6 + Household_1_CA_3.l6 + Household_2_CA_3.l6 + Household_1_CA_1.l7 + Household_2_CA_1.l7 + Household_1_CA_2.l7 + Household_2_CA_2.l7 + Household_1_CA_3.l7 + Household_2_CA_3.l7 + Household_1_CA_1.l8 + Household_2_CA_1.l8 + Household_1_CA_2.l8 + Household_2_CA_2.l8 + Household_1_CA_3.l8 + Household_2_CA_3.l8 + Household_1_CA_1.l9 + Household_2_CA_1.l9 + Household_1_CA_2.l9 + Household_2_CA_2.l9 + Household_1_CA_3.l9 + Household_2_CA_3.l9 + Household_1_CA_1.l10 + Household_2_CA_1.l10 + Household_1_CA_2.l10 + Household_2_CA_2.l10 + Household_1_CA_3.l10 + Household_2_CA_3.l10 + Household_1_CA_1.l11 + Household_2_CA_1.l11 + Household_1_CA_2.l11 + Household_2_CA_2.l11 + Household_1_CA_3.l11 + Household_2_CA_3.l11 + Household_1_CA_1.l12 + Household_2_CA_1.l12 + Household_1_CA_2.l12 + Household_2_CA_2.l12 + Household_1_CA_3.l12 + Household_2_CA_3.l12 + Household_1_CA_1.l13 + Household_2_CA_1.l13 + Household_1_CA_2.l13 + Household_2_CA_2.l13 + Household_1_CA_3.l13 + Household_2_CA_3.l13 + Household_1_CA_1.l14 + Household_2_CA_1.l14 + Household_1_CA_2.l14 + Household_2_CA_2.l14 + Household_1_CA_3.l14 + Household_2_CA_3.l14 + const 
## 
##                       Estimate Std. Error t value Pr(>|t|)    
## Household_1_CA_1.l1   0.077044   0.043431   1.774 0.076234 .  
## Household_2_CA_1.l1   0.179750   0.073984   2.430 0.015210 *  
## Household_1_CA_2.l1   0.026260   0.043395   0.605 0.545155    
## Household_2_CA_2.l1  -0.027160   0.055868  -0.486 0.626917    
## Household_1_CA_3.l1   0.295884   0.028140  10.515  < 2e-16 ***
## Household_2_CA_3.l1  -0.135945   0.050919  -2.670 0.007655 ** 
## Household_1_CA_1.l2   0.051417   0.043848   1.173 0.241096    
## Household_2_CA_1.l2  -0.096261   0.074912  -1.285 0.198959    
## Household_1_CA_2.l2  -0.037301   0.044202  -0.844 0.398851    
## Household_2_CA_2.l2  -0.060860   0.056315  -1.081 0.279966    
## Household_1_CA_3.l2   0.053054   0.029010   1.829 0.067582 .  
## Household_2_CA_3.l2  -0.011153   0.051767  -0.215 0.829442    
## Household_1_CA_1.l3  -0.015036   0.043903  -0.342 0.732025    
## Household_2_CA_1.l3   0.025699   0.075071   0.342 0.732139    
## Household_1_CA_2.l3  -0.025153   0.044491  -0.565 0.571905    
## Household_2_CA_2.l3   0.032748   0.056444   0.580 0.561864    
## Household_1_CA_3.l3   0.028421   0.029102   0.977 0.328895    
## Household_2_CA_3.l3  -0.024232   0.051953  -0.466 0.640972    
## Household_1_CA_1.l4  -0.036290   0.043874  -0.827 0.408260    
## Household_2_CA_1.l4  -0.149285   0.075033  -1.990 0.046782 *  
## Household_1_CA_2.l4   0.036477   0.044516   0.819 0.412656    
## Household_2_CA_2.l4  -0.127585   0.056538  -2.257 0.024145 *  
## Household_1_CA_3.l4   0.045665   0.029082   1.570 0.116534    
## Household_2_CA_3.l4   0.066838   0.052007   1.285 0.198892    
## Household_1_CA_1.l5  -0.017847   0.043916  -0.406 0.684514    
## Household_2_CA_1.l5  -0.049995   0.075206  -0.665 0.506281    
## Household_1_CA_2.l5  -0.068836   0.044475  -1.548 0.121855    
## Household_2_CA_2.l5  -0.042599   0.056664  -0.752 0.452275    
## Household_1_CA_3.l5   0.053726   0.029117   1.845 0.065164 .  
## Household_2_CA_3.l5   0.018463   0.052123   0.354 0.723216    
## Household_1_CA_1.l6   0.089920   0.044099   2.039 0.041585 *  
## Household_2_CA_1.l6  -0.057973   0.075124  -0.772 0.440388    
## Household_1_CA_2.l6  -0.050699   0.044557  -1.138 0.255326    
## Household_2_CA_2.l6   0.026521   0.056608   0.469 0.639480    
## Household_1_CA_3.l6   0.063951   0.029152   2.194 0.028378 *  
## Household_2_CA_3.l6   0.072058   0.052208   1.380 0.167690    
## Household_1_CA_1.l7   0.069103   0.044295   1.560 0.118910    
## Household_2_CA_1.l7  -0.109890   0.075442  -1.457 0.145390    
## Household_1_CA_2.l7   0.203721   0.044626   4.565 5.32e-06 ***
## Household_2_CA_2.l7   0.083782   0.056393   1.486 0.137533    
## Household_1_CA_3.l7   0.068263   0.029100   2.346 0.019089 *  
## Household_2_CA_3.l7   0.001193   0.052744   0.023 0.981955    
## Household_1_CA_1.l8   0.098768   0.044153   2.237 0.025407 *  
## Household_2_CA_1.l8   0.041371   0.075477   0.548 0.583675    
## Household_1_CA_2.l8  -0.031192   0.045493  -0.686 0.493022    
## Household_2_CA_2.l8   0.026663   0.056258   0.474 0.635599    
## Household_1_CA_3.l8  -0.034511   0.029123  -1.185 0.236169    
## Household_2_CA_3.l8  -0.050370   0.052849  -0.953 0.340669    
## Household_1_CA_1.l9  -0.040502   0.044166  -0.917 0.359248    
## Household_2_CA_1.l9   0.070309   0.074953   0.938 0.348339    
## Household_1_CA_2.l9  -0.057618   0.045466  -1.267 0.205216    
## Household_2_CA_2.l9  -0.095799   0.056506  -1.695 0.090171 .  
## Household_1_CA_3.l9   0.010774   0.029063   0.371 0.710891    
## Household_2_CA_3.l9   0.050735   0.052427   0.968 0.333304    
## Household_1_CA_1.l10 -0.032714   0.043994  -0.744 0.457215    
## Household_2_CA_1.l10  0.066409   0.074808   0.888 0.374799    
## Household_1_CA_2.l10 -0.012091   0.045360  -0.267 0.789846    
## Household_2_CA_2.l10  0.143110   0.056494   2.533 0.011383 *  
## Household_1_CA_3.l10  0.009581   0.029133   0.329 0.742276    
## Household_2_CA_3.l10 -0.060129   0.052281  -1.150 0.250242    
## Household_1_CA_1.l11 -0.036367   0.043893  -0.829 0.407472    
## Household_2_CA_1.l11 -0.032918   0.074555  -0.442 0.658877    
## Household_1_CA_2.l11  0.072618   0.045517   1.595 0.110789    
## Household_2_CA_2.l11 -0.027334   0.056703  -0.482 0.629820    
## Household_1_CA_3.l11  0.023834   0.029096   0.819 0.412812    
## Household_2_CA_3.l11  0.022342   0.052130   0.429 0.668280    
## Household_1_CA_1.l12  0.018307   0.043930   0.417 0.676932    
## Household_2_CA_1.l12 -0.024359   0.074613  -0.326 0.744104    
## Household_1_CA_2.l12 -0.074343   0.045402  -1.637 0.101704    
## Household_2_CA_2.l12  0.131538   0.056556   2.326 0.020135 *  
## Household_1_CA_3.l12 -0.009551   0.029098  -0.328 0.742779    
## Household_2_CA_3.l12  0.015726   0.052207   0.301 0.763275    
## Household_1_CA_1.l13  0.003893   0.043779   0.089 0.929147    
## Household_2_CA_1.l13  0.087843   0.074245   1.183 0.236900    
## Household_1_CA_2.l13 -0.078474   0.045271  -1.733 0.083188 .  
## Household_2_CA_2.l13 -0.044031   0.056336  -0.782 0.434566    
## Household_1_CA_3.l13  0.060591   0.029031   2.087 0.037014 *  
## Household_2_CA_3.l13  0.067795   0.052152   1.300 0.193776    
## Household_1_CA_1.l14  0.156585   0.043148   3.629 0.000292 ***
## Household_2_CA_1.l14  0.009153   0.073637   0.124 0.901087    
## Household_1_CA_2.l14  0.050362   0.044455   1.133 0.257410    
## Household_2_CA_2.l14 -0.001161   0.055692  -0.021 0.983366    
## Household_1_CA_3.l14  0.078409   0.028092   2.791 0.005306 ** 
## Household_2_CA_3.l14 -0.006015   0.051411  -0.117 0.906875    
## const                19.752321   8.817629   2.240 0.025202 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 46.73 on 1870 degrees of freedom
## Multiple R-Squared: 0.7958,  Adjusted R-squared: 0.7866 
## F-statistic: 86.75 on 84 and 1870 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Household_2_CA_3: 
## ================================================= 
## Household_2_CA_3 = Household_1_CA_1.l1 + Household_2_CA_1.l1 + Household_1_CA_2.l1 + Household_2_CA_2.l1 + Household_1_CA_3.l1 + Household_2_CA_3.l1 + Household_1_CA_1.l2 + Household_2_CA_1.l2 + Household_1_CA_2.l2 + Household_2_CA_2.l2 + Household_1_CA_3.l2 + Household_2_CA_3.l2 + Household_1_CA_1.l3 + Household_2_CA_1.l3 + Household_1_CA_2.l3 + Household_2_CA_2.l3 + Household_1_CA_3.l3 + Household_2_CA_3.l3 + Household_1_CA_1.l4 + Household_2_CA_1.l4 + Household_1_CA_2.l4 + Household_2_CA_2.l4 + Household_1_CA_3.l4 + Household_2_CA_3.l4 + Household_1_CA_1.l5 + Household_2_CA_1.l5 + Household_1_CA_2.l5 + Household_2_CA_2.l5 + Household_1_CA_3.l5 + Household_2_CA_3.l5 + Household_1_CA_1.l6 + Household_2_CA_1.l6 + Household_1_CA_2.l6 + Household_2_CA_2.l6 + Household_1_CA_3.l6 + Household_2_CA_3.l6 + Household_1_CA_1.l7 + Household_2_CA_1.l7 + Household_1_CA_2.l7 + Household_2_CA_2.l7 + Household_1_CA_3.l7 + Household_2_CA_3.l7 + Household_1_CA_1.l8 + Household_2_CA_1.l8 + Household_1_CA_2.l8 + Household_2_CA_2.l8 + Household_1_CA_3.l8 + Household_2_CA_3.l8 + Household_1_CA_1.l9 + Household_2_CA_1.l9 + Household_1_CA_2.l9 + Household_2_CA_2.l9 + Household_1_CA_3.l9 + Household_2_CA_3.l9 + Household_1_CA_1.l10 + Household_2_CA_1.l10 + Household_1_CA_2.l10 + Household_2_CA_2.l10 + Household_1_CA_3.l10 + Household_2_CA_3.l10 + Household_1_CA_1.l11 + Household_2_CA_1.l11 + Household_1_CA_2.l11 + Household_2_CA_2.l11 + Household_1_CA_3.l11 + Household_2_CA_3.l11 + Household_1_CA_1.l12 + Household_2_CA_1.l12 + Household_1_CA_2.l12 + Household_2_CA_2.l12 + Household_1_CA_3.l12 + Household_2_CA_3.l12 + Household_1_CA_1.l13 + Household_2_CA_1.l13 + Household_1_CA_2.l13 + Household_2_CA_2.l13 + Household_1_CA_3.l13 + Household_2_CA_3.l13 + Household_1_CA_1.l14 + Household_2_CA_1.l14 + Household_1_CA_2.l14 + Household_2_CA_2.l14 + Household_1_CA_3.l14 + Household_2_CA_3.l14 + const 
## 
##                        Estimate Std. Error t value Pr(>|t|)    
## Household_1_CA_1.l1  -0.0275869  0.0225705  -1.222 0.221766    
## Household_2_CA_1.l1   0.1186660  0.0384487   3.086 0.002056 ** 
## Household_1_CA_2.l1  -0.0099162  0.0225520  -0.440 0.660203    
## Household_2_CA_2.l1   0.0090745  0.0290341   0.313 0.754659    
## Household_1_CA_3.l1   0.0454534  0.0146238   3.108 0.001911 ** 
## Household_2_CA_3.l1   0.1294085  0.0264622   4.890 1.09e-06 ***
## Household_1_CA_1.l2   0.0060784  0.0227873   0.267 0.789693    
## Household_2_CA_1.l2   0.0053012  0.0389312   0.136 0.891703    
## Household_1_CA_2.l2  -0.0391806  0.0229715  -1.706 0.088245 .  
## Household_2_CA_2.l2  -0.0197134  0.0292664  -0.674 0.500659    
## Household_1_CA_3.l2  -0.0150338  0.0150761  -0.997 0.318797    
## Household_2_CA_3.l2   0.0824089  0.0269026   3.063 0.002221 ** 
## Household_1_CA_1.l3  -0.0220695  0.0228160  -0.967 0.333528    
## Household_2_CA_1.l3   0.0375935  0.0390135   0.964 0.335369    
## Household_1_CA_2.l3  -0.0283612  0.0231215  -1.227 0.220122    
## Household_2_CA_2.l3   0.0308674  0.0293336   1.052 0.292803    
## Household_1_CA_3.l3   0.0059275  0.0151241   0.392 0.695159    
## Household_2_CA_3.l3   0.0554947  0.0269996   2.055 0.039980 *  
## Household_1_CA_1.l4   0.0062922  0.0228009   0.276 0.782608    
## Household_2_CA_1.l4  -0.0941525  0.0389940  -2.415 0.015851 *  
## Household_1_CA_2.l4   0.0092347  0.0231346   0.399 0.689811    
## Household_2_CA_2.l4  -0.0160606  0.0293821  -0.547 0.584710    
## Household_1_CA_3.l4  -0.0316090  0.0151136  -2.091 0.036625 *  
## Household_2_CA_3.l4   0.0658150  0.0270277   2.435 0.014981 *  
## Household_1_CA_1.l5  -0.0048159  0.0228230  -0.211 0.832902    
## Household_2_CA_1.l5  -0.0116222  0.0390839  -0.297 0.766221    
## Household_1_CA_2.l5  -0.0307406  0.0231134  -1.330 0.183683    
## Household_2_CA_2.l5   0.0251412  0.0294479   0.854 0.393352    
## Household_1_CA_3.l5   0.0060697  0.0151316   0.401 0.688372    
## Household_2_CA_3.l5   0.0521058  0.0270880   1.924 0.054559 .  
## Household_1_CA_1.l6  -0.0252919  0.0229177  -1.104 0.269910    
## Household_2_CA_1.l6  -0.0673054  0.0390410  -1.724 0.084879 .  
## Household_1_CA_2.l6  -0.0018686  0.0231557  -0.081 0.935691    
## Household_2_CA_2.l6  -0.0214093  0.0294186  -0.728 0.466859    
## Household_1_CA_3.l6   0.0113438  0.0151500   0.749 0.454093    
## Household_2_CA_3.l6   0.1652651  0.0271322   6.091 1.36e-09 ***
## Household_1_CA_1.l7   0.0196712  0.0230195   0.855 0.392913    
## Household_2_CA_1.l7   0.0041094  0.0392066   0.105 0.916534    
## Household_1_CA_2.l7   0.1036731  0.0231914   4.470 8.28e-06 ***
## Household_2_CA_2.l7   0.0264382  0.0293071   0.902 0.367115    
## Household_1_CA_3.l7  -0.0154383  0.0151228  -1.021 0.307452    
## Household_2_CA_3.l7   0.0363516  0.0274103   1.326 0.184934    
## Household_1_CA_1.l8  -0.0002783  0.0229459  -0.012 0.990324    
## Household_2_CA_1.l8   0.0542722  0.0392248   1.384 0.166640    
## Household_1_CA_2.l8   0.0264510  0.0236423   1.119 0.263369    
## Household_2_CA_2.l8  -0.0153088  0.0292365  -0.524 0.600604    
## Household_1_CA_3.l8  -0.0233162  0.0151350  -1.541 0.123597    
## Household_2_CA_3.l8   0.0247719  0.0274652   0.902 0.367206    
## Household_1_CA_1.l9   0.0030318  0.0229529   0.132 0.894929    
## Household_2_CA_1.l9  -0.0156015  0.0389521  -0.401 0.688812    
## Household_1_CA_2.l9  -0.0397741  0.0236284  -1.683 0.092481 .  
## Household_2_CA_2.l9  -0.0255509  0.0293657  -0.870 0.384361    
## Household_1_CA_3.l9   0.0125206  0.0151035   0.829 0.407217    
## Household_2_CA_3.l9   0.0264637  0.0272456   0.971 0.331524    
## Household_1_CA_1.l10  0.0109148  0.0228633   0.477 0.633138    
## Household_2_CA_1.l10  0.0417618  0.0388770   1.074 0.282870    
## Household_1_CA_2.l10 -0.0380628  0.0235732  -1.615 0.106552    
## Household_2_CA_2.l10  0.0203492  0.0293591   0.693 0.488324    
## Household_1_CA_3.l10  0.0035567  0.0151399   0.235 0.814296    
## Household_2_CA_3.l10  0.0076636  0.0271699   0.282 0.777928    
## Household_1_CA_1.l11  0.0104485  0.0228109   0.458 0.646972    
## Household_2_CA_1.l11 -0.0476641  0.0387453  -1.230 0.218780    
## Household_1_CA_2.l11  0.0267951  0.0236547   1.133 0.257460    
## Household_2_CA_2.l11 -0.0210643  0.0294678  -0.715 0.474808    
## Household_1_CA_3.l11 -0.0020288  0.0151208  -0.134 0.893282    
## Household_2_CA_3.l11  0.0020459  0.0270912   0.076 0.939810    
## Household_1_CA_1.l12 -0.0018756  0.0228302  -0.082 0.934533    
## Household_2_CA_1.l12  0.0049660  0.0387756   0.128 0.898107    
## Household_1_CA_2.l12 -0.0014573  0.0235947  -0.062 0.950757    
## Household_2_CA_2.l12 -0.0113275  0.0293915  -0.385 0.699984    
## Household_1_CA_3.l12 -0.0064957  0.0151218  -0.430 0.667565    
## Household_2_CA_3.l12  0.0444964  0.0271317   1.640 0.101170    
## Household_1_CA_1.l13  0.0023918  0.0227514   0.105 0.916286    
## Household_2_CA_1.l13  0.0027702  0.0385844   0.072 0.942771    
## Household_1_CA_2.l13 -0.0012030  0.0235271  -0.051 0.959226    
## Household_2_CA_2.l13 -0.0545921  0.0292774  -1.865 0.062387 .  
## Household_1_CA_3.l13  0.0293157  0.0150873   1.943 0.052157 .  
## Household_2_CA_3.l13  0.0376097  0.0271027   1.388 0.165402    
## Household_1_CA_1.l14  0.0381260  0.0224236   1.700 0.089248 .  
## Household_2_CA_1.l14  0.0755289  0.0382685   1.974 0.048568 *  
## Household_1_CA_2.l14  0.0162350  0.0231027   0.703 0.482310    
## Household_2_CA_2.l14  0.0452970  0.0289427   1.565 0.117739    
## Household_1_CA_3.l14 -0.0093714  0.0145993  -0.642 0.521012    
## Household_2_CA_3.l14  0.1041355  0.0267178   3.898 0.000101 ***
## const                16.2485917  4.5824360   3.546 0.000401 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 24.28 on 1870 degrees of freedom
## Multiple R-Squared: 0.6468,  Adjusted R-squared: 0.631 
## F-statistic: 40.77 on 84 and 1870 DF,  p-value: < 2.2e-16 
## 
## 
## 
## Covariance matrix of residuals:
##                  Household_1_CA_1 Household_2_CA_1 Household_1_CA_2
## Household_1_CA_1            930.4            220.3            406.5
## Household_2_CA_1            220.3            290.9            189.3
## Household_1_CA_2            406.5            189.3            945.2
## Household_2_CA_2            254.8            143.2            357.7
## Household_1_CA_3            670.0            284.8            604.3
## Household_2_CA_3            260.2            144.7            250.6
##                  Household_2_CA_2 Household_1_CA_3 Household_2_CA_3
## Household_1_CA_1            254.8            670.0            260.2
## Household_2_CA_1            143.2            284.8            144.7
## Household_1_CA_2            357.7            604.3            250.6
## Household_2_CA_2            539.7            400.3            192.6
## Household_1_CA_3            400.3           2183.6            453.5
## Household_2_CA_3            192.6            453.5            589.7
## 
## Correlation matrix of residuals:
##                  Household_1_CA_1 Household_2_CA_1 Household_1_CA_2
## Household_1_CA_1           1.0000           0.4235           0.4334
## Household_2_CA_1           0.4235           1.0000           0.3610
## Household_1_CA_2           0.4334           0.3610           1.0000
## Household_2_CA_2           0.3595           0.3613           0.5008
## Household_1_CA_3           0.4700           0.3574           0.4206
## Household_2_CA_3           0.3513           0.3495           0.3357
##                  Household_2_CA_2 Household_1_CA_3 Household_2_CA_3
## Household_1_CA_1           0.3595           0.4700           0.3513
## Household_2_CA_1           0.3613           0.3574           0.3495
## Household_1_CA_2           0.5008           0.4206           0.3357
## Household_2_CA_2           1.0000           0.3687           0.3414
## Household_1_CA_3           0.3687           1.0000           0.3996
## Household_2_CA_3           0.3414           0.3996           1.0000
Serial_household <- serial.test(Model_household, lags.pt = 5, type = "PT.asymptotic")
## Warning in pchisq(STATISTIC, df = PARAMETER): NaNs produced

## Warning in pchisq(STATISTIC, df = PARAMETER): NaNs produced
Serial_household
## 
##  Portmanteau Test (asymptotic)
## 
## data:  Residuals of VAR object Model_household
## Chi-squared = 10.678, df = -324, p-value = NA
Arch_household <- arch.test(Model_household, lags.multi = 15, multivariate.only = TRUE)
Arch_household
## 
##  ARCH (multivariate)
## 
## data:  Residuals of VAR object Model_household
## Chi-squared = 8622.2, df = 6615, p-value < 2.2e-16
Norm_household <- normality.test(Model_household, multivariate.only = TRUE)
Norm_household
## $JB
## 
##  JB-Test (multivariate)
## 
## data:  Residuals of VAR object Model_household
## Chi-squared = 2125.8, df = 12, p-value < 2.2e-16
## 
## 
## $Skewness
## 
##  Skewness only (multivariate)
## 
## data:  Residuals of VAR object Model_household
## Chi-squared = 35.087, df = 6, p-value = 4.145e-06
## 
## 
## $Kurtosis
## 
##  Kurtosis only (multivariate)
## 
## data:  Residuals of VAR object Model_household
## Chi-squared = 2090.7, df = 6, p-value < 2.2e-16
Stability_household <- stability(Model_household, type = "OLS-CUSUM")
plot(Stability_household)

forecast <- predict(Model_household, n.ahead = 28, ci = 0.95)
result_household = forecast$fcst$Household_1_CA_1+forecast$fcst$Household_2_CA_1+forecast$fcst$Household_1_CA_2+forecast$fcst$Household_2_CA_2+forecast$fcst$Household_1_CA_3+forecast$fcst$Household_2_CA_3
print(result_household)
##           fcst     lower    upper       CI
##  [1,] 1442.589 1104.4044 1780.773 338.1843
##  [2,] 1331.237  982.0939 1680.379 349.1426
##  [3,] 1323.146  971.4247 1674.866 351.7209
##  [4,] 1289.426  936.5203 1642.332 352.9059
##  [5,] 1447.379 1092.9870 1801.771 354.3921
##  [6,] 1869.431 1512.9157 2225.946 356.5150
##  [7,] 1959.595 1599.6881 2319.502 359.9067
##  [8,] 1515.070 1141.4471 1888.694 373.6233
##  [9,] 1308.829  930.9025 1686.755 377.9264
## [10,] 1308.825  929.5696 1688.080 379.2551
## [11,] 1268.933  888.7123 1649.153 380.2204
## [12,] 1418.963 1037.9379 1799.989 381.0253
## [13,] 1823.538 1441.4103 2205.666 382.1279
## [14,] 1847.375 1461.6689 2233.081 385.7063
## [15,] 1503.556 1094.9125 1912.200 408.6438
## [16,] 1313.154  898.9522 1727.356 414.2021
## [17,] 1303.638  887.9722 1719.303 415.6655
## [18,] 1274.842  858.3664 1691.319 416.4761
## [19,] 1440.356 1023.0989 1857.614 417.2575
## [20,] 1828.050 1409.4218 2246.678 418.6279
## [21,] 1883.881 1462.6294 2305.133 421.2517
## [22,] 1524.977 1092.1618 1957.793 432.8155
## [23,] 1315.930  878.8566 1753.003 437.0731
## [24,] 1289.157  851.1638 1727.151 437.9936
## [25,] 1259.085  820.4515 1697.719 438.6339
## [26,] 1428.602  989.4134 1867.791 439.1886
## [27,] 1802.705 1362.5106 2242.899 440.1941
## [28,] 1846.333 1403.4611 2289.205 442.8718

Analysis for the third type of products FOOD

We use similar codes as in 2.1 to build models for different types of products.

v_food <- cbind(Foods_1_CA_1, Foods_2_CA_1, Foods_3_CA_1, Foods_1_CA_2, Foods_2_CA_2, Foods_3_CA_2, Foods_1_CA_3, Foods_2_CA_3, Foods_3_CA_3)
colnames(v_food) <- cbind("Foods_1_CA_1","Foods_2_CA_1","Foods_3_CA_1", "Foods_1_CA_2", "Foods_2_CA_2", "Foods_3_CA_2","Foods_1_CA_3","Foods_2_CA_3", "Foods_3_CA_3")
lagselect <- VARselect(v_food, lag.max = 60, type = "const")
lagselect$selection
## AIC(n)  HQ(n)  SC(n) FPE(n) 
##     14      7      7     14
Model_food <- VAR(v_food, p = 14, type = "const", season = NULL, exog = NULL) 
summary(Model_food)
## 
## VAR Estimation Results:
## ========================= 
## Endogenous variables: Foods_1_CA_1, Foods_2_CA_1, Foods_3_CA_1, Foods_1_CA_2, Foods_2_CA_2, Foods_3_CA_2, Foods_1_CA_3, Foods_2_CA_3, Foods_3_CA_3 
## Deterministic variables: const 
## Sample size: 1955 
## Log Likelihood: -92564.421 
## Roots of the characteristic polynomial:
##     1 0.9957 0.9957 0.9935 0.9852 0.9793 0.9793 0.9791 0.9791 0.9668 0.9621 0.9537 0.9537 0.9249 0.9249 0.924 0.924 0.9164 0.9164 0.9103 0.9103 0.9052 0.9052 0.9048 0.8979 0.8979 0.8959 0.8959 0.8801 0.8801 0.8796 0.8796 0.8795 0.8795 0.877 0.877 0.8739 0.8739 0.8725 0.8725 0.8705 0.8705 0.8698 0.8698 0.866 0.866 0.8646 0.8646 0.8628 0.8628 0.8627 0.8627 0.8616 0.8616 0.8596 0.8596 0.8509 0.8509 0.8509 0.8509 0.8507 0.8507 0.8505 0.8505 0.8499 0.8499 0.8483 0.8483 0.8475 0.8475 0.8473 0.8473 0.8433 0.8433 0.8395 0.8395 0.8382 0.8382 0.8345 0.8345 0.8328 0.8328 0.8308 0.8308 0.8287 0.8287 0.8218 0.8218 0.8214 0.8214 0.8199 0.8199 0.8188 0.8188 0.8127 0.8127 0.8122 0.8122 0.8102 0.8102 0.8101 0.8101 0.8086 0.8086 0.7879 0.787 0.787 0.7855 0.7855 0.7844 0.7844 0.7831 0.7831 0.7659 0.7659 0.7452 0.7452 0.6996 0.6996 0.6325 0.6325 0.5376 0.5376 0.516 0.1692 0.1692
## Call:
## VAR(y = v_food, p = 14, type = "const", exogen = NULL)
## 
## 
## Estimation results for equation Foods_1_CA_1: 
## ============================================= 
## Foods_1_CA_1 = Foods_1_CA_1.l1 + Foods_2_CA_1.l1 + Foods_3_CA_1.l1 + Foods_1_CA_2.l1 + Foods_2_CA_2.l1 + Foods_3_CA_2.l1 + Foods_1_CA_3.l1 + Foods_2_CA_3.l1 + Foods_3_CA_3.l1 + Foods_1_CA_1.l2 + Foods_2_CA_1.l2 + Foods_3_CA_1.l2 + Foods_1_CA_2.l2 + Foods_2_CA_2.l2 + Foods_3_CA_2.l2 + Foods_1_CA_3.l2 + Foods_2_CA_3.l2 + Foods_3_CA_3.l2 + Foods_1_CA_1.l3 + Foods_2_CA_1.l3 + Foods_3_CA_1.l3 + Foods_1_CA_2.l3 + Foods_2_CA_2.l3 + Foods_3_CA_2.l3 + Foods_1_CA_3.l3 + Foods_2_CA_3.l3 + Foods_3_CA_3.l3 + Foods_1_CA_1.l4 + Foods_2_CA_1.l4 + Foods_3_CA_1.l4 + Foods_1_CA_2.l4 + Foods_2_CA_2.l4 + Foods_3_CA_2.l4 + Foods_1_CA_3.l4 + Foods_2_CA_3.l4 + Foods_3_CA_3.l4 + Foods_1_CA_1.l5 + Foods_2_CA_1.l5 + Foods_3_CA_1.l5 + Foods_1_CA_2.l5 + Foods_2_CA_2.l5 + Foods_3_CA_2.l5 + Foods_1_CA_3.l5 + Foods_2_CA_3.l5 + Foods_3_CA_3.l5 + Foods_1_CA_1.l6 + Foods_2_CA_1.l6 + Foods_3_CA_1.l6 + Foods_1_CA_2.l6 + Foods_2_CA_2.l6 + Foods_3_CA_2.l6 + Foods_1_CA_3.l6 + Foods_2_CA_3.l6 + Foods_3_CA_3.l6 + Foods_1_CA_1.l7 + Foods_2_CA_1.l7 + Foods_3_CA_1.l7 + Foods_1_CA_2.l7 + Foods_2_CA_2.l7 + Foods_3_CA_2.l7 + Foods_1_CA_3.l7 + Foods_2_CA_3.l7 + Foods_3_CA_3.l7 + Foods_1_CA_1.l8 + Foods_2_CA_1.l8 + Foods_3_CA_1.l8 + Foods_1_CA_2.l8 + Foods_2_CA_2.l8 + Foods_3_CA_2.l8 + Foods_1_CA_3.l8 + Foods_2_CA_3.l8 + Foods_3_CA_3.l8 + Foods_1_CA_1.l9 + Foods_2_CA_1.l9 + Foods_3_CA_1.l9 + Foods_1_CA_2.l9 + Foods_2_CA_2.l9 + Foods_3_CA_2.l9 + Foods_1_CA_3.l9 + Foods_2_CA_3.l9 + Foods_3_CA_3.l9 + Foods_1_CA_1.l10 + Foods_2_CA_1.l10 + Foods_3_CA_1.l10 + Foods_1_CA_2.l10 + Foods_2_CA_2.l10 + Foods_3_CA_2.l10 + Foods_1_CA_3.l10 + Foods_2_CA_3.l10 + Foods_3_CA_3.l10 + Foods_1_CA_1.l11 + Foods_2_CA_1.l11 + Foods_3_CA_1.l11 + Foods_1_CA_2.l11 + Foods_2_CA_2.l11 + Foods_3_CA_2.l11 + Foods_1_CA_3.l11 + Foods_2_CA_3.l11 + Foods_3_CA_3.l11 + Foods_1_CA_1.l12 + Foods_2_CA_1.l12 + Foods_3_CA_1.l12 + Foods_1_CA_2.l12 + Foods_2_CA_2.l12 + Foods_3_CA_2.l12 + Foods_1_CA_3.l12 + Foods_2_CA_3.l12 + Foods_3_CA_3.l12 + Foods_1_CA_1.l13 + Foods_2_CA_1.l13 + Foods_3_CA_1.l13 + Foods_1_CA_2.l13 + Foods_2_CA_2.l13 + Foods_3_CA_2.l13 + Foods_1_CA_3.l13 + Foods_2_CA_3.l13 + Foods_3_CA_3.l13 + Foods_1_CA_1.l14 + Foods_2_CA_1.l14 + Foods_3_CA_1.l14 + Foods_1_CA_2.l14 + Foods_2_CA_2.l14 + Foods_3_CA_2.l14 + Foods_1_CA_3.l14 + Foods_2_CA_3.l14 + Foods_3_CA_3.l14 + const 
## 
##                    Estimate Std. Error t value Pr(>|t|)    
## Foods_1_CA_1.l1   2.987e-01  2.815e-02  10.613  < 2e-16 ***
## Foods_2_CA_1.l1  -1.007e-02  1.702e-02  -0.592  0.55403    
## Foods_3_CA_1.l1  -4.060e-03  5.688e-03  -0.714  0.47542    
## Foods_1_CA_2.l1   5.174e-02  3.713e-02   1.393  0.16365    
## Foods_2_CA_2.l1   3.986e-02  2.726e-02   1.462  0.14392    
## Foods_3_CA_2.l1  -1.377e-02  7.215e-03  -1.909  0.05648 .  
## Foods_1_CA_3.l1   1.480e-01  2.304e-02   6.424 1.69e-10 ***
## Foods_2_CA_3.l1  -2.549e-02  1.130e-02  -2.256  0.02417 *  
## Foods_3_CA_3.l1   6.473e-03  4.293e-03   1.508  0.13178    
## Foods_1_CA_1.l2   2.072e-02  2.930e-02   0.707  0.47954    
## Foods_2_CA_1.l2  -1.449e-02  1.770e-02  -0.818  0.41319    
## Foods_3_CA_1.l2  -3.366e-03  5.923e-03  -0.568  0.56995    
## Foods_1_CA_2.l2   1.672e-02  3.835e-02   0.436  0.66293    
## Foods_2_CA_2.l2  -2.069e-02  2.799e-02  -0.739  0.45978    
## Foods_3_CA_2.l2  -9.007e-03  7.431e-03  -1.212  0.22565    
## Foods_1_CA_3.l2   6.309e-02  2.384e-02   2.646  0.00821 ** 
## Foods_2_CA_3.l2   2.353e-02  1.203e-02   1.955  0.05069 .  
## Foods_3_CA_3.l2  -2.823e-03  4.499e-03  -0.627  0.53048    
## Foods_1_CA_1.l3   6.216e-02  2.933e-02   2.120  0.03418 *  
## Foods_2_CA_1.l3   9.891e-03  1.776e-02   0.557  0.57760    
## Foods_3_CA_1.l3  -5.173e-03  5.931e-03  -0.872  0.38319    
## Foods_1_CA_2.l3   7.304e-03  3.832e-02   0.191  0.84885    
## Foods_2_CA_2.l3  -5.825e-03  2.813e-02  -0.207  0.83595    
## Foods_3_CA_2.l3  -6.541e-03  7.489e-03  -0.873  0.38255    
## Foods_1_CA_3.l3  -4.664e-03  2.380e-02  -0.196  0.84468    
## Foods_2_CA_3.l3  -4.216e-03  1.213e-02  -0.348  0.72825    
## Foods_3_CA_3.l3   6.591e-03  4.513e-03   1.461  0.14429    
## Foods_1_CA_1.l4   2.255e-02  2.933e-02   0.769  0.44220    
## Foods_2_CA_1.l4  -3.139e-02  1.777e-02  -1.766  0.07757 .  
## Foods_3_CA_1.l4   4.374e-03  5.923e-03   0.738  0.46035    
## Foods_1_CA_2.l4   5.520e-02  3.829e-02   1.441  0.14964    
## Foods_2_CA_2.l4  -3.223e-02  2.803e-02  -1.150  0.25043    
## Foods_3_CA_2.l4   9.174e-04  7.508e-03   0.122  0.90276    
## Foods_1_CA_3.l4  -4.930e-02  2.374e-02  -2.077  0.03794 *  
## Foods_2_CA_3.l4   1.758e-02  1.212e-02   1.450  0.14716    
## Foods_3_CA_3.l4  -8.206e-04  4.512e-03  -0.182  0.85569    
## Foods_1_CA_1.l5   4.469e-02  2.942e-02   1.519  0.12889    
## Foods_2_CA_1.l5   3.039e-02  1.782e-02   1.705  0.08829 .  
## Foods_3_CA_1.l5  -1.286e-02  5.930e-03  -2.169  0.03019 *  
## Foods_1_CA_2.l5   6.223e-02  3.860e-02   1.612  0.10707    
## Foods_2_CA_2.l5  -2.288e-02  2.806e-02  -0.815  0.41492    
## Foods_3_CA_2.l5  -1.198e-02  7.529e-03  -1.591  0.11182    
## Foods_1_CA_3.l5   7.846e-03  2.374e-02   0.331  0.74104    
## Foods_2_CA_3.l5  -1.146e-02  1.215e-02  -0.944  0.34547    
## Foods_3_CA_3.l5   9.159e-03  4.524e-03   2.025  0.04305 *  
## Foods_1_CA_1.l6   6.111e-02  2.935e-02   2.082  0.03746 *  
## Foods_2_CA_1.l6  -2.354e-02  1.784e-02  -1.319  0.18722    
## Foods_3_CA_1.l6   8.929e-03  5.952e-03   1.500  0.13374    
## Foods_1_CA_2.l6  -2.074e-02  3.853e-02  -0.538  0.59038    
## Foods_2_CA_2.l6   1.716e-02  2.794e-02   0.614  0.53911    
## Foods_3_CA_2.l6  -3.599e-03  7.533e-03  -0.478  0.63288    
## Foods_1_CA_3.l6   1.177e-02  2.380e-02   0.495  0.62080    
## Foods_2_CA_3.l6   1.167e-02  1.218e-02   0.958  0.33808    
## Foods_3_CA_3.l6  -6.484e-03  4.534e-03  -1.430  0.15285    
## Foods_1_CA_1.l7  -1.518e-02  2.925e-02  -0.519  0.60376    
## Foods_2_CA_1.l7  -1.194e-02  1.788e-02  -0.668  0.50439    
## Foods_3_CA_1.l7   1.467e-02  5.973e-03   2.456  0.01415 *  
## Foods_1_CA_2.l7   4.570e-02  3.881e-02   1.178  0.23915    
## Foods_2_CA_2.l7   6.359e-03  2.800e-02   0.227  0.82036    
## Foods_3_CA_2.l7   1.854e-02  7.524e-03   2.465  0.01381 *  
## Foods_1_CA_3.l7  -4.301e-02  2.371e-02  -1.814  0.06988 .  
## Foods_2_CA_3.l7   1.601e-02  1.220e-02   1.313  0.18939    
## Foods_3_CA_3.l7  -5.093e-03  4.551e-03  -1.119  0.26331    
## Foods_1_CA_1.l8   6.103e-02  2.938e-02   2.077  0.03792 *  
## Foods_2_CA_1.l8   9.541e-03  1.786e-02   0.534  0.59325    
## Foods_3_CA_1.l8   7.880e-04  6.010e-03   0.131  0.89570    
## Foods_1_CA_2.l8  -2.561e-02  3.867e-02  -0.662  0.50789    
## Foods_2_CA_2.l8   1.165e-02  2.795e-02   0.417  0.67690    
## Foods_3_CA_2.l8   8.625e-03  7.586e-03   1.137  0.25566    
## Foods_1_CA_3.l8  -2.182e-03  2.368e-02  -0.092  0.92659    
## Foods_2_CA_3.l8  -2.283e-03  1.218e-02  -0.187  0.85135    
## Foods_3_CA_3.l8  -5.268e-03  4.548e-03  -1.158  0.24683    
## Foods_1_CA_1.l9  -2.859e-02  2.946e-02  -0.971  0.33188    
## Foods_2_CA_1.l9   3.393e-02  1.785e-02   1.901  0.05751 .  
## Foods_3_CA_1.l9  -5.697e-03  5.999e-03  -0.950  0.34247    
## Foods_1_CA_2.l9   2.938e-02  3.854e-02   0.762  0.44601    
## Foods_2_CA_2.l9  -4.143e-02  2.786e-02  -1.487  0.13717    
## Foods_3_CA_2.l9  -4.034e-03  7.555e-03  -0.534  0.59339    
## Foods_1_CA_3.l9  -3.515e-02  2.365e-02  -1.487  0.13727    
## Foods_2_CA_3.l9   1.255e-02  1.219e-02   1.029  0.30339    
## Foods_3_CA_3.l9  -6.177e-03  4.525e-03  -1.365  0.17238    
## Foods_1_CA_1.l10 -3.760e-02  2.948e-02  -1.275  0.20232    
## Foods_2_CA_1.l10  3.233e-03  1.785e-02   0.181  0.85632    
## Foods_3_CA_1.l10 -1.919e-04  6.000e-03  -0.032  0.97449    
## Foods_1_CA_2.l10  1.255e-02  3.856e-02   0.325  0.74491    
## Foods_2_CA_2.l10 -1.894e-02  2.790e-02  -0.679  0.49726    
## Foods_3_CA_2.l10  7.316e-03  7.522e-03   0.973  0.33089    
## Foods_1_CA_3.l10 -3.402e-02  2.353e-02  -1.446  0.14846    
## Foods_2_CA_3.l10 -1.315e-02  1.218e-02  -1.079  0.28051    
## Foods_3_CA_3.l10  3.279e-03  4.514e-03   0.726  0.46766    
## Foods_1_CA_1.l11 -2.307e-02  2.941e-02  -0.784  0.43297    
## Foods_2_CA_1.l11  2.330e-02  1.783e-02   1.307  0.19125    
## Foods_3_CA_1.l11 -8.203e-03  5.980e-03  -1.372  0.17034    
## Foods_1_CA_2.l11 -2.019e-02  3.862e-02  -0.523  0.60117    
## Foods_2_CA_2.l11 -2.123e-02  2.791e-02  -0.760  0.44708    
## Foods_3_CA_2.l11  2.519e-03  7.527e-03   0.335  0.73790    
## Foods_1_CA_3.l11 -6.344e-02  2.351e-02  -2.698  0.00703 ** 
## Foods_2_CA_3.l11  7.665e-03  1.216e-02   0.631  0.52841    
## Foods_3_CA_3.l11  2.235e-03  4.502e-03   0.497  0.61958    
## Foods_1_CA_1.l12  5.821e-02  2.935e-02   1.984  0.04746 *  
## Foods_2_CA_1.l12  5.085e-03  1.790e-02   0.284  0.77638    
## Foods_3_CA_1.l12  5.318e-06  5.997e-03   0.001  0.99929    
## Foods_1_CA_2.l12 -2.181e-02  3.871e-02  -0.563  0.57326    
## Foods_2_CA_2.l12  4.730e-02  2.791e-02   1.695  0.09028 .  
## Foods_3_CA_2.l12 -1.138e-02  7.524e-03  -1.513  0.13053    
## Foods_1_CA_3.l12 -5.461e-03  2.354e-02  -0.232  0.81658    
## Foods_2_CA_3.l12 -7.293e-03  1.212e-02  -0.602  0.54738    
## Foods_3_CA_3.l12 -5.446e-03  4.490e-03  -1.213  0.22530    
## Foods_1_CA_1.l13  7.069e-02  2.929e-02   2.413  0.01592 *  
## Foods_2_CA_1.l13 -1.636e-02  1.778e-02  -0.920  0.35758    
## Foods_3_CA_1.l13 -1.053e-04  5.989e-03  -0.018  0.98597    
## Foods_1_CA_2.l13  7.384e-04  3.853e-02   0.019  0.98471    
## Foods_2_CA_2.l13  2.629e-03  2.788e-02   0.094  0.92487    
## Foods_3_CA_2.l13 -6.258e-03  7.546e-03  -0.829  0.40700    
## Foods_1_CA_3.l13 -1.576e-02  2.343e-02  -0.673  0.50135    
## Foods_2_CA_3.l13 -5.632e-03  1.205e-02  -0.467  0.64023    
## Foods_3_CA_3.l13  6.820e-03  4.465e-03   1.527  0.12685    
## Foods_1_CA_1.l14  4.891e-02  2.824e-02   1.732  0.08347 .  
## Foods_2_CA_1.l14 -1.494e-03  1.698e-02  -0.088  0.92991    
## Foods_3_CA_1.l14  1.112e-02  5.762e-03   1.931  0.05370 .  
## Foods_1_CA_2.l14 -2.356e-02  3.731e-02  -0.632  0.52775    
## Foods_2_CA_2.l14 -5.287e-03  2.727e-02  -0.194  0.84631    
## Foods_3_CA_2.l14  1.449e-02  7.240e-03   2.001  0.04553 *  
## Foods_1_CA_3.l14 -7.832e-03  2.232e-02  -0.351  0.72577    
## Foods_2_CA_3.l14 -3.859e-03  1.122e-02  -0.344  0.73081    
## Foods_3_CA_3.l14 -5.043e-03  4.208e-03  -1.198  0.23090    
## const             6.536e+01  8.363e+00   7.816 9.14e-15 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 25.01 on 1828 degrees of freedom
## Multiple R-Squared: 0.6302,  Adjusted R-squared: 0.6047 
## F-statistic: 24.73 on 126 and 1828 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Foods_2_CA_1: 
## ============================================= 
## Foods_2_CA_1 = Foods_1_CA_1.l1 + Foods_2_CA_1.l1 + Foods_3_CA_1.l1 + Foods_1_CA_2.l1 + Foods_2_CA_2.l1 + Foods_3_CA_2.l1 + Foods_1_CA_3.l1 + Foods_2_CA_3.l1 + Foods_3_CA_3.l1 + Foods_1_CA_1.l2 + Foods_2_CA_1.l2 + Foods_3_CA_1.l2 + Foods_1_CA_2.l2 + Foods_2_CA_2.l2 + Foods_3_CA_2.l2 + Foods_1_CA_3.l2 + Foods_2_CA_3.l2 + Foods_3_CA_3.l2 + Foods_1_CA_1.l3 + Foods_2_CA_1.l3 + Foods_3_CA_1.l3 + Foods_1_CA_2.l3 + Foods_2_CA_2.l3 + Foods_3_CA_2.l3 + Foods_1_CA_3.l3 + Foods_2_CA_3.l3 + Foods_3_CA_3.l3 + Foods_1_CA_1.l4 + Foods_2_CA_1.l4 + Foods_3_CA_1.l4 + Foods_1_CA_2.l4 + Foods_2_CA_2.l4 + Foods_3_CA_2.l4 + Foods_1_CA_3.l4 + Foods_2_CA_3.l4 + Foods_3_CA_3.l4 + Foods_1_CA_1.l5 + Foods_2_CA_1.l5 + Foods_3_CA_1.l5 + Foods_1_CA_2.l5 + Foods_2_CA_2.l5 + Foods_3_CA_2.l5 + Foods_1_CA_3.l5 + Foods_2_CA_3.l5 + Foods_3_CA_3.l5 + Foods_1_CA_1.l6 + Foods_2_CA_1.l6 + Foods_3_CA_1.l6 + Foods_1_CA_2.l6 + Foods_2_CA_2.l6 + Foods_3_CA_2.l6 + Foods_1_CA_3.l6 + Foods_2_CA_3.l6 + Foods_3_CA_3.l6 + Foods_1_CA_1.l7 + Foods_2_CA_1.l7 + Foods_3_CA_1.l7 + Foods_1_CA_2.l7 + Foods_2_CA_2.l7 + Foods_3_CA_2.l7 + Foods_1_CA_3.l7 + Foods_2_CA_3.l7 + Foods_3_CA_3.l7 + Foods_1_CA_1.l8 + Foods_2_CA_1.l8 + Foods_3_CA_1.l8 + Foods_1_CA_2.l8 + Foods_2_CA_2.l8 + Foods_3_CA_2.l8 + Foods_1_CA_3.l8 + Foods_2_CA_3.l8 + Foods_3_CA_3.l8 + Foods_1_CA_1.l9 + Foods_2_CA_1.l9 + Foods_3_CA_1.l9 + Foods_1_CA_2.l9 + Foods_2_CA_2.l9 + Foods_3_CA_2.l9 + Foods_1_CA_3.l9 + Foods_2_CA_3.l9 + Foods_3_CA_3.l9 + Foods_1_CA_1.l10 + Foods_2_CA_1.l10 + Foods_3_CA_1.l10 + Foods_1_CA_2.l10 + Foods_2_CA_2.l10 + Foods_3_CA_2.l10 + Foods_1_CA_3.l10 + Foods_2_CA_3.l10 + Foods_3_CA_3.l10 + Foods_1_CA_1.l11 + Foods_2_CA_1.l11 + Foods_3_CA_1.l11 + Foods_1_CA_2.l11 + Foods_2_CA_2.l11 + Foods_3_CA_2.l11 + Foods_1_CA_3.l11 + Foods_2_CA_3.l11 + Foods_3_CA_3.l11 + Foods_1_CA_1.l12 + Foods_2_CA_1.l12 + Foods_3_CA_1.l12 + Foods_1_CA_2.l12 + Foods_2_CA_2.l12 + Foods_3_CA_2.l12 + Foods_1_CA_3.l12 + Foods_2_CA_3.l12 + Foods_3_CA_3.l12 + Foods_1_CA_1.l13 + Foods_2_CA_1.l13 + Foods_3_CA_1.l13 + Foods_1_CA_2.l13 + Foods_2_CA_2.l13 + Foods_3_CA_2.l13 + Foods_1_CA_3.l13 + Foods_2_CA_3.l13 + Foods_3_CA_3.l13 + Foods_1_CA_1.l14 + Foods_2_CA_1.l14 + Foods_3_CA_1.l14 + Foods_1_CA_2.l14 + Foods_2_CA_2.l14 + Foods_3_CA_2.l14 + Foods_1_CA_3.l14 + Foods_2_CA_3.l14 + Foods_3_CA_3.l14 + const 
## 
##                    Estimate Std. Error t value Pr(>|t|)    
## Foods_1_CA_1.l1   0.1653504  0.0622822   2.655 0.008003 ** 
## Foods_2_CA_1.l1   0.3457952  0.0376546   9.183  < 2e-16 ***
## Foods_3_CA_1.l1   0.0078644  0.0125858   0.625 0.532142    
## Foods_1_CA_2.l1  -0.1336464  0.0821708  -1.626 0.104027    
## Foods_2_CA_2.l1   0.1658210  0.0603330   2.748 0.006047 ** 
## Foods_3_CA_2.l1  -0.0337205  0.0159662  -2.112 0.034823 *  
## Foods_1_CA_3.l1   0.0078235  0.0509753   0.153 0.878040    
## Foods_2_CA_3.l1   0.1042699  0.0249976   4.171 3.17e-05 ***
## Foods_3_CA_3.l1  -0.0237261  0.0094991  -2.498 0.012586 *  
## Foods_1_CA_1.l2  -0.0290963  0.0648403  -0.449 0.653674    
## Foods_2_CA_1.l2   0.1567830  0.0391739   4.002 6.53e-05 ***
## Foods_3_CA_1.l2  -0.0428816  0.0131075  -3.272 0.001090 ** 
## Foods_1_CA_2.l2  -0.0110099  0.0848663  -0.130 0.896793    
## Foods_2_CA_2.l2  -0.0243232  0.0619369  -0.393 0.694580    
## Foods_3_CA_2.l2   0.0068022  0.0164448   0.414 0.679189    
## Foods_1_CA_3.l2  -0.0083830  0.0527625  -0.159 0.873779    
## Foods_2_CA_3.l2  -0.0663756  0.0266254  -2.493 0.012757 *  
## Foods_3_CA_3.l2   0.0220892  0.0099556   2.219 0.026624 *  
## Foods_1_CA_1.l3   0.0155804  0.0648975   0.240 0.810297    
## Foods_2_CA_1.l3   0.0781757  0.0392941   1.990 0.046795 *  
## Foods_3_CA_1.l3  -0.0145672  0.0131249  -1.110 0.267192    
## Foods_1_CA_2.l3  -0.0525750  0.0847939  -0.620 0.535313    
## Foods_2_CA_2.l3   0.0291239  0.0622409   0.468 0.639897    
## Foods_3_CA_2.l3   0.0194452  0.0165723   1.173 0.240806    
## Foods_1_CA_3.l3   0.0063787  0.0526765   0.121 0.903632    
## Foods_2_CA_3.l3  -0.0007492  0.0268437  -0.028 0.977736    
## Foods_3_CA_3.l3  -0.0020902  0.0099860  -0.209 0.834229    
## Foods_1_CA_1.l4  -0.0640152  0.0649045  -0.986 0.324117    
## Foods_2_CA_1.l4   0.0441212  0.0393323   1.122 0.262114    
## Foods_3_CA_1.l4  -0.0059408  0.0131077  -0.453 0.650436    
## Foods_1_CA_2.l4   0.0078988  0.0847385   0.093 0.925744    
## Foods_2_CA_2.l4  -0.1339236  0.0620297  -2.159 0.030978 *  
## Foods_3_CA_2.l4   0.0185162  0.0166135   1.115 0.265200    
## Foods_1_CA_3.l4   0.1115816  0.0525262   2.124 0.033779 *  
## Foods_2_CA_3.l4   0.0021719  0.0268248   0.081 0.935479    
## Foods_3_CA_3.l4   0.0088788  0.0099836   0.889 0.373939    
## Foods_1_CA_1.l5   0.0822639  0.0650984   1.264 0.206504    
## Foods_2_CA_1.l5   0.0832023  0.0394299   2.110 0.034983 *  
## Foods_3_CA_1.l5  -0.0173337  0.0131219  -1.321 0.186673    
## Foods_1_CA_2.l5   0.0778978  0.0854147   0.912 0.361891    
## Foods_2_CA_2.l5  -0.0336794  0.0620819  -0.542 0.587541    
## Foods_3_CA_2.l5  -0.0255583  0.0166612  -1.534 0.125202    
## Foods_1_CA_3.l5  -0.0553926  0.0525301  -1.054 0.291797    
## Foods_2_CA_3.l5   0.0426753  0.0268816   1.588 0.112566    
## Foods_3_CA_3.l5   0.0060449  0.0100106   0.604 0.546018    
## Foods_1_CA_1.l6   0.0474002  0.0649392   0.730 0.465535    
## Foods_2_CA_1.l6   0.0421261  0.0394772   1.067 0.286068    
## Foods_3_CA_1.l6  -0.0072853  0.0131708  -0.553 0.580235    
## Foods_1_CA_2.l6  -0.0852314  0.0852520  -1.000 0.317560    
## Foods_2_CA_2.l6   0.0174395  0.0618223   0.282 0.777906    
## Foods_3_CA_2.l6   0.0086770  0.0166697   0.521 0.602758    
## Foods_1_CA_3.l6  -0.0296708  0.0526579  -0.563 0.573188    
## Foods_2_CA_3.l6  -0.0235296  0.0269501  -0.873 0.382734    
## Foods_3_CA_3.l6   0.0018873  0.0100333   0.188 0.850819    
## Foods_1_CA_1.l7  -0.1140889  0.0647315  -1.762 0.078153 .  
## Foods_2_CA_1.l7   0.0897617  0.0395693   2.268 0.023417 *  
## Foods_3_CA_1.l7   0.0571676  0.0132164   4.326 1.60e-05 ***
## Foods_1_CA_2.l7  -0.0205619  0.0858883  -0.239 0.810820    
## Foods_2_CA_2.l7  -0.0171365  0.0619533  -0.277 0.782116    
## Foods_3_CA_2.l7   0.0503213  0.0166488   3.023 0.002542 ** 
## Foods_1_CA_3.l7  -0.0633945  0.0524718  -1.208 0.227141    
## Foods_2_CA_3.l7   0.0103681  0.0269914   0.384 0.700930    
## Foods_3_CA_3.l7  -0.0187556  0.0100714  -1.862 0.062727 .  
## Foods_1_CA_1.l8   0.0240501  0.0650164   0.370 0.711494    
## Foods_2_CA_1.l8  -0.0431467  0.0395199  -1.092 0.275077    
## Foods_3_CA_1.l8   0.0055205  0.0132986   0.415 0.678102    
## Foods_1_CA_2.l8   0.1005418  0.0855789   1.175 0.240211    
## Foods_2_CA_2.l8  -0.0539300  0.0618502  -0.872 0.383352    
## Foods_3_CA_2.l8  -0.0087629  0.0167857  -0.522 0.601701    
## Foods_1_CA_3.l8  -0.0662594  0.0523923  -1.265 0.206148    
## Foods_2_CA_3.l8   0.0621678  0.0269548   2.306 0.021201 *  
## Foods_3_CA_3.l8  -0.0135602  0.0100638  -1.347 0.178011    
## Foods_1_CA_1.l9   0.0172339  0.0651921   0.264 0.791536    
## Foods_2_CA_1.l9   0.0113020  0.0395005   0.286 0.774817    
## Foods_3_CA_1.l9   0.0008950  0.0132753   0.067 0.946254    
## Foods_1_CA_2.l9   0.1291888  0.0852854   1.515 0.130001    
## Foods_2_CA_2.l9   0.0082441  0.0616513   0.134 0.893637    
## Foods_3_CA_2.l9  -0.0432354  0.0167171  -2.586 0.009778 ** 
## Foods_1_CA_3.l9  -0.0369240  0.0523257  -0.706 0.480491    
## Foods_2_CA_3.l9   0.0036228  0.0269673   0.134 0.893148    
## Foods_3_CA_3.l9  -0.0048263  0.0100135  -0.482 0.629874    
## Foods_1_CA_1.l10 -0.0696086  0.0652323  -1.067 0.286073    
## Foods_2_CA_1.l10 -0.0359973  0.0395102  -0.911 0.362368    
## Foods_3_CA_1.l10 -0.0069172  0.0132762  -0.521 0.602418    
## Foods_1_CA_2.l10 -0.0113747  0.0853375  -0.133 0.893978    
## Foods_2_CA_2.l10  0.1041106  0.0617417   1.686 0.091922 .  
## Foods_3_CA_2.l10  0.0028271  0.0166461   0.170 0.865158    
## Foods_1_CA_3.l10 -0.0494807  0.0520702  -0.950 0.342101    
## Foods_2_CA_3.l10 -0.0333405  0.0269580  -1.237 0.216336    
## Foods_3_CA_3.l10  0.0124863  0.0099881   1.250 0.211415    
## Foods_1_CA_1.l11  0.0419737  0.0650787   0.645 0.519029    
## Foods_2_CA_1.l11  0.0384152  0.0394444   0.974 0.330232    
## Foods_3_CA_1.l11 -0.0114501  0.0132335  -0.865 0.387021    
## Foods_1_CA_2.l11  0.1048430  0.0854615   1.227 0.220061    
## Foods_2_CA_2.l11  0.0167756  0.0617659   0.272 0.785961    
## Foods_3_CA_2.l11 -0.0216567  0.0166567  -1.300 0.193704    
## Foods_1_CA_3.l11  0.0064872  0.0520263   0.125 0.900782    
## Foods_2_CA_3.l11  0.0133594  0.0269004   0.497 0.619513    
## Foods_3_CA_3.l11 -0.0022707  0.0099612  -0.228 0.819703    
## Foods_1_CA_1.l12 -0.0005450  0.0649368  -0.008 0.993304    
## Foods_2_CA_1.l12 -0.0838076  0.0396070  -2.116 0.034482 *  
## Foods_3_CA_1.l12  0.0129115  0.0132704   0.973 0.330703    
## Foods_1_CA_2.l12  0.0335622  0.0856674   0.392 0.695272    
## Foods_2_CA_2.l12 -0.0136480  0.0617611  -0.221 0.825132    
## Foods_3_CA_2.l12 -0.0043605  0.0166499  -0.262 0.793432    
## Foods_1_CA_3.l12 -0.0166807  0.0520902  -0.320 0.748832    
## Foods_2_CA_3.l12 -0.0307929  0.0268182  -1.148 0.251032    
## Foods_3_CA_3.l12  0.0035827  0.0099348   0.361 0.718427    
## Foods_1_CA_1.l13  0.0128269  0.0648251   0.198 0.843170    
## Foods_2_CA_1.l13  0.0260243  0.0393459   0.661 0.508425    
## Foods_3_CA_1.l13  0.0017450  0.0132528   0.132 0.895258    
## Foods_1_CA_2.l13 -0.0734677  0.0852700  -0.862 0.389027    
## Foods_2_CA_2.l13 -0.0715058  0.0616913  -1.159 0.246571    
## Foods_3_CA_2.l13  0.0101714  0.0166973   0.609 0.542490    
## Foods_1_CA_3.l13 -0.0112362  0.0518446  -0.217 0.828444    
## Foods_2_CA_3.l13 -0.0323600  0.0266616  -1.214 0.225008    
## Foods_3_CA_3.l13  0.0226365  0.0098812   2.291 0.022085 *  
## Foods_1_CA_1.l14  0.0781581  0.0624911   1.251 0.211201    
## Foods_2_CA_1.l14  0.1318361  0.0375811   3.508 0.000462 ***
## Foods_3_CA_1.l14 -0.0047577  0.0127496  -0.373 0.709068    
## Foods_1_CA_2.l14 -0.0277266  0.0825557  -0.336 0.737020    
## Foods_2_CA_2.l14 -0.1383777  0.0603444  -2.293 0.021954 *  
## Foods_3_CA_2.l14  0.0476471  0.0160201   2.974 0.002976 ** 
## Foods_1_CA_3.l14 -0.0445527  0.0493999  -0.902 0.367240    
## Foods_2_CA_3.l14 -0.0060896  0.0248174  -0.245 0.806192    
## Foods_3_CA_3.l14 -0.0051437  0.0093122  -0.552 0.580769    
## const            51.6317771 18.5050142   2.790 0.005323 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 55.33 on 1828 degrees of freedom
## Multiple R-Squared: 0.7243,  Adjusted R-squared: 0.7053 
## F-statistic: 38.12 on 126 and 1828 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Foods_3_CA_1: 
## ============================================= 
## Foods_3_CA_1 = Foods_1_CA_1.l1 + Foods_2_CA_1.l1 + Foods_3_CA_1.l1 + Foods_1_CA_2.l1 + Foods_2_CA_2.l1 + Foods_3_CA_2.l1 + Foods_1_CA_3.l1 + Foods_2_CA_3.l1 + Foods_3_CA_3.l1 + Foods_1_CA_1.l2 + Foods_2_CA_1.l2 + Foods_3_CA_1.l2 + Foods_1_CA_2.l2 + Foods_2_CA_2.l2 + Foods_3_CA_2.l2 + Foods_1_CA_3.l2 + Foods_2_CA_3.l2 + Foods_3_CA_3.l2 + Foods_1_CA_1.l3 + Foods_2_CA_1.l3 + Foods_3_CA_1.l3 + Foods_1_CA_2.l3 + Foods_2_CA_2.l3 + Foods_3_CA_2.l3 + Foods_1_CA_3.l3 + Foods_2_CA_3.l3 + Foods_3_CA_3.l3 + Foods_1_CA_1.l4 + Foods_2_CA_1.l4 + Foods_3_CA_1.l4 + Foods_1_CA_2.l4 + Foods_2_CA_2.l4 + Foods_3_CA_2.l4 + Foods_1_CA_3.l4 + Foods_2_CA_3.l4 + Foods_3_CA_3.l4 + Foods_1_CA_1.l5 + Foods_2_CA_1.l5 + Foods_3_CA_1.l5 + Foods_1_CA_2.l5 + Foods_2_CA_2.l5 + Foods_3_CA_2.l5 + Foods_1_CA_3.l5 + Foods_2_CA_3.l5 + Foods_3_CA_3.l5 + Foods_1_CA_1.l6 + Foods_2_CA_1.l6 + Foods_3_CA_1.l6 + Foods_1_CA_2.l6 + Foods_2_CA_2.l6 + Foods_3_CA_2.l6 + Foods_1_CA_3.l6 + Foods_2_CA_3.l6 + Foods_3_CA_3.l6 + Foods_1_CA_1.l7 + Foods_2_CA_1.l7 + Foods_3_CA_1.l7 + Foods_1_CA_2.l7 + Foods_2_CA_2.l7 + Foods_3_CA_2.l7 + Foods_1_CA_3.l7 + Foods_2_CA_3.l7 + Foods_3_CA_3.l7 + Foods_1_CA_1.l8 + Foods_2_CA_1.l8 + Foods_3_CA_1.l8 + Foods_1_CA_2.l8 + Foods_2_CA_2.l8 + Foods_3_CA_2.l8 + Foods_1_CA_3.l8 + Foods_2_CA_3.l8 + Foods_3_CA_3.l8 + Foods_1_CA_1.l9 + Foods_2_CA_1.l9 + Foods_3_CA_1.l9 + Foods_1_CA_2.l9 + Foods_2_CA_2.l9 + Foods_3_CA_2.l9 + Foods_1_CA_3.l9 + Foods_2_CA_3.l9 + Foods_3_CA_3.l9 + Foods_1_CA_1.l10 + Foods_2_CA_1.l10 + Foods_3_CA_1.l10 + Foods_1_CA_2.l10 + Foods_2_CA_2.l10 + Foods_3_CA_2.l10 + Foods_1_CA_3.l10 + Foods_2_CA_3.l10 + Foods_3_CA_3.l10 + Foods_1_CA_1.l11 + Foods_2_CA_1.l11 + Foods_3_CA_1.l11 + Foods_1_CA_2.l11 + Foods_2_CA_2.l11 + Foods_3_CA_2.l11 + Foods_1_CA_3.l11 + Foods_2_CA_3.l11 + Foods_3_CA_3.l11 + Foods_1_CA_1.l12 + Foods_2_CA_1.l12 + Foods_3_CA_1.l12 + Foods_1_CA_2.l12 + Foods_2_CA_2.l12 + Foods_3_CA_2.l12 + Foods_1_CA_3.l12 + Foods_2_CA_3.l12 + Foods_3_CA_3.l12 + Foods_1_CA_1.l13 + Foods_2_CA_1.l13 + Foods_3_CA_1.l13 + Foods_1_CA_2.l13 + Foods_2_CA_2.l13 + Foods_3_CA_2.l13 + Foods_1_CA_3.l13 + Foods_2_CA_3.l13 + Foods_3_CA_3.l13 + Foods_1_CA_1.l14 + Foods_2_CA_1.l14 + Foods_3_CA_1.l14 + Foods_1_CA_2.l14 + Foods_2_CA_2.l14 + Foods_3_CA_2.l14 + Foods_1_CA_3.l14 + Foods_2_CA_3.l14 + Foods_3_CA_3.l14 + const 
## 
##                    Estimate Std. Error t value Pr(>|t|)    
## Foods_1_CA_1.l1    0.494557   0.229929   2.151 0.031613 *  
## Foods_2_CA_1.l1    0.208413   0.139010   1.499 0.133978    
## Foods_3_CA_1.l1    0.293833   0.046463   6.324 3.20e-10 ***
## Foods_1_CA_2.l1   -0.583296   0.303352  -1.923 0.054656 .  
## Foods_2_CA_2.l1    0.177723   0.222733   0.798 0.425022    
## Foods_3_CA_2.l1   -0.010366   0.058943  -0.176 0.860425    
## Foods_1_CA_3.l1    0.274147   0.188187   1.457 0.145349    
## Foods_2_CA_3.l1   -0.045025   0.092284  -0.488 0.625684    
## Foods_3_CA_3.l1    0.019011   0.035068   0.542 0.587797    
## Foods_1_CA_1.l2   -0.277712   0.239372  -1.160 0.246132    
## Foods_2_CA_1.l2    0.131664   0.144619   0.910 0.362719    
## Foods_3_CA_1.l2   -0.037202   0.048389  -0.769 0.442104    
## Foods_1_CA_2.l2    0.092096   0.313303   0.294 0.768827    
## Foods_2_CA_2.l2    0.015231   0.228654   0.067 0.946898    
## Foods_3_CA_2.l2   -0.085352   0.060710  -1.406 0.159923    
## Foods_1_CA_3.l2    0.029748   0.194784   0.153 0.878632    
## Foods_2_CA_3.l2   -0.103293   0.098294  -1.051 0.293459    
## Foods_3_CA_3.l2    0.078108   0.036753   2.125 0.033703 *  
## Foods_1_CA_1.l3   -0.011939   0.239583  -0.050 0.960261    
## Foods_2_CA_1.l3    0.205878   0.145063   1.419 0.156001    
## Foods_3_CA_1.l3   -0.048102   0.048454  -0.993 0.320968    
## Foods_1_CA_2.l3    0.186491   0.313035   0.596 0.551416    
## Foods_2_CA_2.l3    0.057269   0.229776   0.249 0.803205    
## Foods_3_CA_2.l3    0.006806   0.061180   0.111 0.911439    
## Foods_1_CA_3.l3    0.285502   0.194467   1.468 0.142242    
## Foods_2_CA_3.l3   -0.040393   0.099100  -0.408 0.683612    
## Foods_3_CA_3.l3    0.008352   0.036866   0.227 0.820801    
## Foods_1_CA_1.l4   -0.381747   0.239609  -1.593 0.111287    
## Foods_2_CA_1.l4   -0.105830   0.145204  -0.729 0.466195    
## Foods_3_CA_1.l4    0.056534   0.048390   1.168 0.242840    
## Foods_1_CA_2.l4   -0.017697   0.312831  -0.057 0.954894    
## Foods_2_CA_2.l4   -0.467347   0.228996  -2.041 0.041409 *  
## Foods_3_CA_2.l4    0.051932   0.061332   0.847 0.397257    
## Foods_1_CA_3.l4   -0.055694   0.193912  -0.287 0.773983    
## Foods_2_CA_3.l4    0.017937   0.099030   0.181 0.856290    
## Foods_3_CA_3.l4    0.052338   0.036857   1.420 0.155762    
## Foods_1_CA_1.l5    0.315435   0.240325   1.313 0.189505    
## Foods_2_CA_1.l5    0.300513   0.145564   2.064 0.039114 *  
## Foods_3_CA_1.l5   -0.106026   0.048442  -2.189 0.028744 *  
## Foods_1_CA_2.l5    0.535543   0.315327   1.698 0.089608 .  
## Foods_2_CA_2.l5   -0.001670   0.229189  -0.007 0.994187    
## Foods_3_CA_2.l5   -0.130836   0.061508  -2.127 0.033543 *  
## Foods_1_CA_3.l5   -0.046580   0.193926  -0.240 0.810207    
## Foods_2_CA_3.l5    0.036711   0.099239   0.370 0.711483    
## Foods_3_CA_3.l5    0.057135   0.036956   1.546 0.122277    
## Foods_1_CA_1.l6    0.303523   0.239737   1.266 0.205651    
## Foods_2_CA_1.l6   -0.155710   0.145739  -1.068 0.285471    
## Foods_3_CA_1.l6    0.069273   0.048623   1.425 0.154415    
## Foods_1_CA_2.l6   -0.301166   0.314726  -0.957 0.338737    
## Foods_2_CA_2.l6   -0.061957   0.228231  -0.271 0.786063    
## Foods_3_CA_2.l6   -0.012879   0.061540  -0.209 0.834256    
## Foods_1_CA_3.l6    0.177074   0.194398   0.911 0.362478    
## Foods_2_CA_3.l6   -0.028635   0.099492  -0.288 0.773525    
## Foods_3_CA_3.l6   -0.022602   0.037040  -0.610 0.541800    
## Foods_1_CA_1.l7   -0.563923   0.238971  -2.360 0.018389 *  
## Foods_2_CA_1.l7    0.009071   0.146079   0.062 0.950493    
## Foods_3_CA_1.l7    0.301801   0.048791   6.186 7.62e-10 ***
## Foods_1_CA_2.l7    0.066847   0.317076   0.211 0.833048    
## Foods_2_CA_2.l7   -0.091736   0.228714  -0.401 0.688396    
## Foods_3_CA_2.l7    0.243993   0.061463   3.970 7.47e-05 ***
## Foods_1_CA_3.l7   -0.263973   0.193711  -1.363 0.173142    
## Foods_2_CA_3.l7    0.016074   0.099645   0.161 0.871868    
## Foods_3_CA_3.l7   -0.045160   0.037181  -1.215 0.224674    
## Foods_1_CA_1.l8    0.153117   0.240022   0.638 0.523599    
## Foods_2_CA_1.l8   -0.076756   0.145896  -0.526 0.598883    
## Foods_3_CA_1.l8    0.011654   0.049095   0.237 0.812392    
## Foods_1_CA_2.l8    0.099603   0.315933   0.315 0.752595    
## Foods_2_CA_2.l8   -0.076511   0.228334  -0.335 0.737601    
## Foods_3_CA_2.l8    0.001031   0.061968   0.017 0.986724    
## Foods_1_CA_3.l8   -0.393777   0.193418  -2.036 0.041905 *  
## Foods_2_CA_3.l8    0.308555   0.099509   3.101 0.001960 ** 
## Foods_3_CA_3.l8   -0.078651   0.037153  -2.117 0.034398 *  
## Foods_1_CA_1.l9   -0.143848   0.240671  -0.598 0.550116    
## Foods_2_CA_1.l9    0.088199   0.145825   0.605 0.545367    
## Foods_3_CA_1.l9    0.003304   0.049009   0.067 0.946252    
## Foods_1_CA_2.l9    0.530312   0.314850   1.684 0.092288 .  
## Foods_2_CA_2.l9   -0.151185   0.227599  -0.664 0.506608    
## Foods_3_CA_2.l9   -0.116650   0.061715  -1.890 0.058898 .  
## Foods_1_CA_3.l9   -0.198649   0.193172  -1.028 0.303920    
## Foods_2_CA_3.l9   -0.051966   0.099556  -0.522 0.601750    
## Foods_3_CA_3.l9   -0.051908   0.036967  -1.404 0.160437    
## Foods_1_CA_1.l10  -0.338409   0.240820  -1.405 0.160121    
## Foods_2_CA_1.l10  -0.173697   0.145861  -1.191 0.233870    
## Foods_3_CA_1.l10  -0.022171   0.049012  -0.452 0.651063    
## Foods_1_CA_2.l10   0.147931   0.315042   0.470 0.638725    
## Foods_2_CA_2.l10   0.110466   0.227933   0.485 0.627987    
## Foods_3_CA_2.l10   0.042618   0.061453   0.694 0.488077    
## Foods_1_CA_3.l10  -0.271101   0.192229  -1.410 0.158620    
## Foods_2_CA_3.l10  -0.129467   0.099521  -1.301 0.193458    
## Foods_3_CA_3.l10   0.079685   0.036873   2.161 0.030820 *  
## Foods_1_CA_1.l11   0.166358   0.240252   0.692 0.488756    
## Foods_2_CA_1.l11   0.120545   0.145618   0.828 0.407880    
## Foods_3_CA_1.l11  -0.078169   0.048854  -1.600 0.109761    
## Foods_1_CA_2.l11   0.358841   0.315500   1.137 0.255532    
## Foods_2_CA_2.l11   0.123959   0.228022   0.544 0.586765    
## Foods_3_CA_2.l11  -0.077637   0.061492  -1.263 0.206913    
## Foods_1_CA_3.l11  -0.106713   0.192066  -0.556 0.578550    
## Foods_2_CA_3.l11   0.057024   0.099309   0.574 0.565901    
## Foods_3_CA_3.l11  -0.003142   0.036774  -0.085 0.931912    
## Foods_1_CA_1.l12   0.091897   0.239729   0.383 0.701514    
## Foods_2_CA_1.l12  -0.220060   0.146218  -1.505 0.132494    
## Foods_3_CA_1.l12   0.099089   0.048991   2.023 0.043259 *  
## Foods_1_CA_2.l12  -0.067666   0.316260  -0.214 0.830605    
## Foods_2_CA_2.l12   0.152175   0.228005   0.667 0.504586    
## Foods_3_CA_2.l12  -0.067732   0.061467  -1.102 0.270636    
## Foods_1_CA_3.l12  -0.119129   0.192303  -0.619 0.535673    
## Foods_2_CA_3.l12   0.017297   0.099005   0.175 0.861327    
## Foods_3_CA_3.l12  -0.038438   0.036677  -1.048 0.294768    
## Foods_1_CA_1.l13   0.162950   0.239316   0.681 0.496021    
## Foods_2_CA_1.l13  -0.164003   0.145254  -1.129 0.259015    
## Foods_3_CA_1.l13   0.051733   0.048925   1.057 0.290480    
## Foods_1_CA_2.l13  -0.090558   0.314793  -0.288 0.773627    
## Foods_2_CA_2.l13   0.049939   0.227747   0.219 0.826461    
## Foods_3_CA_2.l13  -0.057179   0.061642  -0.928 0.353739    
## Foods_1_CA_3.l13   0.116221   0.191396   0.607 0.543773    
## Foods_2_CA_3.l13  -0.120503   0.098427  -1.224 0.221003    
## Foods_3_CA_3.l13   0.093101   0.036479   2.552 0.010785 *  
## Foods_1_CA_1.l14  -0.094290   0.230700  -0.409 0.682797    
## Foods_2_CA_1.l14   0.133735   0.138739   0.964 0.335208    
## Foods_3_CA_1.l14   0.179855   0.047068   3.821 0.000137 ***
## Foods_1_CA_2.l14  -0.259599   0.304773  -0.852 0.394449    
## Foods_2_CA_2.l14  -0.495789   0.222775  -2.226 0.026168 *  
## Foods_3_CA_2.l14   0.252119   0.059142   4.263 2.12e-05 ***
## Foods_1_CA_3.l14  -0.170124   0.182371  -0.933 0.351022    
## Foods_2_CA_3.l14   0.059420   0.091619   0.649 0.516705    
## Foods_3_CA_3.l14  -0.075419   0.034378  -2.194 0.028373 *  
## const            302.801683  68.315343   4.432 9.87e-06 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 204.3 on 1828 degrees of freedom
## Multiple R-Squared: 0.8013,  Adjusted R-squared: 0.7877 
## F-statistic: 58.52 on 126 and 1828 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Foods_1_CA_2: 
## ============================================= 
## Foods_1_CA_2 = Foods_1_CA_1.l1 + Foods_2_CA_1.l1 + Foods_3_CA_1.l1 + Foods_1_CA_2.l1 + Foods_2_CA_2.l1 + Foods_3_CA_2.l1 + Foods_1_CA_3.l1 + Foods_2_CA_3.l1 + Foods_3_CA_3.l1 + Foods_1_CA_1.l2 + Foods_2_CA_1.l2 + Foods_3_CA_1.l2 + Foods_1_CA_2.l2 + Foods_2_CA_2.l2 + Foods_3_CA_2.l2 + Foods_1_CA_3.l2 + Foods_2_CA_3.l2 + Foods_3_CA_3.l2 + Foods_1_CA_1.l3 + Foods_2_CA_1.l3 + Foods_3_CA_1.l3 + Foods_1_CA_2.l3 + Foods_2_CA_2.l3 + Foods_3_CA_2.l3 + Foods_1_CA_3.l3 + Foods_2_CA_3.l3 + Foods_3_CA_3.l3 + Foods_1_CA_1.l4 + Foods_2_CA_1.l4 + Foods_3_CA_1.l4 + Foods_1_CA_2.l4 + Foods_2_CA_2.l4 + Foods_3_CA_2.l4 + Foods_1_CA_3.l4 + Foods_2_CA_3.l4 + Foods_3_CA_3.l4 + Foods_1_CA_1.l5 + Foods_2_CA_1.l5 + Foods_3_CA_1.l5 + Foods_1_CA_2.l5 + Foods_2_CA_2.l5 + Foods_3_CA_2.l5 + Foods_1_CA_3.l5 + Foods_2_CA_3.l5 + Foods_3_CA_3.l5 + Foods_1_CA_1.l6 + Foods_2_CA_1.l6 + Foods_3_CA_1.l6 + Foods_1_CA_2.l6 + Foods_2_CA_2.l6 + Foods_3_CA_2.l6 + Foods_1_CA_3.l6 + Foods_2_CA_3.l6 + Foods_3_CA_3.l6 + Foods_1_CA_1.l7 + Foods_2_CA_1.l7 + Foods_3_CA_1.l7 + Foods_1_CA_2.l7 + Foods_2_CA_2.l7 + Foods_3_CA_2.l7 + Foods_1_CA_3.l7 + Foods_2_CA_3.l7 + Foods_3_CA_3.l7 + Foods_1_CA_1.l8 + Foods_2_CA_1.l8 + Foods_3_CA_1.l8 + Foods_1_CA_2.l8 + Foods_2_CA_2.l8 + Foods_3_CA_2.l8 + Foods_1_CA_3.l8 + Foods_2_CA_3.l8 + Foods_3_CA_3.l8 + Foods_1_CA_1.l9 + Foods_2_CA_1.l9 + Foods_3_CA_1.l9 + Foods_1_CA_2.l9 + Foods_2_CA_2.l9 + Foods_3_CA_2.l9 + Foods_1_CA_3.l9 + Foods_2_CA_3.l9 + Foods_3_CA_3.l9 + Foods_1_CA_1.l10 + Foods_2_CA_1.l10 + Foods_3_CA_1.l10 + Foods_1_CA_2.l10 + Foods_2_CA_2.l10 + Foods_3_CA_2.l10 + Foods_1_CA_3.l10 + Foods_2_CA_3.l10 + Foods_3_CA_3.l10 + Foods_1_CA_1.l11 + Foods_2_CA_1.l11 + Foods_3_CA_1.l11 + Foods_1_CA_2.l11 + Foods_2_CA_2.l11 + Foods_3_CA_2.l11 + Foods_1_CA_3.l11 + Foods_2_CA_3.l11 + Foods_3_CA_3.l11 + Foods_1_CA_1.l12 + Foods_2_CA_1.l12 + Foods_3_CA_1.l12 + Foods_1_CA_2.l12 + Foods_2_CA_2.l12 + Foods_3_CA_2.l12 + Foods_1_CA_3.l12 + Foods_2_CA_3.l12 + Foods_3_CA_3.l12 + Foods_1_CA_1.l13 + Foods_2_CA_1.l13 + Foods_3_CA_1.l13 + Foods_1_CA_2.l13 + Foods_2_CA_2.l13 + Foods_3_CA_2.l13 + Foods_1_CA_3.l13 + Foods_2_CA_3.l13 + Foods_3_CA_3.l13 + Foods_1_CA_1.l14 + Foods_2_CA_1.l14 + Foods_3_CA_1.l14 + Foods_1_CA_2.l14 + Foods_2_CA_2.l14 + Foods_3_CA_2.l14 + Foods_1_CA_3.l14 + Foods_2_CA_3.l14 + Foods_3_CA_3.l14 + const 
## 
##                    Estimate Std. Error t value Pr(>|t|)    
## Foods_1_CA_1.l1   3.082e-02  1.954e-02   1.577 0.114936    
## Foods_2_CA_1.l1   8.518e-03  1.181e-02   0.721 0.470986    
## Foods_3_CA_1.l1  -1.244e-02  3.949e-03  -3.151 0.001654 ** 
## Foods_1_CA_2.l1   2.486e-01  2.578e-02   9.643  < 2e-16 ***
## Foods_2_CA_2.l1   2.007e-02  1.893e-02   1.060 0.289189    
## Foods_3_CA_2.l1   1.852e-02  5.009e-03   3.698 0.000224 ***
## Foods_1_CA_3.l1   7.565e-03  1.599e-02   0.473 0.636284    
## Foods_2_CA_3.l1  -9.030e-03  7.843e-03  -1.151 0.249717    
## Foods_3_CA_3.l1  -1.937e-03  2.980e-03  -0.650 0.515901    
## Foods_1_CA_1.l2   3.560e-02  2.034e-02   1.750 0.080278 .  
## Foods_2_CA_1.l2  -1.604e-02  1.229e-02  -1.305 0.192079    
## Foods_3_CA_1.l2   5.882e-03  4.112e-03   1.430 0.152806    
## Foods_1_CA_2.l2   7.414e-02  2.663e-02   2.785 0.005415 ** 
## Foods_2_CA_2.l2  -2.407e-02  1.943e-02  -1.239 0.215635    
## Foods_3_CA_2.l2  -8.917e-03  5.160e-03  -1.728 0.084096 .  
## Foods_1_CA_3.l2   2.229e-02  1.655e-02   1.346 0.178370    
## Foods_2_CA_3.l2   1.421e-02  8.354e-03   1.701 0.089136 .  
## Foods_3_CA_3.l2  -1.200e-03  3.124e-03  -0.384 0.700810    
## Foods_1_CA_1.l3  -2.498e-02  2.036e-02  -1.227 0.220072    
## Foods_2_CA_1.l3   3.666e-03  1.233e-02   0.297 0.766203    
## Foods_3_CA_1.l3  -1.588e-03  4.118e-03  -0.386 0.699742    
## Foods_1_CA_2.l3   4.875e-02  2.660e-02   1.832 0.067078 .  
## Foods_2_CA_2.l3  -6.213e-03  1.953e-02  -0.318 0.750419    
## Foods_3_CA_2.l3   5.052e-04  5.200e-03   0.097 0.922616    
## Foods_1_CA_3.l3  -2.882e-03  1.653e-02  -0.174 0.861596    
## Foods_2_CA_3.l3  -1.019e-02  8.422e-03  -1.210 0.226273    
## Foods_3_CA_3.l3   1.866e-03  3.133e-03   0.596 0.551478    
## Foods_1_CA_1.l4   2.691e-02  2.036e-02   1.322 0.186439    
## Foods_2_CA_1.l4  -8.456e-03  1.234e-02  -0.685 0.493268    
## Foods_3_CA_1.l4   3.700e-03  4.113e-03   0.900 0.368449    
## Foods_1_CA_2.l4   3.878e-02  2.659e-02   1.459 0.144845    
## Foods_2_CA_2.l4  -3.756e-02  1.946e-02  -1.930 0.053792 .  
## Foods_3_CA_2.l4   6.372e-03  5.213e-03   1.222 0.221680    
## Foods_1_CA_3.l4  -1.281e-02  1.648e-02  -0.777 0.436972    
## Foods_2_CA_3.l4   1.057e-02  8.416e-03   1.256 0.209287    
## Foods_3_CA_3.l4  -3.796e-03  3.132e-03  -1.212 0.225763    
## Foods_1_CA_1.l5   3.115e-02  2.042e-02   1.525 0.127361    
## Foods_2_CA_1.l5   2.523e-02  1.237e-02   2.040 0.041532 *  
## Foods_3_CA_1.l5  -5.755e-03  4.117e-03  -1.398 0.162297    
## Foods_1_CA_2.l5   6.642e-02  2.680e-02   2.479 0.013280 *  
## Foods_2_CA_2.l5  -1.192e-02  1.948e-02  -0.612 0.540749    
## Foods_3_CA_2.l5  -6.538e-03  5.227e-03  -1.251 0.211218    
## Foods_1_CA_3.l5  -1.881e-02  1.648e-02  -1.141 0.253997    
## Foods_2_CA_3.l5  -7.094e-03  8.434e-03  -0.841 0.400394    
## Foods_3_CA_3.l5   4.156e-03  3.141e-03   1.323 0.185933    
## Foods_1_CA_1.l6   7.757e-03  2.037e-02   0.381 0.703442    
## Foods_2_CA_1.l6  -3.855e-03  1.239e-02  -0.311 0.755630    
## Foods_3_CA_1.l6   2.986e-03  4.132e-03   0.723 0.470048    
## Foods_1_CA_2.l6   1.397e-01  2.675e-02   5.225 1.94e-07 ***
## Foods_2_CA_2.l6   2.121e-02  1.940e-02   1.093 0.274403    
## Foods_3_CA_2.l6  -5.149e-03  5.230e-03  -0.985 0.324960    
## Foods_1_CA_3.l6  -3.587e-03  1.652e-02  -0.217 0.828137    
## Foods_2_CA_3.l6  -7.245e-03  8.456e-03  -0.857 0.391676    
## Foods_3_CA_3.l6   3.920e-04  3.148e-03   0.125 0.900917    
## Foods_1_CA_1.l7  -6.379e-02  2.031e-02  -3.141 0.001713 ** 
## Foods_2_CA_1.l7  -1.945e-02  1.241e-02  -1.566 0.117417    
## Foods_3_CA_1.l7   8.956e-03  4.147e-03   2.160 0.030925 *  
## Foods_1_CA_2.l7   2.259e-01  2.695e-02   8.382  < 2e-16 ***
## Foods_2_CA_2.l7  -3.982e-03  1.944e-02  -0.205 0.837720    
## Foods_3_CA_2.l7   1.666e-02  5.224e-03   3.190 0.001446 ** 
## Foods_1_CA_3.l7   4.204e-03  1.646e-02   0.255 0.798456    
## Foods_2_CA_3.l7   3.441e-03  8.469e-03   0.406 0.684577    
## Foods_3_CA_3.l7  -4.963e-03  3.160e-03  -1.571 0.116424    
## Foods_1_CA_1.l8  -4.501e-03  2.040e-02  -0.221 0.825386    
## Foods_2_CA_1.l8   1.364e-02  1.240e-02   1.100 0.271471    
## Foods_3_CA_1.l8  -7.463e-03  4.172e-03  -1.789 0.073820 .  
## Foods_1_CA_2.l8   1.061e-02  2.685e-02   0.395 0.692802    
## Foods_2_CA_2.l8   4.073e-02  1.941e-02   2.099 0.035968 *  
## Foods_3_CA_2.l8  -2.632e-03  5.267e-03  -0.500 0.617271    
## Foods_1_CA_3.l8   2.128e-02  1.644e-02   1.294 0.195717    
## Foods_2_CA_3.l8   9.544e-03  8.457e-03   1.129 0.259248    
## Foods_3_CA_3.l8  -2.974e-03  3.158e-03  -0.942 0.346359    
## Foods_1_CA_1.l9  -2.211e-02  2.045e-02  -1.081 0.279857    
## Foods_2_CA_1.l9  -1.043e-02  1.239e-02  -0.841 0.400351    
## Foods_3_CA_1.l9   1.070e-02  4.165e-03   2.568 0.010296 *  
## Foods_1_CA_2.l9  -6.278e-02  2.676e-02  -2.346 0.019079 *  
## Foods_2_CA_2.l9   4.138e-03  1.934e-02   0.214 0.830636    
## Foods_3_CA_2.l9  -3.184e-03  5.245e-03  -0.607 0.543950    
## Foods_1_CA_3.l9  -3.455e-02  1.642e-02  -2.104 0.035485 *  
## Foods_2_CA_3.l9  -2.217e-03  8.461e-03  -0.262 0.793345    
## Foods_3_CA_3.l9  -1.296e-05  3.142e-03  -0.004 0.996708    
## Foods_1_CA_1.l10 -1.421e-02  2.047e-02  -0.694 0.487545    
## Foods_2_CA_1.l10  2.298e-02  1.240e-02   1.854 0.063886 .  
## Foods_3_CA_1.l10 -4.952e-03  4.165e-03  -1.189 0.234668    
## Foods_1_CA_2.l10 -1.383e-02  2.677e-02  -0.517 0.605516    
## Foods_2_CA_2.l10  6.384e-03  1.937e-02   0.330 0.741786    
## Foods_3_CA_2.l10 -7.514e-03  5.223e-03  -1.439 0.150413    
## Foods_1_CA_3.l10  9.871e-03  1.634e-02   0.604 0.545787    
## Foods_2_CA_3.l10 -5.447e-03  8.458e-03  -0.644 0.519628    
## Foods_3_CA_3.l10  3.536e-03  3.134e-03   1.128 0.259288    
## Foods_1_CA_1.l11  7.344e-03  2.042e-02   0.360 0.719146    
## Foods_2_CA_1.l11 -1.670e-02  1.238e-02  -1.349 0.177377    
## Foods_3_CA_1.l11  8.131e-03  4.152e-03   1.958 0.050356 .  
## Foods_1_CA_2.l11 -1.225e-02  2.681e-02  -0.457 0.647931    
## Foods_2_CA_2.l11 -1.348e-02  1.938e-02  -0.695 0.486837    
## Foods_3_CA_2.l11  1.218e-05  5.226e-03   0.002 0.998140    
## Foods_1_CA_3.l11 -1.757e-02  1.632e-02  -1.076 0.281918    
## Foods_2_CA_3.l11  2.464e-03  8.440e-03   0.292 0.770396    
## Foods_3_CA_3.l11 -5.137e-04  3.125e-03  -0.164 0.869459    
## Foods_1_CA_1.l12 -2.222e-02  2.037e-02  -1.090 0.275637    
## Foods_2_CA_1.l12 -1.618e-02  1.243e-02  -1.302 0.193053    
## Foods_3_CA_1.l12  3.989e-03  4.164e-03   0.958 0.338102    
## Foods_1_CA_2.l12 -1.388e-02  2.688e-02  -0.517 0.605554    
## Foods_2_CA_2.l12  2.488e-02  1.938e-02   1.284 0.199303    
## Foods_3_CA_2.l12 -1.698e-02  5.224e-03  -3.250 0.001176 ** 
## Foods_1_CA_3.l12  2.910e-03  1.634e-02   0.178 0.858714    
## Foods_2_CA_3.l12  7.037e-03  8.414e-03   0.836 0.403086    
## Foods_3_CA_3.l12  8.687e-04  3.117e-03   0.279 0.780521    
## Foods_1_CA_1.l13  3.038e-02  2.034e-02   1.494 0.135437    
## Foods_2_CA_1.l13  8.659e-03  1.234e-02   0.701 0.483142    
## Foods_3_CA_1.l13 -2.915e-03  4.158e-03  -0.701 0.483407    
## Foods_1_CA_2.l13  8.550e-02  2.675e-02   3.196 0.001418 ** 
## Foods_2_CA_2.l13 -1.802e-03  1.936e-02  -0.093 0.925855    
## Foods_3_CA_2.l13 -8.091e-03  5.239e-03  -1.544 0.122657    
## Foods_1_CA_3.l13  1.549e-03  1.627e-02   0.095 0.924122    
## Foods_2_CA_3.l13  4.823e-04  8.365e-03   0.058 0.954031    
## Foods_3_CA_3.l13  4.930e-05  3.100e-03   0.016 0.987314    
## Foods_1_CA_1.l14 -4.783e-02  1.961e-02  -2.439 0.014802 *  
## Foods_2_CA_1.l14  7.682e-03  1.179e-02   0.652 0.514788    
## Foods_3_CA_1.l14 -2.046e-03  4.000e-03  -0.511 0.609077    
## Foods_1_CA_2.l14  1.589e-01  2.590e-02   6.137 1.03e-09 ***
## Foods_2_CA_2.l14 -1.112e-02  1.893e-02  -0.587 0.557000    
## Foods_3_CA_2.l14  1.706e-02  5.026e-03   3.393 0.000705 ***
## Foods_1_CA_3.l14  1.106e-02  1.550e-02   0.714 0.475402    
## Foods_2_CA_3.l14 -7.169e-03  7.786e-03  -0.921 0.357361    
## Foods_3_CA_3.l14 -1.485e-03  2.922e-03  -0.508 0.611224    
## const             8.084e+00  5.806e+00   1.392 0.163975    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 17.36 on 1828 degrees of freedom
## Multiple R-Squared: 0.9087,  Adjusted R-squared: 0.9024 
## F-statistic: 144.4 on 126 and 1828 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Foods_2_CA_2: 
## ============================================= 
## Foods_2_CA_2 = Foods_1_CA_1.l1 + Foods_2_CA_1.l1 + Foods_3_CA_1.l1 + Foods_1_CA_2.l1 + Foods_2_CA_2.l1 + Foods_3_CA_2.l1 + Foods_1_CA_3.l1 + Foods_2_CA_3.l1 + Foods_3_CA_3.l1 + Foods_1_CA_1.l2 + Foods_2_CA_1.l2 + Foods_3_CA_1.l2 + Foods_1_CA_2.l2 + Foods_2_CA_2.l2 + Foods_3_CA_2.l2 + Foods_1_CA_3.l2 + Foods_2_CA_3.l2 + Foods_3_CA_3.l2 + Foods_1_CA_1.l3 + Foods_2_CA_1.l3 + Foods_3_CA_1.l3 + Foods_1_CA_2.l3 + Foods_2_CA_2.l3 + Foods_3_CA_2.l3 + Foods_1_CA_3.l3 + Foods_2_CA_3.l3 + Foods_3_CA_3.l3 + Foods_1_CA_1.l4 + Foods_2_CA_1.l4 + Foods_3_CA_1.l4 + Foods_1_CA_2.l4 + Foods_2_CA_2.l4 + Foods_3_CA_2.l4 + Foods_1_CA_3.l4 + Foods_2_CA_3.l4 + Foods_3_CA_3.l4 + Foods_1_CA_1.l5 + Foods_2_CA_1.l5 + Foods_3_CA_1.l5 + Foods_1_CA_2.l5 + Foods_2_CA_2.l5 + Foods_3_CA_2.l5 + Foods_1_CA_3.l5 + Foods_2_CA_3.l5 + Foods_3_CA_3.l5 + Foods_1_CA_1.l6 + Foods_2_CA_1.l6 + Foods_3_CA_1.l6 + Foods_1_CA_2.l6 + Foods_2_CA_2.l6 + Foods_3_CA_2.l6 + Foods_1_CA_3.l6 + Foods_2_CA_3.l6 + Foods_3_CA_3.l6 + Foods_1_CA_1.l7 + Foods_2_CA_1.l7 + Foods_3_CA_1.l7 + Foods_1_CA_2.l7 + Foods_2_CA_2.l7 + Foods_3_CA_2.l7 + Foods_1_CA_3.l7 + Foods_2_CA_3.l7 + Foods_3_CA_3.l7 + Foods_1_CA_1.l8 + Foods_2_CA_1.l8 + Foods_3_CA_1.l8 + Foods_1_CA_2.l8 + Foods_2_CA_2.l8 + Foods_3_CA_2.l8 + Foods_1_CA_3.l8 + Foods_2_CA_3.l8 + Foods_3_CA_3.l8 + Foods_1_CA_1.l9 + Foods_2_CA_1.l9 + Foods_3_CA_1.l9 + Foods_1_CA_2.l9 + Foods_2_CA_2.l9 + Foods_3_CA_2.l9 + Foods_1_CA_3.l9 + Foods_2_CA_3.l9 + Foods_3_CA_3.l9 + Foods_1_CA_1.l10 + Foods_2_CA_1.l10 + Foods_3_CA_1.l10 + Foods_1_CA_2.l10 + Foods_2_CA_2.l10 + Foods_3_CA_2.l10 + Foods_1_CA_3.l10 + Foods_2_CA_3.l10 + Foods_3_CA_3.l10 + Foods_1_CA_1.l11 + Foods_2_CA_1.l11 + Foods_3_CA_1.l11 + Foods_1_CA_2.l11 + Foods_2_CA_2.l11 + Foods_3_CA_2.l11 + Foods_1_CA_3.l11 + Foods_2_CA_3.l11 + Foods_3_CA_3.l11 + Foods_1_CA_1.l12 + Foods_2_CA_1.l12 + Foods_3_CA_1.l12 + Foods_1_CA_2.l12 + Foods_2_CA_2.l12 + Foods_3_CA_2.l12 + Foods_1_CA_3.l12 + Foods_2_CA_3.l12 + Foods_3_CA_3.l12 + Foods_1_CA_1.l13 + Foods_2_CA_1.l13 + Foods_3_CA_1.l13 + Foods_1_CA_2.l13 + Foods_2_CA_2.l13 + Foods_3_CA_2.l13 + Foods_1_CA_3.l13 + Foods_2_CA_3.l13 + Foods_3_CA_3.l13 + Foods_1_CA_1.l14 + Foods_2_CA_1.l14 + Foods_3_CA_1.l14 + Foods_1_CA_2.l14 + Foods_2_CA_2.l14 + Foods_3_CA_2.l14 + Foods_1_CA_3.l14 + Foods_2_CA_3.l14 + Foods_3_CA_3.l14 + const 
## 
##                    Estimate Std. Error t value Pr(>|t|)    
## Foods_1_CA_1.l1   0.0419082  0.0351819   1.191 0.233736    
## Foods_2_CA_1.l1   0.0596714  0.0212703   2.805 0.005079 ** 
## Foods_3_CA_1.l1  -0.0089846  0.0071095  -1.264 0.206479    
## Foods_1_CA_2.l1  -0.0737529  0.0464166  -1.589 0.112248    
## Foods_2_CA_2.l1   0.2946969  0.0340809   8.647  < 2e-16 ***
## Foods_3_CA_2.l1   0.0041833  0.0090190   0.464 0.642822    
## Foods_1_CA_3.l1  -0.0426719  0.0287949  -1.482 0.138533    
## Foods_2_CA_3.l1   0.0191880  0.0141206   1.359 0.174357    
## Foods_3_CA_3.l1  -0.0068096  0.0053658  -1.269 0.204577    
## Foods_1_CA_1.l2  -0.0289975  0.0366269  -0.792 0.428638    
## Foods_2_CA_1.l2  -0.0202051  0.0221285  -0.913 0.361320    
## Foods_3_CA_1.l2  -0.0008876  0.0074041  -0.120 0.904592    
## Foods_1_CA_2.l2  -0.0171376  0.0479392  -0.357 0.720769    
## Foods_2_CA_2.l2   0.0838410  0.0349869   2.396 0.016659 *  
## Foods_3_CA_2.l2  -0.0248835  0.0092893  -2.679 0.007457 ** 
## Foods_1_CA_3.l2   0.0288388  0.0298044   0.968 0.333371    
## Foods_2_CA_3.l2  -0.0062941  0.0150401  -0.418 0.675643    
## Foods_3_CA_3.l2   0.0082717  0.0056237   1.471 0.141498    
## Foods_1_CA_1.l3  -0.0284603  0.0366593  -0.776 0.437645    
## Foods_2_CA_1.l3  -0.0020033  0.0221964  -0.090 0.928096    
## Foods_3_CA_1.l3  -0.0061156  0.0074140  -0.825 0.409550    
## Foods_1_CA_2.l3   0.0346365  0.0478983   0.723 0.469694    
## Foods_2_CA_2.l3   0.0133430  0.0351586   0.380 0.704354    
## Foods_3_CA_2.l3  -0.0039090  0.0093613  -0.418 0.676308    
## Foods_1_CA_3.l3   0.0229104  0.0297559   0.770 0.441432    
## Foods_2_CA_3.l3  -0.0006341  0.0151635  -0.042 0.966649    
## Foods_3_CA_3.l3   0.0061040  0.0056409   1.082 0.279354    
## Foods_1_CA_1.l4  -0.0169615  0.0366632  -0.463 0.643684    
## Foods_2_CA_1.l4  -0.0058287  0.0222180  -0.262 0.793088    
## Foods_3_CA_1.l4   0.0013599  0.0074043   0.184 0.854293    
## Foods_1_CA_2.l4  -0.0192771  0.0478670  -0.403 0.687199    
## Foods_2_CA_2.l4  -0.0087777  0.0350393  -0.251 0.802220    
## Foods_3_CA_2.l4   0.0128986  0.0093846   1.374 0.169473    
## Foods_1_CA_3.l4   0.0032373  0.0296710   0.109 0.913129    
## Foods_2_CA_3.l4   0.0160630  0.0151528   1.060 0.289251    
## Foods_3_CA_3.l4  -0.0042551  0.0056395  -0.755 0.450633    
## Foods_1_CA_1.l5   0.0398882  0.0367727   1.085 0.278188    
## Foods_2_CA_1.l5   0.0399429  0.0222731   1.793 0.073087 .  
## Foods_3_CA_1.l5  -0.0290915  0.0074123  -3.925    9e-05 ***
## Foods_1_CA_2.l5   0.0111474  0.0482490   0.231 0.817310    
## Foods_2_CA_2.l5   0.0096431  0.0350688   0.275 0.783365    
## Foods_3_CA_2.l5   0.0005089  0.0094115   0.054 0.956884    
## Foods_1_CA_3.l5   0.0081907  0.0296731   0.276 0.782554    
## Foods_2_CA_3.l5   0.0051500  0.0151848   0.339 0.734531    
## Foods_3_CA_3.l5   0.0101205  0.0056548   1.790 0.073663 .  
## Foods_1_CA_1.l6   0.0375413  0.0366828   1.023 0.306252    
## Foods_2_CA_1.l6   0.0007276  0.0222998   0.033 0.973975    
## Foods_3_CA_1.l6   0.0007341  0.0074399   0.099 0.921407    
## Foods_1_CA_2.l6   0.1245609  0.0481571   2.587 0.009771 ** 
## Foods_2_CA_2.l6   0.0463556  0.0349221   1.327 0.184542    
## Foods_3_CA_2.l6  -0.0009436  0.0094164  -0.100 0.920187    
## Foods_1_CA_3.l6  -0.0007133  0.0297454  -0.024 0.980871    
## Foods_2_CA_3.l6  -0.0253801  0.0152235  -1.667 0.095653 .  
## Foods_3_CA_3.l6   0.0006396  0.0056676   0.113 0.910164    
## Foods_1_CA_1.l7  -0.0121639  0.0365655  -0.333 0.739429    
## Foods_2_CA_1.l7  -0.0260712  0.0223519  -1.166 0.243605    
## Foods_3_CA_1.l7   0.0193042  0.0074657   2.586 0.009794 ** 
## Foods_1_CA_2.l7   0.0402854  0.0485165   0.830 0.406453    
## Foods_2_CA_2.l7   0.1141816  0.0349961   3.263 0.001124 ** 
## Foods_3_CA_2.l7   0.0230393  0.0094045   2.450 0.014387 *  
## Foods_1_CA_3.l7  -0.0019918  0.0296402  -0.067 0.946430    
## Foods_2_CA_3.l7   0.0310886  0.0152469   2.039 0.041592 *  
## Foods_3_CA_3.l7  -0.0099149  0.0056891  -1.743 0.081540 .  
## Foods_1_CA_1.l8   0.0132651  0.0367264   0.361 0.718001    
## Foods_2_CA_1.l8   0.0052702  0.0223240   0.236 0.813398    
## Foods_3_CA_1.l8  -0.0057156  0.0075121  -0.761 0.446843    
## Foods_1_CA_2.l8  -0.0568420  0.0483417  -1.176 0.239814    
## Foods_2_CA_2.l8  -0.0081518  0.0349379  -0.233 0.815537    
## Foods_3_CA_2.l8  -0.0010052  0.0094819  -0.106 0.915580    
## Foods_1_CA_3.l8   0.0099301  0.0295953   0.336 0.737264    
## Foods_2_CA_3.l8   0.0212793  0.0152262   1.398 0.162419    
## Foods_3_CA_3.l8  -0.0093960  0.0056848  -1.653 0.098538 .  
## Foods_1_CA_1.l9  -0.0517547  0.0368257  -1.405 0.160073    
## Foods_2_CA_1.l9  -0.0048696  0.0223130  -0.218 0.827265    
## Foods_3_CA_1.l9   0.0074078  0.0074989   0.988 0.323360    
## Foods_1_CA_2.l9   0.0445875  0.0481759   0.926 0.354821    
## Foods_2_CA_2.l9  -0.0296432  0.0348255  -0.851 0.394774    
## Foods_3_CA_2.l9   0.0013908  0.0094432   0.147 0.882923    
## Foods_1_CA_3.l9  -0.0770434  0.0295577  -2.607 0.009220 ** 
## Foods_2_CA_3.l9  -0.0276257  0.0152333  -1.814 0.069918 .  
## Foods_3_CA_3.l9   0.0052477  0.0056564   0.928 0.353665    
## Foods_1_CA_1.l10 -0.0039831  0.0368484  -0.108 0.913933    
## Foods_2_CA_1.l10 -0.0258229  0.0223185  -1.157 0.247415    
## Foods_3_CA_1.l10  0.0049998  0.0074995   0.667 0.505059    
## Foods_1_CA_2.l10  0.0675697  0.0482054   1.402 0.161173    
## Foods_2_CA_2.l10  0.0615340  0.0348766   1.764 0.077842 .  
## Foods_3_CA_2.l10 -0.0142050  0.0094031  -1.511 0.131043    
## Foods_1_CA_3.l10  0.0008148  0.0294134   0.028 0.977903    
## Foods_2_CA_3.l10  0.0022029  0.0152280   0.145 0.884997    
## Foods_3_CA_3.l10  0.0069801  0.0056421   1.237 0.216187    
## Foods_1_CA_1.l11  0.0148547  0.0367616   0.404 0.686199    
## Foods_2_CA_1.l11  0.0655496  0.0222813   2.942 0.003303 ** 
## Foods_3_CA_1.l11 -0.0167648  0.0074753  -2.243 0.025037 *  
## Foods_1_CA_2.l11 -0.0707902  0.0482754  -1.466 0.142716    
## Foods_2_CA_2.l11  0.0354679  0.0348903   1.017 0.309499    
## Foods_3_CA_2.l11 -0.0093660  0.0094090  -0.995 0.319658    
## Foods_1_CA_3.l11  0.0400331  0.0293886   1.362 0.173303    
## Foods_2_CA_3.l11 -0.0061431  0.0151955  -0.404 0.686063    
## Foods_3_CA_3.l11 -0.0029649  0.0056269  -0.527 0.598319    
## Foods_1_CA_1.l12 -0.0108379  0.0366814  -0.295 0.767677    
## Foods_2_CA_1.l12 -0.0339618  0.0223732  -1.518 0.129196    
## Foods_3_CA_1.l12  0.0040889  0.0074962   0.545 0.585501    
## Foods_1_CA_2.l12 -0.0446772  0.0483918  -0.923 0.356004    
## Foods_2_CA_2.l12  0.0222814  0.0348876   0.639 0.523122    
## Foods_3_CA_2.l12  0.0020568  0.0094052   0.219 0.826914    
## Foods_1_CA_3.l12 -0.0276812  0.0294247  -0.941 0.346959    
## Foods_2_CA_3.l12 -0.0067517  0.0151491  -0.446 0.655878    
## Foods_3_CA_3.l12  0.0030423  0.0056120   0.542 0.587815    
## Foods_1_CA_1.l13 -0.0285168  0.0366183  -0.779 0.436223    
## Foods_2_CA_1.l13 -0.0036744  0.0222257  -0.165 0.868708    
## Foods_3_CA_1.l13  0.0048139  0.0074862   0.643 0.520277    
## Foods_1_CA_2.l13  0.1243805  0.0481672   2.582 0.009893 ** 
## Foods_2_CA_2.l13  0.0421363  0.0348481   1.209 0.226765    
## Foods_3_CA_2.l13 -0.0025691  0.0094320  -0.272 0.785361    
## Foods_1_CA_3.l13  0.0187443  0.0292859   0.640 0.522223    
## Foods_2_CA_3.l13 -0.0036144  0.0150606  -0.240 0.810367    
## Foods_3_CA_3.l13  0.0022898  0.0055817   0.410 0.681687    
## Foods_1_CA_1.l14 -0.0150274  0.0352999  -0.426 0.670371    
## Foods_2_CA_1.l14  0.0164409  0.0212288   0.774 0.438756    
## Foods_3_CA_1.l14  0.0069476  0.0072020   0.965 0.334832    
## Foods_1_CA_2.l14  0.0198466  0.0466340   0.426 0.670463    
## Foods_2_CA_2.l14  0.0239119  0.0340873   0.701 0.483088    
## Foods_3_CA_2.l14  0.0277452  0.0090494   3.066 0.002201 ** 
## Foods_1_CA_3.l14  0.0108751  0.0279050   0.390 0.696789    
## Foods_2_CA_3.l14 -0.0091073  0.0140188  -0.650 0.516003    
## Foods_3_CA_3.l14 -0.0105143  0.0052603  -1.999 0.045775 *  
## const            40.2364128 10.4530968   3.849 0.000123 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 31.26 on 1828 degrees of freedom
## Multiple R-Squared: 0.7513,  Adjusted R-squared: 0.7342 
## F-statistic: 43.83 on 126 and 1828 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Foods_3_CA_2: 
## ============================================= 
## Foods_3_CA_2 = Foods_1_CA_1.l1 + Foods_2_CA_1.l1 + Foods_3_CA_1.l1 + Foods_1_CA_2.l1 + Foods_2_CA_2.l1 + Foods_3_CA_2.l1 + Foods_1_CA_3.l1 + Foods_2_CA_3.l1 + Foods_3_CA_3.l1 + Foods_1_CA_1.l2 + Foods_2_CA_1.l2 + Foods_3_CA_1.l2 + Foods_1_CA_2.l2 + Foods_2_CA_2.l2 + Foods_3_CA_2.l2 + Foods_1_CA_3.l2 + Foods_2_CA_3.l2 + Foods_3_CA_3.l2 + Foods_1_CA_1.l3 + Foods_2_CA_1.l3 + Foods_3_CA_1.l3 + Foods_1_CA_2.l3 + Foods_2_CA_2.l3 + Foods_3_CA_2.l3 + Foods_1_CA_3.l3 + Foods_2_CA_3.l3 + Foods_3_CA_3.l3 + Foods_1_CA_1.l4 + Foods_2_CA_1.l4 + Foods_3_CA_1.l4 + Foods_1_CA_2.l4 + Foods_2_CA_2.l4 + Foods_3_CA_2.l4 + Foods_1_CA_3.l4 + Foods_2_CA_3.l4 + Foods_3_CA_3.l4 + Foods_1_CA_1.l5 + Foods_2_CA_1.l5 + Foods_3_CA_1.l5 + Foods_1_CA_2.l5 + Foods_2_CA_2.l5 + Foods_3_CA_2.l5 + Foods_1_CA_3.l5 + Foods_2_CA_3.l5 + Foods_3_CA_3.l5 + Foods_1_CA_1.l6 + Foods_2_CA_1.l6 + Foods_3_CA_1.l6 + Foods_1_CA_2.l6 + Foods_2_CA_2.l6 + Foods_3_CA_2.l6 + Foods_1_CA_3.l6 + Foods_2_CA_3.l6 + Foods_3_CA_3.l6 + Foods_1_CA_1.l7 + Foods_2_CA_1.l7 + Foods_3_CA_1.l7 + Foods_1_CA_2.l7 + Foods_2_CA_2.l7 + Foods_3_CA_2.l7 + Foods_1_CA_3.l7 + Foods_2_CA_3.l7 + Foods_3_CA_3.l7 + Foods_1_CA_1.l8 + Foods_2_CA_1.l8 + Foods_3_CA_1.l8 + Foods_1_CA_2.l8 + Foods_2_CA_2.l8 + Foods_3_CA_2.l8 + Foods_1_CA_3.l8 + Foods_2_CA_3.l8 + Foods_3_CA_3.l8 + Foods_1_CA_1.l9 + Foods_2_CA_1.l9 + Foods_3_CA_1.l9 + Foods_1_CA_2.l9 + Foods_2_CA_2.l9 + Foods_3_CA_2.l9 + Foods_1_CA_3.l9 + Foods_2_CA_3.l9 + Foods_3_CA_3.l9 + Foods_1_CA_1.l10 + Foods_2_CA_1.l10 + Foods_3_CA_1.l10 + Foods_1_CA_2.l10 + Foods_2_CA_2.l10 + Foods_3_CA_2.l10 + Foods_1_CA_3.l10 + Foods_2_CA_3.l10 + Foods_3_CA_3.l10 + Foods_1_CA_1.l11 + Foods_2_CA_1.l11 + Foods_3_CA_1.l11 + Foods_1_CA_2.l11 + Foods_2_CA_2.l11 + Foods_3_CA_2.l11 + Foods_1_CA_3.l11 + Foods_2_CA_3.l11 + Foods_3_CA_3.l11 + Foods_1_CA_1.l12 + Foods_2_CA_1.l12 + Foods_3_CA_1.l12 + Foods_1_CA_2.l12 + Foods_2_CA_2.l12 + Foods_3_CA_2.l12 + Foods_1_CA_3.l12 + Foods_2_CA_3.l12 + Foods_3_CA_3.l12 + Foods_1_CA_1.l13 + Foods_2_CA_1.l13 + Foods_3_CA_1.l13 + Foods_1_CA_2.l13 + Foods_2_CA_2.l13 + Foods_3_CA_2.l13 + Foods_1_CA_3.l13 + Foods_2_CA_3.l13 + Foods_3_CA_3.l13 + Foods_1_CA_1.l14 + Foods_2_CA_1.l14 + Foods_3_CA_1.l14 + Foods_1_CA_2.l14 + Foods_2_CA_2.l14 + Foods_3_CA_2.l14 + Foods_1_CA_3.l14 + Foods_2_CA_3.l14 + Foods_3_CA_3.l14 + const 
## 
##                    Estimate Std. Error t value Pr(>|t|)    
## Foods_1_CA_1.l1  -4.013e-03  1.558e-01  -0.026 0.979453    
## Foods_2_CA_1.l1   1.084e-01  9.419e-02   1.151 0.250014    
## Foods_3_CA_1.l1  -2.993e-02  3.148e-02  -0.951 0.341909    
## Foods_1_CA_2.l1  -1.913e-01  2.055e-01  -0.931 0.352085    
## Foods_2_CA_2.l1   3.673e-01  1.509e-01   2.433 0.015051 *  
## Foods_3_CA_2.l1   2.698e-01  3.994e-02   6.756 1.90e-11 ***
## Foods_1_CA_3.l1  -1.071e-01  1.275e-01  -0.840 0.401106    
## Foods_2_CA_3.l1  -8.979e-02  6.253e-02  -1.436 0.151195    
## Foods_3_CA_3.l1   7.900e-03  2.376e-02   0.332 0.739562    
## Foods_1_CA_1.l2  -8.144e-02  1.622e-01  -0.502 0.615645    
## Foods_2_CA_1.l2  -1.986e-02  9.799e-02  -0.203 0.839379    
## Foods_3_CA_1.l2  -3.234e-02  3.279e-02  -0.986 0.324141    
## Foods_1_CA_2.l2  -1.374e-01  2.123e-01  -0.647 0.517666    
## Foods_2_CA_2.l2  -2.165e-02  1.549e-01  -0.140 0.888902    
## Foods_3_CA_2.l2  -1.673e-02  4.114e-02  -0.407 0.684324    
## Foods_1_CA_3.l2   1.032e-01  1.320e-01   0.782 0.434147    
## Foods_2_CA_3.l2  -2.643e-02  6.660e-02  -0.397 0.691493    
## Foods_3_CA_3.l2   5.134e-02  2.490e-02   2.061 0.039397 *  
## Foods_1_CA_1.l3  -3.832e-02  1.623e-01  -0.236 0.813418    
## Foods_2_CA_1.l3  -2.112e-03  9.829e-02  -0.021 0.982864    
## Foods_3_CA_1.l3  -4.012e-02  3.283e-02  -1.222 0.221881    
## Foods_1_CA_2.l3   2.500e-01  2.121e-01   1.179 0.238716    
## Foods_2_CA_2.l3  -2.274e-01  1.557e-01  -1.461 0.144314    
## Foods_3_CA_2.l3   6.378e-02  4.145e-02   1.539 0.124071    
## Foods_1_CA_3.l3   1.576e-01  1.318e-01   1.196 0.231949    
## Foods_2_CA_3.l3   3.445e-02  6.715e-02   0.513 0.607994    
## Foods_3_CA_3.l3   1.095e-02  2.498e-02   0.438 0.661245    
## Foods_1_CA_1.l4  -6.021e-02  1.624e-01  -0.371 0.710792    
## Foods_2_CA_1.l4  -4.357e-02  9.839e-02  -0.443 0.657947    
## Foods_3_CA_1.l4   9.142e-03  3.279e-02   0.279 0.780425    
## Foods_1_CA_2.l4  -7.425e-02  2.120e-01  -0.350 0.726182    
## Foods_2_CA_2.l4  -2.555e-01  1.552e-01  -1.646 0.099842 .  
## Foods_3_CA_2.l4   8.464e-02  4.156e-02   2.037 0.041828 *  
## Foods_1_CA_3.l4  -1.254e-01  1.314e-01  -0.955 0.339881    
## Foods_2_CA_3.l4   4.723e-02  6.710e-02   0.704 0.481581    
## Foods_3_CA_3.l4  -3.317e-03  2.497e-02  -0.133 0.894349    
## Foods_1_CA_1.l5   9.204e-02  1.628e-01   0.565 0.571996    
## Foods_2_CA_1.l5   2.743e-01  9.863e-02   2.781 0.005474 ** 
## Foods_3_CA_1.l5  -1.598e-01  3.282e-02  -4.869 1.22e-06 ***
## Foods_1_CA_2.l5   7.683e-02  2.137e-01   0.360 0.719211    
## Foods_2_CA_2.l5  -8.550e-02  1.553e-01  -0.551 0.581994    
## Foods_3_CA_2.l5   2.153e-02  4.168e-02   0.516 0.605579    
## Foods_1_CA_3.l5   1.377e-02  1.314e-01   0.105 0.916550    
## Foods_2_CA_3.l5  -1.084e-01  6.724e-02  -1.613 0.107016    
## Foods_3_CA_3.l5   7.472e-02  2.504e-02   2.984 0.002883 ** 
## Foods_1_CA_1.l6   1.969e-01  1.624e-01   1.212 0.225698    
## Foods_2_CA_1.l6  -6.305e-03  9.875e-02  -0.064 0.949099    
## Foods_3_CA_1.l6   4.614e-02  3.295e-02   1.401 0.161507    
## Foods_1_CA_2.l6   2.341e-01  2.133e-01   1.098 0.272539    
## Foods_2_CA_2.l6  -1.147e-01  1.546e-01  -0.742 0.458197    
## Foods_3_CA_2.l6   4.335e-02  4.170e-02   1.040 0.298655    
## Foods_1_CA_3.l6   1.283e-01  1.317e-01   0.974 0.330064    
## Foods_2_CA_3.l6  -2.350e-02  6.741e-02  -0.349 0.727479    
## Foods_3_CA_3.l6  -3.497e-02  2.510e-02  -1.393 0.163718    
## Foods_1_CA_1.l7  -3.690e-01  1.619e-01  -2.279 0.022785 *  
## Foods_2_CA_1.l7  -5.257e-02  9.898e-02  -0.531 0.595404    
## Foods_3_CA_1.l7   1.188e-01  3.306e-02   3.594 0.000335 ***
## Foods_1_CA_2.l7   4.336e-01  2.148e-01   2.018 0.043718 *  
## Foods_2_CA_2.l7  -1.341e-01  1.550e-01  -0.865 0.387085    
## Foods_3_CA_2.l7   2.587e-01  4.165e-02   6.211 6.50e-10 ***
## Foods_1_CA_3.l7   9.075e-02  1.313e-01   0.691 0.489405    
## Foods_2_CA_3.l7   6.837e-02  6.752e-02   1.013 0.311347    
## Foods_3_CA_3.l7  -4.535e-02  2.519e-02  -1.800 0.071990 .  
## Foods_1_CA_1.l8   2.495e-01  1.626e-01   1.534 0.125109    
## Foods_2_CA_1.l8  -2.181e-02  9.886e-02  -0.221 0.825385    
## Foods_3_CA_1.l8  -4.535e-03  3.327e-02  -0.136 0.891585    
## Foods_1_CA_2.l8  -1.576e-01  2.141e-01  -0.736 0.461682    
## Foods_2_CA_2.l8  -9.036e-02  1.547e-01  -0.584 0.559266    
## Foods_3_CA_2.l8   1.933e-02  4.199e-02   0.460 0.645316    
## Foods_1_CA_3.l8  -1.641e-01  1.311e-01  -1.252 0.210706    
## Foods_2_CA_3.l8   1.891e-01  6.743e-02   2.805 0.005087 ** 
## Foods_3_CA_3.l8  -6.253e-02  2.517e-02  -2.484 0.013088 *  
## Foods_1_CA_1.l9  -2.340e-01  1.631e-01  -1.435 0.151426    
## Foods_2_CA_1.l9   4.689e-02  9.881e-02   0.475 0.635139    
## Foods_3_CA_1.l9  -5.387e-03  3.321e-02  -0.162 0.871149    
## Foods_1_CA_2.l9   8.434e-02  2.133e-01   0.395 0.692645    
## Foods_2_CA_2.l9  -1.741e-01  1.542e-01  -1.129 0.258967    
## Foods_3_CA_2.l9  -1.143e-02  4.182e-02  -0.273 0.784593    
## Foods_1_CA_3.l9  -9.000e-02  1.309e-01  -0.688 0.491777    
## Foods_2_CA_3.l9  -1.089e-01  6.746e-02  -1.615 0.106531    
## Foods_3_CA_3.l9   1.415e-02  2.505e-02   0.565 0.572179    
## Foods_1_CA_1.l10 -2.047e-01  1.632e-01  -1.254 0.209868    
## Foods_2_CA_1.l10 -2.036e-02  9.883e-02  -0.206 0.836806    
## Foods_3_CA_1.l10  6.871e-03  3.321e-02   0.207 0.836121    
## Foods_1_CA_2.l10  1.147e-01  2.135e-01   0.537 0.591146    
## Foods_2_CA_2.l10  2.645e-01  1.544e-01   1.713 0.086913 .  
## Foods_3_CA_2.l10 -5.892e-02  4.164e-02  -1.415 0.157236    
## Foods_1_CA_3.l10 -5.254e-02  1.303e-01  -0.403 0.686741    
## Foods_2_CA_3.l10 -3.482e-02  6.743e-02  -0.516 0.605621    
## Foods_3_CA_3.l10  3.666e-02  2.498e-02   1.467 0.142492    
## Foods_1_CA_1.l11  6.173e-02  1.628e-01   0.379 0.704604    
## Foods_2_CA_1.l11  1.136e-01  9.867e-02   1.152 0.249668    
## Foods_3_CA_1.l11 -3.437e-02  3.310e-02  -1.038 0.299326    
## Foods_1_CA_2.l11 -2.045e-01  2.138e-01  -0.956 0.338978    
## Foods_2_CA_2.l11 -3.971e-02  1.545e-01  -0.257 0.797197    
## Foods_3_CA_2.l11  2.383e-04  4.167e-02   0.006 0.995438    
## Foods_1_CA_3.l11  1.378e-01  1.301e-01   1.058 0.289968    
## Foods_2_CA_3.l11  4.250e-02  6.729e-02   0.632 0.527762    
## Foods_3_CA_3.l11 -1.488e-02  2.492e-02  -0.597 0.550393    
## Foods_1_CA_1.l12 -3.316e-02  1.624e-01  -0.204 0.838249    
## Foods_2_CA_1.l12 -2.074e-01  9.908e-02  -2.093 0.036486 *  
## Foods_3_CA_1.l12  3.752e-02  3.320e-02   1.130 0.258485    
## Foods_1_CA_2.l12 -3.885e-02  2.143e-01  -0.181 0.856171    
## Foods_2_CA_2.l12  2.169e-01  1.545e-01   1.404 0.160422    
## Foods_3_CA_2.l12 -4.000e-02  4.165e-02  -0.960 0.337024    
## Foods_1_CA_3.l12 -8.326e-02  1.303e-01  -0.639 0.522903    
## Foods_2_CA_3.l12  1.533e-02  6.708e-02   0.228 0.819317    
## Foods_3_CA_3.l12  1.230e-05  2.485e-02   0.000 0.999605    
## Foods_1_CA_1.l13  9.947e-02  1.622e-01   0.613 0.539685    
## Foods_2_CA_1.l13 -1.167e-01  9.842e-02  -1.185 0.236066    
## Foods_3_CA_1.l13  3.861e-02  3.315e-02   1.165 0.244253    
## Foods_1_CA_2.l13  4.001e-01  2.133e-01   1.876 0.060859 .  
## Foods_2_CA_2.l13 -1.340e-01  1.543e-01  -0.868 0.385271    
## Foods_3_CA_2.l13  2.223e-02  4.177e-02   0.532 0.594658    
## Foods_1_CA_3.l13  6.036e-02  1.297e-01   0.465 0.641692    
## Foods_2_CA_3.l13  1.037e-03  6.669e-02   0.016 0.987591    
## Foods_3_CA_3.l13  2.370e-02  2.472e-02   0.959 0.337771    
## Foods_1_CA_1.l14 -1.031e-01  1.563e-01  -0.660 0.509527    
## Foods_2_CA_1.l14  1.174e-01  9.401e-02   1.249 0.211700    
## Foods_3_CA_1.l14  3.816e-02  3.189e-02   1.197 0.231655    
## Foods_1_CA_2.l14  1.504e-02  2.065e-01   0.073 0.941951    
## Foods_2_CA_2.l14 -1.238e-01  1.509e-01  -0.820 0.412176    
## Foods_3_CA_2.l14  2.732e-01  4.007e-02   6.818 1.25e-11 ***
## Foods_1_CA_3.l14 -3.748e-02  1.236e-01  -0.303 0.761671    
## Foods_2_CA_3.l14  1.156e-02  6.208e-02   0.186 0.852362    
## Foods_3_CA_3.l14 -7.004e-02  2.329e-02  -3.007 0.002678 ** 
## const             1.606e+02  4.629e+01   3.470 0.000532 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 138.4 on 1828 degrees of freedom
## Multiple R-Squared: 0.8341,  Adjusted R-squared: 0.8227 
## F-statistic: 72.94 on 126 and 1828 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Foods_1_CA_3: 
## ============================================= 
## Foods_1_CA_3 = Foods_1_CA_1.l1 + Foods_2_CA_1.l1 + Foods_3_CA_1.l1 + Foods_1_CA_2.l1 + Foods_2_CA_2.l1 + Foods_3_CA_2.l1 + Foods_1_CA_3.l1 + Foods_2_CA_3.l1 + Foods_3_CA_3.l1 + Foods_1_CA_1.l2 + Foods_2_CA_1.l2 + Foods_3_CA_1.l2 + Foods_1_CA_2.l2 + Foods_2_CA_2.l2 + Foods_3_CA_2.l2 + Foods_1_CA_3.l2 + Foods_2_CA_3.l2 + Foods_3_CA_3.l2 + Foods_1_CA_1.l3 + Foods_2_CA_1.l3 + Foods_3_CA_1.l3 + Foods_1_CA_2.l3 + Foods_2_CA_2.l3 + Foods_3_CA_2.l3 + Foods_1_CA_3.l3 + Foods_2_CA_3.l3 + Foods_3_CA_3.l3 + Foods_1_CA_1.l4 + Foods_2_CA_1.l4 + Foods_3_CA_1.l4 + Foods_1_CA_2.l4 + Foods_2_CA_2.l4 + Foods_3_CA_2.l4 + Foods_1_CA_3.l4 + Foods_2_CA_3.l4 + Foods_3_CA_3.l4 + Foods_1_CA_1.l5 + Foods_2_CA_1.l5 + Foods_3_CA_1.l5 + Foods_1_CA_2.l5 + Foods_2_CA_2.l5 + Foods_3_CA_2.l5 + Foods_1_CA_3.l5 + Foods_2_CA_3.l5 + Foods_3_CA_3.l5 + Foods_1_CA_1.l6 + Foods_2_CA_1.l6 + Foods_3_CA_1.l6 + Foods_1_CA_2.l6 + Foods_2_CA_2.l6 + Foods_3_CA_2.l6 + Foods_1_CA_3.l6 + Foods_2_CA_3.l6 + Foods_3_CA_3.l6 + Foods_1_CA_1.l7 + Foods_2_CA_1.l7 + Foods_3_CA_1.l7 + Foods_1_CA_2.l7 + Foods_2_CA_2.l7 + Foods_3_CA_2.l7 + Foods_1_CA_3.l7 + Foods_2_CA_3.l7 + Foods_3_CA_3.l7 + Foods_1_CA_1.l8 + Foods_2_CA_1.l8 + Foods_3_CA_1.l8 + Foods_1_CA_2.l8 + Foods_2_CA_2.l8 + Foods_3_CA_2.l8 + Foods_1_CA_3.l8 + Foods_2_CA_3.l8 + Foods_3_CA_3.l8 + Foods_1_CA_1.l9 + Foods_2_CA_1.l9 + Foods_3_CA_1.l9 + Foods_1_CA_2.l9 + Foods_2_CA_2.l9 + Foods_3_CA_2.l9 + Foods_1_CA_3.l9 + Foods_2_CA_3.l9 + Foods_3_CA_3.l9 + Foods_1_CA_1.l10 + Foods_2_CA_1.l10 + Foods_3_CA_1.l10 + Foods_1_CA_2.l10 + Foods_2_CA_2.l10 + Foods_3_CA_2.l10 + Foods_1_CA_3.l10 + Foods_2_CA_3.l10 + Foods_3_CA_3.l10 + Foods_1_CA_1.l11 + Foods_2_CA_1.l11 + Foods_3_CA_1.l11 + Foods_1_CA_2.l11 + Foods_2_CA_2.l11 + Foods_3_CA_2.l11 + Foods_1_CA_3.l11 + Foods_2_CA_3.l11 + Foods_3_CA_3.l11 + Foods_1_CA_1.l12 + Foods_2_CA_1.l12 + Foods_3_CA_1.l12 + Foods_1_CA_2.l12 + Foods_2_CA_2.l12 + Foods_3_CA_2.l12 + Foods_1_CA_3.l12 + Foods_2_CA_3.l12 + Foods_3_CA_3.l12 + Foods_1_CA_1.l13 + Foods_2_CA_1.l13 + Foods_3_CA_1.l13 + Foods_1_CA_2.l13 + Foods_2_CA_2.l13 + Foods_3_CA_2.l13 + Foods_1_CA_3.l13 + Foods_2_CA_3.l13 + Foods_3_CA_3.l13 + Foods_1_CA_1.l14 + Foods_2_CA_1.l14 + Foods_3_CA_1.l14 + Foods_1_CA_2.l14 + Foods_2_CA_2.l14 + Foods_3_CA_2.l14 + Foods_1_CA_3.l14 + Foods_2_CA_3.l14 + Foods_3_CA_3.l14 + const 
## 
##                    Estimate Std. Error t value Pr(>|t|)    
## Foods_1_CA_1.l1   0.2663102  0.0348692   7.637 3.55e-14 ***
## Foods_2_CA_1.l1  -0.0060774  0.0210812  -0.288 0.773163    
## Foods_3_CA_1.l1  -0.0121201  0.0070463  -1.720 0.085589 .  
## Foods_1_CA_2.l1   0.0636171  0.0460040   1.383 0.166877    
## Foods_2_CA_2.l1   0.0339819  0.0337779   1.006 0.314530    
## Foods_3_CA_2.l1  -0.0126443  0.0089388  -1.415 0.157374    
## Foods_1_CA_3.l1   0.2993028  0.0285389  10.488  < 2e-16 ***
## Foods_2_CA_3.l1  -0.0315721  0.0139951  -2.256 0.024192 *  
## Foods_3_CA_3.l1   0.0061727  0.0053181   1.161 0.245918    
## Foods_1_CA_1.l2   0.0484738  0.0363013   1.335 0.181938    
## Foods_2_CA_1.l2  -0.0214394  0.0219318  -0.978 0.328427    
## Foods_3_CA_1.l2  -0.0002749  0.0073383  -0.037 0.970123    
## Foods_1_CA_2.l2  -0.0240319  0.0475131  -0.506 0.613062    
## Foods_2_CA_2.l2   0.0092910  0.0346759   0.268 0.788777    
## Foods_3_CA_2.l2  -0.0116033  0.0092067  -1.260 0.207719    
## Foods_1_CA_3.l2   0.0910282  0.0295395   3.082 0.002090 ** 
## Foods_2_CA_3.l2   0.0172855  0.0149064   1.160 0.246364    
## Foods_3_CA_3.l2   0.0027267  0.0055737   0.489 0.624753    
## Foods_1_CA_1.l3  -0.0207257  0.0363334  -0.570 0.568455    
## Foods_2_CA_1.l3   0.0326874  0.0219991   1.486 0.137491    
## Foods_3_CA_1.l3  -0.0031323  0.0073481  -0.426 0.669957    
## Foods_1_CA_2.l3   0.0762468  0.0474725   1.606 0.108419    
## Foods_2_CA_2.l3  -0.0252129  0.0348461  -0.724 0.469434    
## Foods_3_CA_2.l3  -0.0011328  0.0092781  -0.122 0.902838    
## Foods_1_CA_3.l3   0.0427900  0.0294914   1.451 0.146970    
## Foods_2_CA_3.l3   0.0166314  0.0150287   1.107 0.268592    
## Foods_3_CA_3.l3  -0.0032029  0.0055907  -0.573 0.566790    
## Foods_1_CA_1.l4  -0.0079176  0.0363373  -0.218 0.827537    
## Foods_2_CA_1.l4   0.0013182  0.0220205   0.060 0.952272    
## Foods_3_CA_1.l4   0.0033886  0.0073385   0.462 0.644313    
## Foods_1_CA_2.l4   0.0434151  0.0474415   0.915 0.360245    
## Foods_2_CA_2.l4  -0.0378317  0.0347278  -1.089 0.276131    
## Foods_3_CA_2.l4   0.0087525  0.0093012   0.941 0.346824    
## Foods_1_CA_3.l4   0.0129792  0.0294072   0.441 0.659004    
## Foods_2_CA_3.l4   0.0008925  0.0150181   0.059 0.952616    
## Foods_3_CA_3.l4   0.0089541  0.0055894   1.602 0.109330    
## Foods_1_CA_1.l5  -0.0223365  0.0364459  -0.613 0.540040    
## Foods_2_CA_1.l5   0.0463401  0.0220752   2.099 0.035936 *  
## Foods_3_CA_1.l5  -0.0163532  0.0073464  -2.226 0.026134 *  
## Foods_1_CA_2.l5  -0.0097226  0.0478201  -0.203 0.838911    
## Foods_2_CA_2.l5  -0.0204364  0.0347571  -0.588 0.556619    
## Foods_3_CA_2.l5  -0.0075274  0.0093279  -0.807 0.419784    
## Foods_1_CA_3.l5   0.0991637  0.0294094   3.372 0.000762 ***
## Foods_2_CA_3.l5  -0.0223511  0.0150499  -1.485 0.137681    
## Foods_3_CA_3.l5   0.0023748  0.0056045   0.424 0.671818    
## Foods_1_CA_1.l6   0.0557058  0.0363567   1.532 0.125646    
## Foods_2_CA_1.l6  -0.0045981  0.0221016  -0.208 0.835218    
## Foods_3_CA_1.l6  -0.0086595  0.0073738  -1.174 0.240403    
## Foods_1_CA_2.l6  -0.0457512  0.0477290  -0.959 0.337906    
## Foods_2_CA_2.l6   0.0234014  0.0346117   0.676 0.499055    
## Foods_3_CA_2.l6   0.0011048  0.0093326   0.118 0.905778    
## Foods_1_CA_3.l6   0.0400011  0.0294809   1.357 0.174997    
## Foods_2_CA_3.l6   0.0099306  0.0150882   0.658 0.510511    
## Foods_3_CA_3.l6   0.0039698  0.0056172   0.707 0.479834    
## Foods_1_CA_1.l7  -0.0025958  0.0362405  -0.072 0.942907    
## Foods_2_CA_1.l7  -0.0260022  0.0221532  -1.174 0.240649    
## Foods_3_CA_1.l7   0.0291556  0.0073993   3.940 8.44e-05 ***
## Foods_1_CA_2.l7   0.1347479  0.0480853   2.802 0.005128 ** 
## Foods_2_CA_2.l7   0.0118066  0.0346850   0.340 0.733599    
## Foods_3_CA_2.l7  -0.0020568  0.0093209  -0.221 0.825377    
## Foods_1_CA_3.l7  -0.0060389  0.0293768  -0.206 0.837152    
## Foods_2_CA_3.l7   0.0209827  0.0151113   1.389 0.165141    
## Foods_3_CA_3.l7  -0.0065035  0.0056386  -1.153 0.248899    
## Foods_1_CA_1.l8   0.0085104  0.0364000   0.234 0.815165    
## Foods_2_CA_1.l8   0.0490124  0.0221255   2.215 0.026869 *  
## Foods_3_CA_1.l8  -0.0139918  0.0074453  -1.879 0.060367 .  
## Foods_1_CA_2.l8  -0.0720039  0.0479120  -1.503 0.133054    
## Foods_2_CA_2.l8  -0.0093996  0.0346273  -0.271 0.786076    
## Foods_3_CA_2.l8   0.0194472  0.0093976   2.069 0.038651 *  
## Foods_1_CA_3.l8  -0.0180953  0.0293322  -0.617 0.537372    
## Foods_2_CA_3.l8  -0.0065052  0.0150908  -0.431 0.666468    
## Foods_3_CA_3.l8  -0.0023839  0.0056343  -0.423 0.672273    
## Foods_1_CA_1.l9  -0.0475317  0.0364983  -1.302 0.192978    
## Foods_2_CA_1.l9   0.0254344  0.0221147   1.150 0.250247    
## Foods_3_CA_1.l9  -0.0058454  0.0074323  -0.786 0.431680    
## Foods_1_CA_2.l9  -0.0081078  0.0477477  -0.170 0.865182    
## Foods_2_CA_2.l9   0.0582766  0.0345160   1.688 0.091506 .  
## Foods_3_CA_2.l9  -0.0142413  0.0093592  -1.522 0.128275    
## Foods_1_CA_3.l9  -0.0399425  0.0292949  -1.363 0.172905    
## Foods_2_CA_3.l9   0.0166015  0.0150979   1.100 0.271656    
## Foods_3_CA_3.l9  -0.0064962  0.0056061  -1.159 0.246703    
## Foods_1_CA_1.l10 -0.0406836  0.0365208  -1.114 0.265432    
## Foods_2_CA_1.l10 -0.0497034  0.0221201  -2.247 0.024760 *  
## Foods_3_CA_1.l10  0.0127226  0.0074328   1.712 0.087126 .  
## Foods_1_CA_2.l10 -0.0646619  0.0477769  -1.353 0.176091    
## Foods_2_CA_2.l10 -0.0160684  0.0345666  -0.465 0.642092    
## Foods_3_CA_2.l10  0.0010609  0.0093195   0.114 0.909384    
## Foods_1_CA_3.l10 -0.0735711  0.0291519  -2.524 0.011696 *  
## Foods_2_CA_3.l10 -0.0084684  0.0150926  -0.561 0.574800    
## Foods_3_CA_3.l10 -0.0004455  0.0055919  -0.080 0.936511    
## Foods_1_CA_1.l11 -0.0138943  0.0364348  -0.381 0.702991    
## Foods_2_CA_1.l11  0.0291045  0.0220833   1.318 0.187688    
## Foods_3_CA_1.l11 -0.0158589  0.0074089  -2.141 0.032444 *  
## Foods_1_CA_2.l11  0.1208328  0.0478463   2.525 0.011639 *  
## Foods_2_CA_2.l11  0.0534233  0.0345801   1.545 0.122540    
## Foods_3_CA_2.l11 -0.0084699  0.0093254  -0.908 0.363861    
## Foods_1_CA_3.l11 -0.0498601  0.0291273  -1.712 0.087103 .  
## Foods_2_CA_3.l11  0.0064307  0.0150604   0.427 0.669433    
## Foods_3_CA_3.l11  0.0027849  0.0055769   0.499 0.617581    
## Foods_1_CA_1.l12 -0.0321740  0.0363554  -0.885 0.376280    
## Foods_2_CA_1.l12 -0.0160145  0.0221743  -0.722 0.470258    
## Foods_3_CA_1.l12  0.0031650  0.0074295   0.426 0.670156    
## Foods_1_CA_2.l12 -0.0497586  0.0479616  -1.037 0.299655    
## Foods_2_CA_2.l12 -0.0174772  0.0345774  -0.505 0.613302    
## Foods_3_CA_2.l12 -0.0062167  0.0093216  -0.667 0.504908    
## Foods_1_CA_3.l12  0.0376669  0.0291631   1.292 0.196661    
## Foods_2_CA_3.l12 -0.0155455  0.0150144  -1.035 0.300631    
## Foods_3_CA_3.l12 -0.0057282  0.0055621  -1.030 0.303210    
## Foods_1_CA_1.l13  0.0393778  0.0362928   1.085 0.278064    
## Foods_2_CA_1.l13 -0.0353181  0.0220281  -1.603 0.109037    
## Foods_3_CA_1.l13  0.0011060  0.0074197   0.149 0.881521    
## Foods_1_CA_2.l13  0.0182153  0.0477391   0.382 0.702832    
## Foods_2_CA_2.l13 -0.0133302  0.0345384  -0.386 0.699576    
## Foods_3_CA_2.l13 -0.0138121  0.0093481  -1.478 0.139708    
## Foods_1_CA_3.l13  0.0153179  0.0290256   0.528 0.597746    
## Foods_2_CA_3.l13  0.0102164  0.0149267   0.684 0.493787    
## Foods_3_CA_3.l13  0.0078249  0.0055321   1.414 0.157399    
## Foods_1_CA_1.l14 -0.0469940  0.0349861  -1.343 0.179368    
## Foods_2_CA_1.l14  0.0212105  0.0210401   1.008 0.313540    
## Foods_3_CA_1.l14  0.0065764  0.0071380   0.921 0.357004    
## Foods_1_CA_2.l14  0.0081729  0.0462195   0.177 0.859663    
## Foods_2_CA_2.l14  0.0178816  0.0337843   0.529 0.596671    
## Foods_3_CA_2.l14  0.0117629  0.0089690   1.312 0.189852    
## Foods_1_CA_3.l14  0.0061780  0.0276569   0.223 0.823264    
## Foods_2_CA_3.l14 -0.0059167  0.0138942  -0.426 0.670276    
## Foods_3_CA_3.l14 -0.0038490  0.0052135  -0.738 0.460442    
## const            94.2575537 10.3601784   9.098  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 30.98 on 1828 degrees of freedom
## Multiple R-Squared: 0.6115,  Adjusted R-squared: 0.5847 
## F-statistic: 22.83 on 126 and 1828 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Foods_2_CA_3: 
## ============================================= 
## Foods_2_CA_3 = Foods_1_CA_1.l1 + Foods_2_CA_1.l1 + Foods_3_CA_1.l1 + Foods_1_CA_2.l1 + Foods_2_CA_2.l1 + Foods_3_CA_2.l1 + Foods_1_CA_3.l1 + Foods_2_CA_3.l1 + Foods_3_CA_3.l1 + Foods_1_CA_1.l2 + Foods_2_CA_1.l2 + Foods_3_CA_1.l2 + Foods_1_CA_2.l2 + Foods_2_CA_2.l2 + Foods_3_CA_2.l2 + Foods_1_CA_3.l2 + Foods_2_CA_3.l2 + Foods_3_CA_3.l2 + Foods_1_CA_1.l3 + Foods_2_CA_1.l3 + Foods_3_CA_1.l3 + Foods_1_CA_2.l3 + Foods_2_CA_2.l3 + Foods_3_CA_2.l3 + Foods_1_CA_3.l3 + Foods_2_CA_3.l3 + Foods_3_CA_3.l3 + Foods_1_CA_1.l4 + Foods_2_CA_1.l4 + Foods_3_CA_1.l4 + Foods_1_CA_2.l4 + Foods_2_CA_2.l4 + Foods_3_CA_2.l4 + Foods_1_CA_3.l4 + Foods_2_CA_3.l4 + Foods_3_CA_3.l4 + Foods_1_CA_1.l5 + Foods_2_CA_1.l5 + Foods_3_CA_1.l5 + Foods_1_CA_2.l5 + Foods_2_CA_2.l5 + Foods_3_CA_2.l5 + Foods_1_CA_3.l5 + Foods_2_CA_3.l5 + Foods_3_CA_3.l5 + Foods_1_CA_1.l6 + Foods_2_CA_1.l6 + Foods_3_CA_1.l6 + Foods_1_CA_2.l6 + Foods_2_CA_2.l6 + Foods_3_CA_2.l6 + Foods_1_CA_3.l6 + Foods_2_CA_3.l6 + Foods_3_CA_3.l6 + Foods_1_CA_1.l7 + Foods_2_CA_1.l7 + Foods_3_CA_1.l7 + Foods_1_CA_2.l7 + Foods_2_CA_2.l7 + Foods_3_CA_2.l7 + Foods_1_CA_3.l7 + Foods_2_CA_3.l7 + Foods_3_CA_3.l7 + Foods_1_CA_1.l8 + Foods_2_CA_1.l8 + Foods_3_CA_1.l8 + Foods_1_CA_2.l8 + Foods_2_CA_2.l8 + Foods_3_CA_2.l8 + Foods_1_CA_3.l8 + Foods_2_CA_3.l8 + Foods_3_CA_3.l8 + Foods_1_CA_1.l9 + Foods_2_CA_1.l9 + Foods_3_CA_1.l9 + Foods_1_CA_2.l9 + Foods_2_CA_2.l9 + Foods_3_CA_2.l9 + Foods_1_CA_3.l9 + Foods_2_CA_3.l9 + Foods_3_CA_3.l9 + Foods_1_CA_1.l10 + Foods_2_CA_1.l10 + Foods_3_CA_1.l10 + Foods_1_CA_2.l10 + Foods_2_CA_2.l10 + Foods_3_CA_2.l10 + Foods_1_CA_3.l10 + Foods_2_CA_3.l10 + Foods_3_CA_3.l10 + Foods_1_CA_1.l11 + Foods_2_CA_1.l11 + Foods_3_CA_1.l11 + Foods_1_CA_2.l11 + Foods_2_CA_2.l11 + Foods_3_CA_2.l11 + Foods_1_CA_3.l11 + Foods_2_CA_3.l11 + Foods_3_CA_3.l11 + Foods_1_CA_1.l12 + Foods_2_CA_1.l12 + Foods_3_CA_1.l12 + Foods_1_CA_2.l12 + Foods_2_CA_2.l12 + Foods_3_CA_2.l12 + Foods_1_CA_3.l12 + Foods_2_CA_3.l12 + Foods_3_CA_3.l12 + Foods_1_CA_1.l13 + Foods_2_CA_1.l13 + Foods_3_CA_1.l13 + Foods_1_CA_2.l13 + Foods_2_CA_2.l13 + Foods_3_CA_2.l13 + Foods_1_CA_3.l13 + Foods_2_CA_3.l13 + Foods_3_CA_3.l13 + Foods_1_CA_1.l14 + Foods_2_CA_1.l14 + Foods_3_CA_1.l14 + Foods_1_CA_2.l14 + Foods_2_CA_2.l14 + Foods_3_CA_2.l14 + Foods_1_CA_3.l14 + Foods_2_CA_3.l14 + Foods_3_CA_3.l14 + const 
## 
##                    Estimate Std. Error t value Pr(>|t|)    
## Foods_1_CA_1.l1   0.1824952  0.0887824   2.056 0.039969 *  
## Foods_2_CA_1.l1   0.1368611  0.0536761   2.550 0.010861 *  
## Foods_3_CA_1.l1  -0.0181629  0.0179409  -1.012 0.311494    
## Foods_1_CA_2.l1  -0.1689439  0.1171334  -1.442 0.149383    
## Foods_2_CA_2.l1   0.2933862  0.0860039   3.411 0.000661 ***
## Foods_3_CA_2.l1  -0.0051456  0.0227597  -0.226 0.821163    
## Foods_1_CA_3.l1   0.0283448  0.0726646   0.390 0.696525    
## Foods_2_CA_3.l1   0.4150850  0.0356337  11.649  < 2e-16 ***
## Foods_3_CA_3.l1  -0.0204267  0.0135408  -1.509 0.131590    
## Foods_1_CA_1.l2   0.0760508  0.0924289   0.823 0.410727    
## Foods_2_CA_1.l2   0.0492541  0.0558418   0.882 0.377876    
## Foods_3_CA_1.l2  -0.0301506  0.0186845  -1.614 0.106772    
## Foods_1_CA_2.l2   0.0014244  0.1209757   0.012 0.990607    
## Foods_2_CA_2.l2   0.1523108  0.0882902   1.725 0.084676 .  
## Foods_3_CA_2.l2  -0.0753283  0.0234418  -3.213 0.001335 ** 
## Foods_1_CA_3.l2   0.0417195  0.0752122   0.555 0.579174    
## Foods_2_CA_3.l2   0.0364335  0.0379541   0.960 0.337215    
## Foods_3_CA_3.l2   0.0284774  0.0141915   2.007 0.044934 *  
## Foods_1_CA_1.l3   0.0568012  0.0925105   0.614 0.539293    
## Foods_2_CA_1.l3  -0.0088028  0.0560132  -0.157 0.875140    
## Foods_3_CA_1.l3  -0.0199380  0.0187094  -1.066 0.286713    
## Foods_1_CA_2.l3  -0.0124515  0.1208725  -0.103 0.917963    
## Foods_2_CA_2.l3  -0.0483164  0.0887236  -0.545 0.586114    
## Foods_3_CA_2.l3   0.0395884  0.0236235   1.676 0.093948 .  
## Foods_1_CA_3.l3  -0.0078914  0.0750897  -0.105 0.916313    
## Foods_2_CA_3.l3   0.0678882  0.0382654   1.774 0.076206 .  
## Foods_3_CA_3.l3  -0.0005592  0.0142349  -0.039 0.968669    
## Foods_1_CA_1.l4  -0.1985631  0.0925204  -2.146 0.031992 *  
## Foods_2_CA_1.l4   0.1026919  0.0560676   1.832 0.067178 .  
## Foods_3_CA_1.l4  -0.0408195  0.0186848  -2.185 0.029043 *  
## Foods_1_CA_2.l4   0.1439746  0.1207935   1.192 0.233452    
## Foods_2_CA_2.l4  -0.1576429  0.0884225  -1.783 0.074779 .  
## Foods_3_CA_2.l4   0.0254362  0.0236823   1.074 0.282939    
## Foods_1_CA_3.l4   0.0365339  0.0748754   0.488 0.625658    
## Foods_2_CA_3.l4   0.0515407  0.0382384   1.348 0.177864    
## Foods_3_CA_3.l4   0.0283738  0.0142314   1.994 0.046328 *  
## Foods_1_CA_1.l5   0.0530433  0.0927969   0.572 0.567658    
## Foods_2_CA_1.l5   0.0513666  0.0562068   0.914 0.360898    
## Foods_3_CA_1.l5  -0.0187870  0.0187050  -1.004 0.315327    
## Foods_1_CA_2.l5   0.0139725  0.1217575   0.115 0.908650    
## Foods_2_CA_2.l5  -0.0422236  0.0884969  -0.477 0.633334    
## Foods_3_CA_2.l5  -0.0246298  0.0237503  -1.037 0.299857    
## Foods_1_CA_3.l5   0.0110558  0.0748809   0.148 0.882639    
## Foods_2_CA_3.l5   0.0352031  0.0383193   0.919 0.358386    
## Foods_3_CA_3.l5   0.0079067  0.0142700   0.554 0.579592    
## Foods_1_CA_1.l6  -0.0492376  0.0925699  -0.532 0.594862    
## Foods_2_CA_1.l6  -0.0261853  0.0562742  -0.465 0.641760    
## Foods_3_CA_1.l6   0.0161835  0.0187748   0.862 0.388809    
## Foods_1_CA_2.l6  -0.0884700  0.1215255  -0.728 0.466710    
## Foods_2_CA_2.l6  -0.0029255  0.0881268  -0.033 0.973522    
## Foods_3_CA_2.l6   0.0169822  0.0237624   0.715 0.474906    
## Foods_1_CA_3.l6   0.0246532  0.0750631   0.328 0.742622    
## Foods_2_CA_3.l6  -0.0030011  0.0384170  -0.078 0.937743    
## Foods_3_CA_3.l6  -0.0110830  0.0143023  -0.775 0.438496    
## Foods_1_CA_1.l7  -0.1265919  0.0922739  -1.372 0.170258    
## Foods_2_CA_1.l7   0.0882760  0.0564054   1.565 0.117750    
## Foods_3_CA_1.l7   0.0291831  0.0188398   1.549 0.121552    
## Foods_1_CA_2.l7   0.0490905  0.1224327   0.401 0.688497    
## Foods_2_CA_2.l7  -0.0761350  0.0883135  -0.862 0.388746    
## Foods_3_CA_2.l7   0.0345506  0.0237326   1.456 0.145612    
## Foods_1_CA_3.l7   0.0108108  0.0747979   0.145 0.885095    
## Foods_2_CA_3.l7   0.1569203  0.0384758   4.078 4.73e-05 ***
## Foods_3_CA_3.l7  -0.0165731  0.0143567  -1.154 0.248494    
## Foods_1_CA_1.l8  -0.0505290  0.0926800  -0.545 0.585684    
## Foods_2_CA_1.l8  -0.1359546  0.0563350  -2.413 0.015906 *  
## Foods_3_CA_1.l8   0.0268842  0.0189570   1.418 0.156311    
## Foods_1_CA_2.l8  -0.0226805  0.1219916  -0.186 0.852529    
## Foods_2_CA_2.l8  -0.0751685  0.0881666  -0.853 0.394007    
## Foods_3_CA_2.l8   0.0143217  0.0239278   0.599 0.549554    
## Foods_1_CA_3.l8  -0.1079479  0.0746845  -1.445 0.148521    
## Foods_2_CA_3.l8   0.0342471  0.0384236   0.891 0.372884    
## Foods_3_CA_3.l8  -0.0074834  0.0143458  -0.522 0.601983    
## Foods_1_CA_1.l9  -0.0783428  0.0929305  -0.843 0.399324    
## Foods_2_CA_1.l9   0.0158899  0.0563074   0.282 0.777823    
## Foods_3_CA_1.l9   0.0030287  0.0189238   0.160 0.872860    
## Foods_1_CA_2.l9   0.1243869  0.1215732   1.023 0.306375    
## Foods_2_CA_2.l9  -0.0707262  0.0878830  -0.805 0.421054    
## Foods_3_CA_2.l9  -0.0177367  0.0238300  -0.744 0.456791    
## Foods_1_CA_3.l9  -0.0227363  0.0745895  -0.305 0.760539    
## Foods_2_CA_3.l9  -0.0334967  0.0384416  -0.871 0.383669    
## Foods_3_CA_3.l9   0.0063093  0.0142741   0.442 0.658534    
## Foods_1_CA_1.l10 -0.0098402  0.0929878  -0.106 0.915735    
## Foods_2_CA_1.l10 -0.0244935  0.0563212  -0.435 0.663694    
## Foods_3_CA_1.l10 -0.0047785  0.0189251  -0.252 0.800686    
## Foods_1_CA_2.l10 -0.0110308  0.1216474  -0.091 0.927758    
## Foods_2_CA_2.l10  0.0498190  0.0880119   0.566 0.571430    
## Foods_3_CA_2.l10  0.0074294  0.0237288   0.313 0.754242    
## Foods_1_CA_3.l10 -0.0520710  0.0742253  -0.702 0.483064    
## Foods_2_CA_3.l10  0.0152304  0.0384282   0.396 0.691905    
## Foods_3_CA_3.l10 -0.0022956  0.0142379  -0.161 0.871927    
## Foods_1_CA_1.l11  0.0566538  0.0927688   0.611 0.541475    
## Foods_2_CA_1.l11 -0.0207217  0.0562275  -0.369 0.712519    
## Foods_3_CA_1.l11 -0.0088558  0.0188641  -0.469 0.638803    
## Foods_1_CA_2.l11 -0.1371267  0.1218242  -1.126 0.260478    
## Foods_2_CA_2.l11 -0.0453364  0.0880464  -0.515 0.606675    
## Foods_3_CA_2.l11  0.0055546  0.0237439   0.234 0.815058    
## Foods_1_CA_3.l11 -0.0205672  0.0741627  -0.277 0.781561    
## Foods_2_CA_3.l11  0.0003283  0.0383462   0.009 0.993171    
## Foods_3_CA_3.l11  0.0086327  0.0141996   0.608 0.543294    
## Foods_1_CA_1.l12 -0.1678950  0.0925665  -1.814 0.069876 .  
## Foods_2_CA_1.l12 -0.0347114  0.0564593  -0.615 0.538761    
## Foods_3_CA_1.l12  0.0216561  0.0189168   1.145 0.252437    
## Foods_1_CA_2.l12  0.1839135  0.1221178   1.506 0.132231    
## Foods_2_CA_2.l12  0.0441410  0.0880396   0.501 0.616167    
## Foods_3_CA_2.l12 -0.0345106  0.0237342  -1.454 0.146106    
## Foods_1_CA_3.l12  0.0212080  0.0742539   0.286 0.775205    
## Foods_2_CA_3.l12 -0.0341483  0.0382290  -0.893 0.371837    
## Foods_3_CA_3.l12  0.0035639  0.0141620   0.252 0.801338    
## Foods_1_CA_1.l13 -0.0377146  0.0924073  -0.408 0.683223    
## Foods_2_CA_1.l13  0.0156587  0.0560871   0.279 0.780134    
## Foods_3_CA_1.l13  0.0304367  0.0188916   1.611 0.107326    
## Foods_1_CA_2.l13 -0.0641623  0.1215512  -0.528 0.597659    
## Foods_2_CA_2.l13 -0.0603099  0.0879401  -0.686 0.492922    
## Foods_3_CA_2.l13  0.0074426  0.0238018   0.313 0.754553    
## Foods_1_CA_3.l13  0.0810252  0.0739037   1.096 0.273065    
## Foods_2_CA_3.l13  0.0568828  0.0380057   1.497 0.134646    
## Foods_3_CA_3.l13 -0.0050299  0.0140855  -0.357 0.721059    
## Foods_1_CA_1.l14  0.0706645  0.0890801   0.793 0.427724    
## Foods_2_CA_1.l14 -0.0506894  0.0535713  -0.946 0.344170    
## Foods_3_CA_1.l14 -0.0022930  0.0181744  -0.126 0.899616    
## Foods_1_CA_2.l14 -0.0077490  0.1176820  -0.066 0.947507    
## Foods_2_CA_2.l14 -0.0286850  0.0860202  -0.333 0.738819    
## Foods_3_CA_2.l14  0.0354914  0.0228365   1.554 0.120320    
## Foods_1_CA_3.l14 -0.0582093  0.0704189  -0.827 0.408564    
## Foods_2_CA_3.l14  0.0741023  0.0353768   2.095 0.036339 *  
## Foods_3_CA_3.l14 -0.0202041  0.0132744  -1.522 0.128174    
## const            52.0632707 26.3786436   1.974 0.048567 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 78.88 on 1828 degrees of freedom
## Multiple R-Squared: 0.7275,  Adjusted R-squared: 0.7087 
## F-statistic: 38.73 on 126 and 1828 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Foods_3_CA_3: 
## ============================================= 
## Foods_3_CA_3 = Foods_1_CA_1.l1 + Foods_2_CA_1.l1 + Foods_3_CA_1.l1 + Foods_1_CA_2.l1 + Foods_2_CA_2.l1 + Foods_3_CA_2.l1 + Foods_1_CA_3.l1 + Foods_2_CA_3.l1 + Foods_3_CA_3.l1 + Foods_1_CA_1.l2 + Foods_2_CA_1.l2 + Foods_3_CA_1.l2 + Foods_1_CA_2.l2 + Foods_2_CA_2.l2 + Foods_3_CA_2.l2 + Foods_1_CA_3.l2 + Foods_2_CA_3.l2 + Foods_3_CA_3.l2 + Foods_1_CA_1.l3 + Foods_2_CA_1.l3 + Foods_3_CA_1.l3 + Foods_1_CA_2.l3 + Foods_2_CA_2.l3 + Foods_3_CA_2.l3 + Foods_1_CA_3.l3 + Foods_2_CA_3.l3 + Foods_3_CA_3.l3 + Foods_1_CA_1.l4 + Foods_2_CA_1.l4 + Foods_3_CA_1.l4 + Foods_1_CA_2.l4 + Foods_2_CA_2.l4 + Foods_3_CA_2.l4 + Foods_1_CA_3.l4 + Foods_2_CA_3.l4 + Foods_3_CA_3.l4 + Foods_1_CA_1.l5 + Foods_2_CA_1.l5 + Foods_3_CA_1.l5 + Foods_1_CA_2.l5 + Foods_2_CA_2.l5 + Foods_3_CA_2.l5 + Foods_1_CA_3.l5 + Foods_2_CA_3.l5 + Foods_3_CA_3.l5 + Foods_1_CA_1.l6 + Foods_2_CA_1.l6 + Foods_3_CA_1.l6 + Foods_1_CA_2.l6 + Foods_2_CA_2.l6 + Foods_3_CA_2.l6 + Foods_1_CA_3.l6 + Foods_2_CA_3.l6 + Foods_3_CA_3.l6 + Foods_1_CA_1.l7 + Foods_2_CA_1.l7 + Foods_3_CA_1.l7 + Foods_1_CA_2.l7 + Foods_2_CA_2.l7 + Foods_3_CA_2.l7 + Foods_1_CA_3.l7 + Foods_2_CA_3.l7 + Foods_3_CA_3.l7 + Foods_1_CA_1.l8 + Foods_2_CA_1.l8 + Foods_3_CA_1.l8 + Foods_1_CA_2.l8 + Foods_2_CA_2.l8 + Foods_3_CA_2.l8 + Foods_1_CA_3.l8 + Foods_2_CA_3.l8 + Foods_3_CA_3.l8 + Foods_1_CA_1.l9 + Foods_2_CA_1.l9 + Foods_3_CA_1.l9 + Foods_1_CA_2.l9 + Foods_2_CA_2.l9 + Foods_3_CA_2.l9 + Foods_1_CA_3.l9 + Foods_2_CA_3.l9 + Foods_3_CA_3.l9 + Foods_1_CA_1.l10 + Foods_2_CA_1.l10 + Foods_3_CA_1.l10 + Foods_1_CA_2.l10 + Foods_2_CA_2.l10 + Foods_3_CA_2.l10 + Foods_1_CA_3.l10 + Foods_2_CA_3.l10 + Foods_3_CA_3.l10 + Foods_1_CA_1.l11 + Foods_2_CA_1.l11 + Foods_3_CA_1.l11 + Foods_1_CA_2.l11 + Foods_2_CA_2.l11 + Foods_3_CA_2.l11 + Foods_1_CA_3.l11 + Foods_2_CA_3.l11 + Foods_3_CA_3.l11 + Foods_1_CA_1.l12 + Foods_2_CA_1.l12 + Foods_3_CA_1.l12 + Foods_1_CA_2.l12 + Foods_2_CA_2.l12 + Foods_3_CA_2.l12 + Foods_1_CA_3.l12 + Foods_2_CA_3.l12 + Foods_3_CA_3.l12 + Foods_1_CA_1.l13 + Foods_2_CA_1.l13 + Foods_3_CA_1.l13 + Foods_1_CA_2.l13 + Foods_2_CA_2.l13 + Foods_3_CA_2.l13 + Foods_1_CA_3.l13 + Foods_2_CA_3.l13 + Foods_3_CA_3.l13 + Foods_1_CA_1.l14 + Foods_2_CA_1.l14 + Foods_3_CA_1.l14 + Foods_1_CA_2.l14 + Foods_2_CA_2.l14 + Foods_3_CA_2.l14 + Foods_1_CA_3.l14 + Foods_2_CA_3.l14 + Foods_3_CA_3.l14 + const 
## 
##                    Estimate Std. Error t value Pr(>|t|)    
## Foods_1_CA_1.l1   9.017e-01  2.908e-01   3.101 0.001961 ** 
## Foods_2_CA_1.l1   1.132e-01  1.758e-01   0.644 0.519812    
## Foods_3_CA_1.l1   3.221e-02  5.877e-02   0.548 0.583660    
## Foods_1_CA_2.l1  -3.099e-01  3.837e-01  -0.808 0.419425    
## Foods_2_CA_2.l1   1.893e-01  2.817e-01   0.672 0.501628    
## Foods_3_CA_2.l1   4.285e-02  7.455e-02   0.575 0.565513    
## Foods_1_CA_3.l1   1.370e-01  2.380e-01   0.576 0.565023    
## Foods_2_CA_3.l1  -4.595e-02  1.167e-01  -0.394 0.693870    
## Foods_3_CA_3.l1   3.287e-01  4.436e-02   7.410 1.92e-13 ***
## Foods_1_CA_1.l2  -2.802e-01  3.028e-01  -0.925 0.354852    
## Foods_2_CA_1.l2   2.481e-01  1.829e-01   1.356 0.175181    
## Foods_3_CA_1.l2  -5.570e-02  6.121e-02  -0.910 0.362892    
## Foods_1_CA_2.l2   1.859e-01  3.963e-01   0.469 0.639082    
## Foods_2_CA_2.l2  -1.815e-02  2.892e-01  -0.063 0.949969    
## Foods_3_CA_2.l2  -1.828e-01  7.679e-02  -2.380 0.017410 *  
## Foods_1_CA_3.l2   5.674e-03  2.464e-01   0.023 0.981628    
## Foods_2_CA_3.l2  -1.684e-01  1.243e-01  -1.355 0.175690    
## Foods_3_CA_3.l2   1.929e-01  4.649e-02   4.149 3.49e-05 ***
## Foods_1_CA_1.l3  -1.560e-01  3.030e-01  -0.515 0.606761    
## Foods_2_CA_1.l3   8.401e-02  1.835e-01   0.458 0.647117    
## Foods_3_CA_1.l3  -1.054e-01  6.129e-02  -1.720 0.085598 .  
## Foods_1_CA_2.l3   2.083e-01  3.959e-01   0.526 0.598935    
## Foods_2_CA_2.l3  -2.253e-01  2.906e-01  -0.775 0.438231    
## Foods_3_CA_2.l3   1.013e-01  7.738e-02   1.309 0.190658    
## Foods_1_CA_3.l3   7.386e-02  2.460e-01   0.300 0.764017    
## Foods_2_CA_3.l3   3.847e-02  1.253e-01   0.307 0.758960    
## Foods_3_CA_3.l3   7.574e-02  4.663e-02   1.624 0.104493    
## Foods_1_CA_1.l4  -5.389e-01  3.031e-01  -1.778 0.075559 .  
## Foods_2_CA_1.l4   1.866e-01  1.837e-01   1.016 0.309715    
## Foods_3_CA_1.l4  -6.561e-02  6.121e-02  -1.072 0.283875    
## Foods_1_CA_2.l4   2.785e-01  3.957e-01   0.704 0.481553    
## Foods_2_CA_2.l4  -1.773e-01  2.896e-01  -0.612 0.540421    
## Foods_3_CA_2.l4  -1.638e-02  7.758e-02  -0.211 0.832844    
## Foods_1_CA_3.l4   1.099e-01  2.453e-01   0.448 0.654183    
## Foods_2_CA_3.l4   1.624e-02  1.253e-01   0.130 0.896862    
## Foods_3_CA_3.l4   1.270e-01  4.662e-02   2.724 0.006510 ** 
## Foods_1_CA_1.l5   7.886e-02  3.040e-01   0.259 0.795346    
## Foods_2_CA_1.l5   3.480e-01  1.841e-01   1.890 0.058939 .  
## Foods_3_CA_1.l5  -1.869e-01  6.127e-02  -3.050 0.002325 ** 
## Foods_1_CA_2.l5   2.189e-01  3.988e-01   0.549 0.583135    
## Foods_2_CA_2.l5  -1.402e-01  2.899e-01  -0.483 0.628809    
## Foods_3_CA_2.l5  -4.207e-02  7.780e-02  -0.541 0.588725    
## Foods_1_CA_3.l5  -9.267e-02  2.453e-01  -0.378 0.705615    
## Foods_2_CA_3.l5  -2.449e-02  1.255e-01  -0.195 0.845318    
## Foods_3_CA_3.l5   1.236e-01  4.674e-02   2.645 0.008246 ** 
## Foods_1_CA_1.l6   2.976e-01  3.032e-01   0.981 0.326516    
## Foods_2_CA_1.l6  -5.747e-02  1.843e-01  -0.312 0.755269    
## Foods_3_CA_1.l6   2.294e-03  6.150e-02   0.037 0.970254    
## Foods_1_CA_2.l6   4.934e-02  3.981e-01   0.124 0.901376    
## Foods_2_CA_2.l6  -5.595e-02  2.887e-01  -0.194 0.846342    
## Foods_3_CA_2.l6  -3.939e-02  7.784e-02  -0.506 0.612873    
## Foods_1_CA_3.l6   3.005e-01  2.459e-01   1.222 0.221783    
## Foods_2_CA_3.l6  -1.558e-01  1.258e-01  -1.238 0.215902    
## Foods_3_CA_3.l6   4.149e-02  4.685e-02   0.886 0.375921    
## Foods_1_CA_1.l7  -5.419e-01  3.023e-01  -1.793 0.073195 .  
## Foods_2_CA_1.l7   1.932e-01  1.848e-01   1.046 0.295911    
## Foods_3_CA_1.l7   1.823e-01  6.171e-02   2.954 0.003175 ** 
## Foods_1_CA_2.l7   4.814e-02  4.011e-01   0.120 0.904474    
## Foods_2_CA_2.l7  -5.831e-01  2.893e-01  -2.016 0.043969 *  
## Foods_3_CA_2.l7   2.982e-01  7.774e-02   3.836 0.000129 ***
## Foods_1_CA_3.l7  -1.124e-01  2.450e-01  -0.459 0.646613    
## Foods_2_CA_3.l7   1.205e-01  1.260e-01   0.956 0.339347    
## Foods_3_CA_3.l7   1.664e-03  4.703e-02   0.035 0.971774    
## Foods_1_CA_1.l8   1.733e-01  3.036e-01   0.571 0.568164    
## Foods_2_CA_1.l8  -1.909e-01  1.845e-01  -1.035 0.300970    
## Foods_3_CA_1.l8   5.925e-02  6.210e-02   0.954 0.340173    
## Foods_1_CA_2.l8  -2.762e-01  3.996e-01  -0.691 0.489509    
## Foods_2_CA_2.l8   1.359e-01  2.888e-01   0.471 0.637914    
## Foods_3_CA_2.l8   7.749e-03  7.838e-02   0.099 0.921261    
## Foods_1_CA_3.l8  -5.803e-01  2.446e-01  -2.372 0.017789 *  
## Foods_2_CA_3.l8   1.398e-01  1.259e-01   1.111 0.266798    
## Foods_3_CA_3.l8  -5.820e-02  4.699e-02  -1.239 0.215675    
## Foods_1_CA_1.l9  -5.614e-01  3.044e-01  -1.844 0.065340 .  
## Foods_2_CA_1.l9   5.405e-02  1.844e-01   0.293 0.769526    
## Foods_3_CA_1.l9  -1.387e-02  6.199e-02  -0.224 0.822994    
## Foods_1_CA_2.l9   5.599e-01  3.982e-01   1.406 0.159883    
## Foods_2_CA_2.l9  -3.671e-01  2.879e-01  -1.275 0.202424    
## Foods_3_CA_2.l9  -9.221e-02  7.806e-02  -1.181 0.237671    
## Foods_1_CA_3.l9  -9.838e-02  2.443e-01  -0.403 0.687251    
## Foods_2_CA_3.l9   2.496e-02  1.259e-01   0.198 0.842913    
## Foods_3_CA_3.l9  -2.893e-02  4.676e-02  -0.619 0.536246    
## Foods_1_CA_1.l10 -1.784e-02  3.046e-01  -0.059 0.953312    
## Foods_2_CA_1.l10 -1.773e-01  1.845e-01  -0.961 0.336695    
## Foods_3_CA_1.l10  7.852e-04  6.199e-02   0.013 0.989896    
## Foods_1_CA_2.l10 -2.488e-01  3.985e-01  -0.624 0.532404    
## Foods_2_CA_2.l10  4.364e-02  2.883e-01   0.151 0.879704    
## Foods_3_CA_2.l10  2.068e-02  7.773e-02   0.266 0.790216    
## Foods_1_CA_3.l10 -4.431e-01  2.431e-01  -1.822 0.068556 .  
## Foods_2_CA_3.l10  2.668e-02  1.259e-01   0.212 0.832162    
## Foods_3_CA_3.l10  1.875e-02  4.664e-02   0.402 0.687663    
## Foods_1_CA_1.l11 -7.615e-02  3.039e-01  -0.251 0.802165    
## Foods_2_CA_1.l11  1.529e-01  1.842e-01   0.830 0.406456    
## Foods_3_CA_1.l11 -1.239e-01  6.179e-02  -2.005 0.045116 *  
## Foods_1_CA_2.l11 -1.260e-02  3.991e-01  -0.032 0.974815    
## Foods_2_CA_2.l11  7.845e-02  2.884e-01   0.272 0.785665    
## Foods_3_CA_2.l11  5.570e-02  7.778e-02   0.716 0.474029    
## Foods_1_CA_3.l11 -7.196e-02  2.429e-01  -0.296 0.767100    
## Foods_2_CA_3.l11  4.774e-02  1.256e-01   0.380 0.703965    
## Foods_3_CA_3.l11  2.785e-02  4.651e-02   0.599 0.549408    
## Foods_1_CA_1.l12 -6.442e-01  3.032e-01  -2.125 0.033757 *  
## Foods_2_CA_1.l12 -2.722e-01  1.849e-01  -1.472 0.141234    
## Foods_3_CA_1.l12  1.210e-01  6.197e-02   1.953 0.050918 .  
## Foods_1_CA_2.l12  6.012e-01  4.000e-01   1.503 0.133006    
## Foods_2_CA_2.l12  1.635e-01  2.884e-01   0.567 0.570946    
## Foods_3_CA_2.l12 -1.854e-01  7.775e-02  -2.385 0.017203 *  
## Foods_1_CA_3.l12 -1.574e-03  2.432e-01  -0.006 0.994837    
## Foods_2_CA_3.l12 -9.886e-02  1.252e-01  -0.789 0.429938    
## Foods_3_CA_3.l12  2.500e-02  4.639e-02   0.539 0.589968    
## Foods_1_CA_1.l13  4.244e-02  3.027e-01   0.140 0.888506    
## Foods_2_CA_1.l13 -3.520e-01  1.837e-01  -1.916 0.055566 .  
## Foods_3_CA_1.l13  1.065e-01  6.188e-02   1.721 0.085354 .  
## Foods_1_CA_2.l13 -2.254e-01  3.982e-01  -0.566 0.571376    
## Foods_2_CA_2.l13  1.719e-01  2.881e-01   0.597 0.550846    
## Foods_3_CA_2.l13 -1.103e-01  7.797e-02  -1.415 0.157373    
## Foods_1_CA_3.l13 -7.247e-03  2.421e-01  -0.030 0.976123    
## Foods_2_CA_3.l13  6.772e-02  1.245e-01   0.544 0.586546    
## Foods_3_CA_3.l13  4.631e-02  4.614e-02   1.004 0.315630    
## Foods_1_CA_1.l14  2.093e-01  2.918e-01   0.717 0.473337    
## Foods_2_CA_1.l14  3.286e-02  1.755e-01   0.187 0.851487    
## Foods_3_CA_1.l14  5.280e-02  5.953e-02   0.887 0.375306    
## Foods_1_CA_2.l14 -1.031e-01  3.855e-01  -0.267 0.789177    
## Foods_2_CA_2.l14  9.268e-04  2.818e-01   0.003 0.997376    
## Foods_3_CA_2.l14  1.369e-01  7.481e-02   1.830 0.067460 .  
## Foods_1_CA_3.l14 -1.809e-01  2.307e-01  -0.784 0.433076    
## Foods_2_CA_3.l14  5.051e-02  1.159e-01   0.436 0.662981    
## Foods_3_CA_3.l14 -3.082e-02  4.348e-02  -0.709 0.478548    
## const             5.380e+02  8.641e+01   6.226 5.90e-10 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 258.4 on 1828 degrees of freedom
## Multiple R-Squared: 0.7688,  Adjusted R-squared: 0.7529 
## F-statistic: 48.25 on 126 and 1828 DF,  p-value: < 2.2e-16 
## 
## 
## 
## Covariance matrix of residuals:
##              Foods_1_CA_1 Foods_2_CA_1 Foods_3_CA_1 Foods_1_CA_2 Foods_2_CA_2
## Foods_1_CA_1        625.3        388.9       2359.5        108.4        180.0
## Foods_2_CA_1        388.9       3061.9       8497.4        123.1        649.1
## Foods_3_CA_1       2359.5       8497.4      41729.6        818.1       2883.4
## Foods_1_CA_2        108.4        123.1        818.1        301.4        163.3
## Foods_2_CA_2        180.0        649.1       2883.4        163.3        977.0
## Foods_3_CA_2       1159.9       3354.9      17323.8        992.5       3088.8
## Foods_1_CA_3        352.7        394.0       2580.2        127.3        239.1
## Foods_2_CA_3        442.3       2214.0       7587.9        184.1        971.7
## Foods_3_CA_3       2653.8       7377.7      36724.1        930.5       3388.2
##              Foods_3_CA_2 Foods_1_CA_3 Foods_2_CA_3 Foods_3_CA_3
## Foods_1_CA_1       1159.9        352.7        442.3       2653.8
## Foods_2_CA_1       3354.9        394.0       2214.0       7377.7
## Foods_3_CA_1      17323.8       2580.2       7587.9      36724.1
## Foods_1_CA_2        992.5        127.3        184.1        930.5
## Foods_2_CA_2       3088.8        239.1        971.7       3388.2
## Foods_3_CA_2      19159.2       1409.2       4413.0      20621.9
## Foods_1_CA_3       1409.2        959.7        673.9       3878.7
## Foods_2_CA_3       4413.0        673.9       6221.8      14407.4
## Foods_3_CA_3      20621.9       3878.7      14407.4      66762.4
## 
## Correlation matrix of residuals:
##              Foods_1_CA_1 Foods_2_CA_1 Foods_3_CA_1 Foods_1_CA_2 Foods_2_CA_2
## Foods_1_CA_1       1.0000       0.2811       0.4619       0.2497       0.2303
## Foods_2_CA_1       0.2811       1.0000       0.7517       0.1281       0.3753
## Foods_3_CA_1       0.4619       0.7517       1.0000       0.2307       0.4516
## Foods_1_CA_2       0.2497       0.1281       0.2307       1.0000       0.3009
## Foods_2_CA_2       0.2303       0.3753       0.4516       0.3009       1.0000
## Foods_3_CA_2       0.3351       0.4380       0.6127       0.4130       0.7139
## Foods_1_CA_3       0.4552       0.2298       0.4077       0.2366       0.2469
## Foods_2_CA_3       0.2242       0.5073       0.4709       0.1344       0.3941
## Foods_3_CA_3       0.4107       0.5160       0.6958       0.2074       0.4195
##              Foods_3_CA_2 Foods_1_CA_3 Foods_2_CA_3 Foods_3_CA_3
## Foods_1_CA_1       0.3351       0.4552       0.2242       0.4107
## Foods_2_CA_1       0.4380       0.2298       0.5073       0.5160
## Foods_3_CA_1       0.6127       0.4077       0.4709       0.6958
## Foods_1_CA_2       0.4130       0.2366       0.1344       0.2074
## Foods_2_CA_2       0.7139       0.2469       0.3941       0.4195
## Foods_3_CA_2       1.0000       0.3286       0.4042       0.5766
## Foods_1_CA_3       0.3286       1.0000       0.2758       0.4846
## Foods_2_CA_3       0.4042       0.2758       1.0000       0.7069
## Foods_3_CA_3       0.5766       0.4846       0.7069       1.0000
Serial_food <- serial.test(Model_food, lags.pt = 5, type = "PT.asymptotic")
## Warning in pchisq(STATISTIC, df = PARAMETER): NaNs produced

## Warning in pchisq(STATISTIC, df = PARAMETER): NaNs produced
Serial_food
## 
##  Portmanteau Test (asymptotic)
## 
## data:  Residuals of VAR object Model_food
## Chi-squared = 22.899, df = -729, p-value = NA
Arch_food <- arch.test(Model_food, lags.multi = 15, multivariate.only = TRUE)
Arch_food
## 
##  ARCH (multivariate)
## 
## data:  Residuals of VAR object Model_food
## Chi-squared = 34577, df = 30375, p-value < 2.2e-16
Norm_food <- normality.test(Model_food, multivariate.only = TRUE)
Norm_food
## $JB
## 
##  JB-Test (multivariate)
## 
## data:  Residuals of VAR object Model_food
## Chi-squared = 21560, df = 18, p-value < 2.2e-16
## 
## 
## $Skewness
## 
##  Skewness only (multivariate)
## 
## data:  Residuals of VAR object Model_food
## Chi-squared = 544.71, df = 9, p-value < 2.2e-16
## 
## 
## $Kurtosis
## 
##  Kurtosis only (multivariate)
## 
## data:  Residuals of VAR object Model_food
## Chi-squared = 21015, df = 9, p-value < 2.2e-16
Stability_food <- stability(Model_food, type = "OLS-CUSUM")

forecast <- predict(Model_food, n.ahead = 28, ci = 0.95)
result_food = forecast$fcst$Foods_1_CA_1+forecast$fcst$Foods_2_CA_1+forecast$fcst$Foods_3_CA_1+forecast$fcst$Foods_1_CA_2+forecast$fcst$Foods_2_CA_2+forecast$fcst$Foods_3_CA_2+forecast$fcst$Foods_1_CA_3+forecast$fcst$Foods_2_CA_3+forecast$fcst$Foods_3_CA_3
print(result_food)
##           fcst    lower     upper       CI
##  [1,] 6853.097 5206.933  8499.260 1646.163
##  [2,] 6095.410 4323.722  7867.099 1771.688
##  [3,] 5991.590 4181.520  7801.659 1810.069
##  [4,] 6082.304 4249.322  7915.286 1832.982
##  [5,] 6997.846 5139.503  8856.189 1858.343
##  [6,] 8684.472 6797.915 10571.030 1886.557
##  [7,] 8762.754 6853.508 10672.001 1909.246
##  [8,] 7273.472 5269.349  9277.594 2004.122
##  [9,] 6466.982 4418.366  8515.598 2048.616
## [10,] 6451.534 4388.342  8514.727 2063.193
## [11,] 6594.941 4520.638  8669.245 2074.304
## [12,] 7399.392 5309.619  9489.164 2089.773
## [13,] 8743.440 6639.858 10847.023 2103.582
## [14,] 8913.126 6795.359 11030.893 2117.767
## [15,] 7681.853 5483.189  9880.518 2198.664
## [16,] 6779.767 4541.426  9018.109 2238.341
## [17,] 6564.983 4312.790  8817.176 2252.193
## [18,] 6611.102 4347.035  8875.170 2264.067
## [19,] 7402.673 5128.091  9677.255 2274.582
## [20,] 8684.176 6401.043 10967.310 2283.133
## [21,] 8811.487 6519.094 11103.880 2292.393
## [22,] 7684.652 5344.645 10024.658 2340.006
## [23,] 6774.228 4404.813  9143.642 2369.415
## [24,] 6508.667 4131.761  8885.573 2376.906
## [25,] 6548.752 4165.218  8932.286 2383.534
## [26,] 7325.274 4936.124  9714.425 2389.151
## [27,] 8525.947 6131.898 10919.995 2394.049
## [28,] 8694.020 6290.291 11097.750 2403.729

Consider a large VAR model involving all variables.

We input all 18 variables to build a large VAR model and get forecasts for different variables.

v_large <- cbind(Hobbies_CA_1, Hobbies_CA_2, Hobbies_CA_3, Household_1_CA_1, Household_2_CA_1, Household_1_CA_2, Household_2_CA_2, Household_1_CA_3, Household_2_CA_3, Foods_1_CA_1, Foods_2_CA_1, Foods_3_CA_1, Foods_1_CA_2, Foods_2_CA_2, Foods_3_CA_2, Foods_1_CA_3, Foods_2_CA_3, Foods_3_CA_3)
colnames(v_large) <- cbind("Hobbies_CA_1", "Hobbies_CA_2", "Hobbies_CA_3", "Household_1_CA_1", "Household_2_CA_1", "Household_1_CA_2", "Household_2_CA_2", "Household_1_CA_3", "Household_2_CA_3", "Foods_1_CA_1", "Foods_2_CA_1", "Foods_3_CA_1", "Foods_1_CA_2", "Foods_2_CA_2", "Foods_3_CA_2", "Foods_1_CA_3", "Foods_2_CA_3", "Foods_3_CA_3")
lagselect <- VARselect(v_large, lag.max = 60, type = "const")
lagselect$selection
## AIC(n)  HQ(n)  SC(n) FPE(n) 
##      7      7      1      7
Model_large <- VAR(v_large, p = 7, type = "const", season = NULL, exog = NULL) 
summary(Model_large)
## 
## VAR Estimation Results:
## ========================= 
## Endogenous variables: Hobbies_CA_1, Hobbies_CA_2, Hobbies_CA_3, Household_1_CA_1, Household_2_CA_1, Household_1_CA_2, Household_2_CA_2, Household_1_CA_3, Household_2_CA_3, Foods_1_CA_1, Foods_2_CA_1, Foods_3_CA_1, Foods_1_CA_2, Foods_2_CA_2, Foods_3_CA_2, Foods_1_CA_3, Foods_2_CA_3, Foods_3_CA_3 
## Deterministic variables: const 
## Sample size: 1962 
## Log Likelihood: -177391.55 
## Roots of the characteristic polynomial:
## 0.9985 0.991 0.991 0.9907 0.9804 0.9664 0.9664 0.9577 0.9577 0.9505 0.9357 0.9357 0.9204 0.9204 0.8995 0.8995 0.8655 0.8655 0.8453 0.8453 0.8387 0.8387 0.8362 0.8362 0.832 0.832 0.8243 0.8243 0.8077 0.8077 0.7981 0.7981 0.7935 0.7935 0.7868 0.7868 0.7833 0.7833 0.7793 0.7793 0.7731 0.7731 0.7668 0.7668 0.7636 0.7636 0.7564 0.7564 0.7535 0.7535 0.7493 0.7493 0.7486 0.7486 0.7435 0.7435 0.7434 0.7434 0.7406 0.7406 0.7403 0.7403 0.7343 0.7343 0.7295 0.728 0.728 0.7279 0.7279 0.7262 0.7262 0.7257 0.7257 0.7216 0.7216 0.7203 0.7203 0.7051 0.7051 0.7008 0.6984 0.6984 0.6948 0.6948 0.688 0.688 0.6864 0.6864 0.6825 0.6825 0.6778 0.6725 0.6725 0.6722 0.6722 0.6708 0.6708 0.6663 0.6632 0.6632 0.6616 0.6616 0.6592 0.6592 0.6585 0.6585 0.6482 0.6482 0.6442 0.6442 0.6296 0.6296 0.6148 0.6148 0.6113 0.6113 0.6076 0.6076 0.5894 0.5894 0.4697 0.4697 0.457 0.3723 0.3723 0.1576
## Call:
## VAR(y = v_large, p = 7, type = "const", exogen = NULL)
## 
## 
## Estimation results for equation Hobbies_CA_1: 
## ============================================= 
## Hobbies_CA_1 = Hobbies_CA_1.l1 + Hobbies_CA_2.l1 + Hobbies_CA_3.l1 + Household_1_CA_1.l1 + Household_2_CA_1.l1 + Household_1_CA_2.l1 + Household_2_CA_2.l1 + Household_1_CA_3.l1 + Household_2_CA_3.l1 + Foods_1_CA_1.l1 + Foods_2_CA_1.l1 + Foods_3_CA_1.l1 + Foods_1_CA_2.l1 + Foods_2_CA_2.l1 + Foods_3_CA_2.l1 + Foods_1_CA_3.l1 + Foods_2_CA_3.l1 + Foods_3_CA_3.l1 + Hobbies_CA_1.l2 + Hobbies_CA_2.l2 + Hobbies_CA_3.l2 + Household_1_CA_1.l2 + Household_2_CA_1.l2 + Household_1_CA_2.l2 + Household_2_CA_2.l2 + Household_1_CA_3.l2 + Household_2_CA_3.l2 + Foods_1_CA_1.l2 + Foods_2_CA_1.l2 + Foods_3_CA_1.l2 + Foods_1_CA_2.l2 + Foods_2_CA_2.l2 + Foods_3_CA_2.l2 + Foods_1_CA_3.l2 + Foods_2_CA_3.l2 + Foods_3_CA_3.l2 + Hobbies_CA_1.l3 + Hobbies_CA_2.l3 + Hobbies_CA_3.l3 + Household_1_CA_1.l3 + Household_2_CA_1.l3 + Household_1_CA_2.l3 + Household_2_CA_2.l3 + Household_1_CA_3.l3 + Household_2_CA_3.l3 + Foods_1_CA_1.l3 + Foods_2_CA_1.l3 + Foods_3_CA_1.l3 + Foods_1_CA_2.l3 + Foods_2_CA_2.l3 + Foods_3_CA_2.l3 + Foods_1_CA_3.l3 + Foods_2_CA_3.l3 + Foods_3_CA_3.l3 + Hobbies_CA_1.l4 + Hobbies_CA_2.l4 + Hobbies_CA_3.l4 + Household_1_CA_1.l4 + Household_2_CA_1.l4 + Household_1_CA_2.l4 + Household_2_CA_2.l4 + Household_1_CA_3.l4 + Household_2_CA_3.l4 + Foods_1_CA_1.l4 + Foods_2_CA_1.l4 + Foods_3_CA_1.l4 + Foods_1_CA_2.l4 + Foods_2_CA_2.l4 + Foods_3_CA_2.l4 + Foods_1_CA_3.l4 + Foods_2_CA_3.l4 + Foods_3_CA_3.l4 + Hobbies_CA_1.l5 + Hobbies_CA_2.l5 + Hobbies_CA_3.l5 + Household_1_CA_1.l5 + Household_2_CA_1.l5 + Household_1_CA_2.l5 + Household_2_CA_2.l5 + Household_1_CA_3.l5 + Household_2_CA_3.l5 + Foods_1_CA_1.l5 + Foods_2_CA_1.l5 + Foods_3_CA_1.l5 + Foods_1_CA_2.l5 + Foods_2_CA_2.l5 + Foods_3_CA_2.l5 + Foods_1_CA_3.l5 + Foods_2_CA_3.l5 + Foods_3_CA_3.l5 + Hobbies_CA_1.l6 + Hobbies_CA_2.l6 + Hobbies_CA_3.l6 + Household_1_CA_1.l6 + Household_2_CA_1.l6 + Household_1_CA_2.l6 + Household_2_CA_2.l6 + Household_1_CA_3.l6 + Household_2_CA_3.l6 + Foods_1_CA_1.l6 + Foods_2_CA_1.l6 + Foods_3_CA_1.l6 + Foods_1_CA_2.l6 + Foods_2_CA_2.l6 + Foods_3_CA_2.l6 + Foods_1_CA_3.l6 + Foods_2_CA_3.l6 + Foods_3_CA_3.l6 + Hobbies_CA_1.l7 + Hobbies_CA_2.l7 + Hobbies_CA_3.l7 + Household_1_CA_1.l7 + Household_2_CA_1.l7 + Household_1_CA_2.l7 + Household_2_CA_2.l7 + Household_1_CA_3.l7 + Household_2_CA_3.l7 + Foods_1_CA_1.l7 + Foods_2_CA_1.l7 + Foods_3_CA_1.l7 + Foods_1_CA_2.l7 + Foods_2_CA_2.l7 + Foods_3_CA_2.l7 + Foods_1_CA_3.l7 + Foods_2_CA_3.l7 + Foods_3_CA_3.l7 + const 
## 
##                       Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_1.l1      1.310e-01  2.586e-02   5.067 4.44e-07 ***
## Hobbies_CA_2.l1      5.391e-02  3.305e-02   1.631 0.102995    
## Hobbies_CA_3.l1      7.856e-02  2.456e-02   3.198 0.001406 ** 
## Household_1_CA_1.l1  4.636e-02  6.128e-02   0.756 0.449492    
## Household_2_CA_1.l1  1.397e-01  1.009e-01   1.385 0.166255    
## Household_1_CA_2.l1 -1.579e-02  6.140e-02  -0.257 0.797058    
## Household_2_CA_2.l1  3.412e-02  7.666e-02   0.445 0.656318    
## Household_1_CA_3.l1  3.701e-02  3.950e-02   0.937 0.348929    
## Household_2_CA_3.l1  1.570e-02  6.889e-02   0.228 0.819792    
## Foods_1_CA_1.l1      3.783e-02  7.005e-02   0.540 0.589291    
## Foods_2_CA_1.l1     -6.225e-02  4.182e-02  -1.489 0.136784    
## Foods_3_CA_1.l1     -1.629e-02  1.443e-02  -1.129 0.259022    
## Foods_1_CA_2.l1      5.177e-02  8.800e-02   0.588 0.556413    
## Foods_2_CA_2.l1     -4.841e-02  6.593e-02  -0.734 0.462867    
## Foods_3_CA_2.l1     -4.045e-03  1.920e-02  -0.211 0.833127    
## Foods_1_CA_3.l1      8.307e-02  5.603e-02   1.483 0.138356    
## Foods_2_CA_3.l1     -3.130e-02  2.763e-02  -1.133 0.257551    
## Foods_3_CA_3.l1     -7.589e-03  1.086e-02  -0.699 0.484915    
## Hobbies_CA_1.l2      6.511e-02  2.606e-02   2.499 0.012538 *  
## Hobbies_CA_2.l2      4.914e-03  3.285e-02   0.150 0.881102    
## Hobbies_CA_3.l2      9.003e-02  2.480e-02   3.630 0.000291 ***
## Household_1_CA_1.l2  3.176e-02  6.213e-02   0.511 0.609299    
## Household_2_CA_1.l2  7.311e-02  1.015e-01   0.720 0.471411    
## Household_1_CA_2.l2 -1.247e-01  6.290e-02  -1.983 0.047544 *  
## Household_2_CA_2.l2  4.332e-02  7.727e-02   0.561 0.575114    
## Household_1_CA_3.l2 -3.485e-02  4.098e-02  -0.850 0.395179    
## Household_2_CA_3.l2 -9.464e-02  6.916e-02  -1.369 0.171321    
## Foods_1_CA_1.l2     -4.468e-02  7.276e-02  -0.614 0.539296    
## Foods_2_CA_1.l2      7.374e-02  4.332e-02   1.702 0.088862 .  
## Foods_3_CA_1.l2     -4.289e-02  1.503e-02  -2.853 0.004375 ** 
## Foods_1_CA_2.l2     -8.528e-02  9.051e-02  -0.942 0.346182    
## Foods_2_CA_2.l2      2.420e-03  6.726e-02   0.036 0.971298    
## Foods_3_CA_2.l2      1.760e-03  1.976e-02   0.089 0.929059    
## Foods_1_CA_3.l2      1.948e-02  5.850e-02   0.333 0.739143    
## Foods_2_CA_3.l2      8.823e-03  2.957e-02   0.298 0.765462    
## Foods_3_CA_3.l2      7.751e-03  1.156e-02   0.670 0.502641    
## Hobbies_CA_1.l3      2.100e-02  2.608e-02   0.805 0.420728    
## Hobbies_CA_2.l3      3.280e-02  3.290e-02   0.997 0.318917    
## Hobbies_CA_3.l3      2.464e-02  2.488e-02   0.990 0.322087    
## Household_1_CA_1.l3  1.216e-02  6.195e-02   0.196 0.844389    
## Household_2_CA_1.l3  2.329e-02  1.014e-01   0.230 0.818303    
## Household_1_CA_2.l3  6.493e-03  6.344e-02   0.102 0.918488    
## Household_2_CA_2.l3 -1.961e-02  7.768e-02  -0.252 0.800686    
## Household_1_CA_3.l3 -2.625e-02  4.128e-02  -0.636 0.524881    
## Household_2_CA_3.l3  6.009e-02  6.944e-02   0.865 0.386919    
## Foods_1_CA_1.l3     -9.466e-02  7.291e-02  -1.298 0.194365    
## Foods_2_CA_1.l3     -4.994e-03  4.362e-02  -0.114 0.908859    
## Foods_3_CA_1.l3      2.030e-03  1.512e-02   0.134 0.893198    
## Foods_1_CA_2.l3      1.886e-01  9.032e-02   2.088 0.036961 *  
## Foods_2_CA_2.l3     -3.210e-03  6.738e-02  -0.048 0.962010    
## Foods_3_CA_2.l3     -2.679e-02  1.994e-02  -1.343 0.179397    
## Foods_1_CA_3.l3      1.365e-02  5.836e-02   0.234 0.815061    
## Foods_2_CA_3.l3      5.253e-03  2.960e-02   0.177 0.859136    
## Foods_3_CA_3.l3      7.587e-03  1.160e-02   0.654 0.513194    
## Hobbies_CA_1.l4      3.454e-02  2.609e-02   1.324 0.185746    
## Hobbies_CA_2.l4      1.410e-02  3.301e-02   0.427 0.669259    
## Hobbies_CA_3.l4      6.586e-02  2.464e-02   2.673 0.007577 ** 
## Household_1_CA_1.l4 -1.013e-01  6.198e-02  -1.634 0.102425    
## Household_2_CA_1.l4 -1.422e-01  1.010e-01  -1.408 0.159441    
## Household_1_CA_2.l4 -3.145e-02  6.381e-02  -0.493 0.622158    
## Household_2_CA_2.l4 -2.311e-01  7.794e-02  -2.965 0.003062 ** 
## Household_1_CA_3.l4  5.546e-04  4.108e-02   0.014 0.989230    
## Household_2_CA_3.l4  6.417e-02  6.956e-02   0.923 0.356338    
## Foods_1_CA_1.l4     -9.213e-02  7.283e-02  -1.265 0.206011    
## Foods_2_CA_1.l4     -7.990e-02  4.335e-02  -1.843 0.065490 .  
## Foods_3_CA_1.l4      3.190e-02  1.512e-02   2.109 0.035040 *  
## Foods_1_CA_2.l4      1.344e-01  9.060e-02   1.483 0.138208    
## Foods_2_CA_2.l4     -2.952e-02  6.737e-02  -0.438 0.661359    
## Foods_3_CA_2.l4      1.074e-02  1.987e-02   0.540 0.588978    
## Foods_1_CA_3.l4     -1.172e-01  5.810e-02  -2.017 0.043794 *  
## Foods_2_CA_3.l4      3.622e-02  2.959e-02   1.224 0.221113    
## Foods_3_CA_3.l4      3.372e-03  1.164e-02   0.290 0.771979    
## Hobbies_CA_1.l5      1.643e-03  2.610e-02   0.063 0.949805    
## Hobbies_CA_2.l5      8.448e-02  3.289e-02   2.568 0.010300 *  
## Hobbies_CA_3.l5     -1.379e-02  2.487e-02  -0.554 0.579315    
## Household_1_CA_1.l5  1.053e-01  6.186e-02   1.702 0.088954 .  
## Household_2_CA_1.l5 -2.085e-01  1.012e-01  -2.059 0.039587 *  
## Household_1_CA_2.l5 -1.358e-01  6.378e-02  -2.129 0.033403 *  
## Household_2_CA_2.l5 -1.118e-01  7.777e-02  -1.438 0.150698    
## Household_1_CA_3.l5  4.438e-02  4.129e-02   1.075 0.282587    
## Household_2_CA_3.l5  1.658e-02  6.967e-02   0.238 0.811906    
## Foods_1_CA_1.l5      1.313e-01  7.313e-02   1.795 0.072840 .  
## Foods_2_CA_1.l5      6.662e-02  4.349e-02   1.532 0.125755    
## Foods_3_CA_1.l5     -3.271e-02  1.515e-02  -2.159 0.030973 *  
## Foods_1_CA_2.l5      1.730e-01  9.118e-02   1.898 0.057896 .  
## Foods_2_CA_2.l5     -1.211e-02  6.741e-02  -0.180 0.857510    
## Foods_3_CA_2.l5     -1.835e-02  1.991e-02  -0.921 0.357003    
## Foods_1_CA_3.l5      3.116e-02  5.832e-02   0.534 0.593138    
## Foods_2_CA_3.l5     -1.809e-02  2.962e-02  -0.611 0.541472    
## Foods_3_CA_3.l5      1.222e-03  1.164e-02   0.105 0.916378    
## Hobbies_CA_1.l6     -2.535e-02  2.611e-02  -0.971 0.331702    
## Hobbies_CA_2.l6     -4.195e-02  3.289e-02  -1.276 0.202279    
## Hobbies_CA_3.l6     -3.318e-03  2.488e-02  -0.133 0.893937    
## Household_1_CA_1.l6 -2.158e-02  6.181e-02  -0.349 0.727066    
## Household_2_CA_1.l6  1.841e-01  1.010e-01   1.824 0.068324 .  
## Household_1_CA_2.l6 -1.023e-02  6.362e-02  -0.161 0.872283    
## Household_2_CA_2.l6  1.278e-01  7.795e-02   1.640 0.101203    
## Household_1_CA_3.l6  1.108e-02  4.124e-02   0.269 0.788140    
## Household_2_CA_3.l6 -1.883e-03  6.953e-02  -0.027 0.978393    
## Foods_1_CA_1.l6      1.239e-02  7.281e-02   0.170 0.864842    
## Foods_2_CA_1.l6     -7.690e-02  4.336e-02  -1.773 0.076314 .  
## Foods_3_CA_1.l6      5.056e-02  1.518e-02   3.331 0.000884 ***
## Foods_1_CA_2.l6     -1.430e-01  9.061e-02  -1.578 0.114665    
## Foods_2_CA_2.l6      9.660e-02  6.721e-02   1.437 0.150788    
## Foods_3_CA_2.l6      2.641e-03  1.990e-02   0.133 0.894452    
## Foods_1_CA_3.l6     -1.410e-01  5.823e-02  -2.422 0.015518 *  
## Foods_2_CA_3.l6     -2.109e-02  2.946e-02  -0.716 0.474160    
## Foods_3_CA_3.l6      3.323e-03  1.152e-02   0.288 0.773045    
## Hobbies_CA_1.l7      4.347e-02  2.601e-02   1.671 0.094815 .  
## Hobbies_CA_2.l7      7.005e-02  3.255e-02   2.152 0.031522 *  
## Hobbies_CA_3.l7      8.622e-03  2.475e-02   0.348 0.727587    
## Household_1_CA_1.l7  6.513e-02  6.081e-02   1.071 0.284273    
## Household_2_CA_1.l7  6.369e-02  1.009e-01   0.631 0.527957    
## Household_1_CA_2.l7  4.442e-02  6.135e-02   0.724 0.469178    
## Household_2_CA_2.l7  2.009e-01  7.658e-02   2.624 0.008773 ** 
## Household_1_CA_3.l7 -3.230e-02  3.933e-02  -0.821 0.411692    
## Household_2_CA_3.l7  4.772e-02  6.952e-02   0.687 0.492481    
## Foods_1_CA_1.l7      1.164e-02  6.983e-02   0.167 0.867646    
## Foods_2_CA_1.l7      6.800e-02  4.132e-02   1.646 0.100002    
## Foods_3_CA_1.l7     -4.104e-03  1.467e-02  -0.280 0.779761    
## Foods_1_CA_2.l7      3.384e-02  8.891e-02   0.381 0.703551    
## Foods_2_CA_2.l7      2.091e-02  6.593e-02   0.317 0.751136    
## Foods_3_CA_2.l7     -2.975e-03  1.930e-02  -0.154 0.877481    
## Foods_1_CA_3.l7     -3.449e-02  5.549e-02  -0.621 0.534357    
## Foods_2_CA_3.l7      7.389e-03  2.751e-02   0.269 0.788275    
## Foods_3_CA_3.l7     -7.805e-03  1.080e-02  -0.723 0.470040    
## const                1.357e+02  2.131e+01   6.366 2.44e-10 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 61.74 on 1835 degrees of freedom
## Multiple R-Squared: 0.5455,  Adjusted R-squared: 0.5143 
## F-statistic: 17.48 on 126 and 1835 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Hobbies_CA_2: 
## ============================================= 
## Hobbies_CA_2 = Hobbies_CA_1.l1 + Hobbies_CA_2.l1 + Hobbies_CA_3.l1 + Household_1_CA_1.l1 + Household_2_CA_1.l1 + Household_1_CA_2.l1 + Household_2_CA_2.l1 + Household_1_CA_3.l1 + Household_2_CA_3.l1 + Foods_1_CA_1.l1 + Foods_2_CA_1.l1 + Foods_3_CA_1.l1 + Foods_1_CA_2.l1 + Foods_2_CA_2.l1 + Foods_3_CA_2.l1 + Foods_1_CA_3.l1 + Foods_2_CA_3.l1 + Foods_3_CA_3.l1 + Hobbies_CA_1.l2 + Hobbies_CA_2.l2 + Hobbies_CA_3.l2 + Household_1_CA_1.l2 + Household_2_CA_1.l2 + Household_1_CA_2.l2 + Household_2_CA_2.l2 + Household_1_CA_3.l2 + Household_2_CA_3.l2 + Foods_1_CA_1.l2 + Foods_2_CA_1.l2 + Foods_3_CA_1.l2 + Foods_1_CA_2.l2 + Foods_2_CA_2.l2 + Foods_3_CA_2.l2 + Foods_1_CA_3.l2 + Foods_2_CA_3.l2 + Foods_3_CA_3.l2 + Hobbies_CA_1.l3 + Hobbies_CA_2.l3 + Hobbies_CA_3.l3 + Household_1_CA_1.l3 + Household_2_CA_1.l3 + Household_1_CA_2.l3 + Household_2_CA_2.l3 + Household_1_CA_3.l3 + Household_2_CA_3.l3 + Foods_1_CA_1.l3 + Foods_2_CA_1.l3 + Foods_3_CA_1.l3 + Foods_1_CA_2.l3 + Foods_2_CA_2.l3 + Foods_3_CA_2.l3 + Foods_1_CA_3.l3 + Foods_2_CA_3.l3 + Foods_3_CA_3.l3 + Hobbies_CA_1.l4 + Hobbies_CA_2.l4 + Hobbies_CA_3.l4 + Household_1_CA_1.l4 + Household_2_CA_1.l4 + Household_1_CA_2.l4 + Household_2_CA_2.l4 + Household_1_CA_3.l4 + Household_2_CA_3.l4 + Foods_1_CA_1.l4 + Foods_2_CA_1.l4 + Foods_3_CA_1.l4 + Foods_1_CA_2.l4 + Foods_2_CA_2.l4 + Foods_3_CA_2.l4 + Foods_1_CA_3.l4 + Foods_2_CA_3.l4 + Foods_3_CA_3.l4 + Hobbies_CA_1.l5 + Hobbies_CA_2.l5 + Hobbies_CA_3.l5 + Household_1_CA_1.l5 + Household_2_CA_1.l5 + Household_1_CA_2.l5 + Household_2_CA_2.l5 + Household_1_CA_3.l5 + Household_2_CA_3.l5 + Foods_1_CA_1.l5 + Foods_2_CA_1.l5 + Foods_3_CA_1.l5 + Foods_1_CA_2.l5 + Foods_2_CA_2.l5 + Foods_3_CA_2.l5 + Foods_1_CA_3.l5 + Foods_2_CA_3.l5 + Foods_3_CA_3.l5 + Hobbies_CA_1.l6 + Hobbies_CA_2.l6 + Hobbies_CA_3.l6 + Household_1_CA_1.l6 + Household_2_CA_1.l6 + Household_1_CA_2.l6 + Household_2_CA_2.l6 + Household_1_CA_3.l6 + Household_2_CA_3.l6 + Foods_1_CA_1.l6 + Foods_2_CA_1.l6 + Foods_3_CA_1.l6 + Foods_1_CA_2.l6 + Foods_2_CA_2.l6 + Foods_3_CA_2.l6 + Foods_1_CA_3.l6 + Foods_2_CA_3.l6 + Foods_3_CA_3.l6 + Hobbies_CA_1.l7 + Hobbies_CA_2.l7 + Hobbies_CA_3.l7 + Household_1_CA_1.l7 + Household_2_CA_1.l7 + Household_1_CA_2.l7 + Household_2_CA_2.l7 + Household_1_CA_3.l7 + Household_2_CA_3.l7 + Foods_1_CA_1.l7 + Foods_2_CA_1.l7 + Foods_3_CA_1.l7 + Foods_1_CA_2.l7 + Foods_2_CA_2.l7 + Foods_3_CA_2.l7 + Foods_1_CA_3.l7 + Foods_2_CA_3.l7 + Foods_3_CA_3.l7 + const 
## 
##                       Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_1.l1      0.0912665  0.0203615   4.482 7.84e-06 ***
## Hobbies_CA_2.l1      0.0370386  0.0260238   1.423 0.154831    
## Hobbies_CA_3.l1      0.0437859  0.0193437   2.264 0.023717 *  
## Household_1_CA_1.l1 -0.0221422  0.0482593  -0.459 0.646419    
## Household_2_CA_1.l1 -0.0441050  0.0794209  -0.555 0.578734    
## Household_1_CA_2.l1  0.0586854  0.0483547   1.214 0.225040    
## Household_2_CA_2.l1  0.0327325  0.0603700   0.542 0.587749    
## Household_1_CA_3.l1 -0.0018470  0.0311060  -0.059 0.952657    
## Household_2_CA_3.l1 -0.0253224  0.0542500  -0.467 0.640718    
## Foods_1_CA_1.l1     -0.0261096  0.0551659  -0.473 0.636061    
## Foods_2_CA_1.l1     -0.0085564  0.0329322  -0.260 0.795034    
## Foods_3_CA_1.l1     -0.0089888  0.0113610  -0.791 0.428932    
## Foods_1_CA_2.l1     -0.0232221  0.0692997  -0.335 0.737590    
## Foods_2_CA_2.l1      0.0552591  0.0519193   1.064 0.287321    
## Foods_3_CA_2.l1      0.0026848  0.0151164   0.178 0.859049    
## Foods_1_CA_3.l1      0.0549489  0.0441219   1.245 0.213148    
## Foods_2_CA_3.l1      0.0046328  0.0217614   0.213 0.831438    
## Foods_3_CA_3.l1     -0.0153203  0.0085551  -1.791 0.073491 .  
## Hobbies_CA_1.l2      0.0591394  0.0205182   2.882 0.003994 ** 
## Hobbies_CA_2.l2      0.0286904  0.0258682   1.109 0.267534    
## Hobbies_CA_3.l2      0.0277292  0.0195279   1.420 0.155784    
## Household_1_CA_1.l2 -0.0369976  0.0489255  -0.756 0.449624    
## Household_2_CA_1.l2 -0.0140918  0.0799269  -0.176 0.860071    
## Household_1_CA_2.l2 -0.0500293  0.0495298  -1.010 0.312587    
## Household_2_CA_2.l2 -0.0014435  0.0608480  -0.024 0.981076    
## Household_1_CA_3.l2 -0.0084811  0.0322728  -0.263 0.792740    
## Household_2_CA_3.l2 -0.0334034  0.0544603  -0.613 0.539719    
## Foods_1_CA_1.l2     -0.0095804  0.0572994  -0.167 0.867233    
## Foods_2_CA_1.l2     -0.0305553  0.0341134  -0.896 0.370532    
## Foods_3_CA_1.l2     -0.0040647  0.0118367  -0.343 0.731340    
## Foods_1_CA_2.l2     -0.1302231  0.0712724  -1.827 0.067844 .  
## Foods_2_CA_2.l2     -0.0640065  0.0529668  -1.208 0.227039    
## Foods_3_CA_2.l2      0.0065471  0.0155637   0.421 0.674049    
## Foods_1_CA_3.l2      0.0220936  0.0460709   0.480 0.631600    
## Foods_2_CA_3.l2     -0.0128871  0.0232879  -0.553 0.580070    
## Foods_3_CA_3.l2      0.0023550  0.0091039   0.259 0.795912    
## Hobbies_CA_1.l3      0.0622275  0.0205386   3.030 0.002481 ** 
## Hobbies_CA_2.l3      0.0345162  0.0259051   1.332 0.182891    
## Hobbies_CA_3.l3      0.0080783  0.0195891   0.412 0.680104    
## Household_1_CA_1.l3 -0.0276440  0.0487819  -0.567 0.570997    
## Household_2_CA_1.l3 -0.0591126  0.0798153  -0.741 0.459020    
## Household_1_CA_2.l3  0.0674785  0.0499579   1.351 0.176956    
## Household_2_CA_2.l3 -0.0345689  0.0611728  -0.565 0.572073    
## Household_1_CA_3.l3 -0.0394232  0.0325093  -1.213 0.225409    
## Household_2_CA_3.l3  0.0447175  0.0546801   0.818 0.413576    
## Foods_1_CA_1.l3     -0.0726498  0.0574155  -1.265 0.205912    
## Foods_2_CA_1.l3     -0.0050958  0.0343477  -0.148 0.882076    
## Foods_3_CA_1.l3     -0.0051601  0.0119056  -0.433 0.664764    
## Foods_1_CA_2.l3     -0.0079198  0.0711275  -0.111 0.911354    
## Foods_2_CA_2.l3      0.0207342  0.0530631   0.391 0.696030    
## Foods_3_CA_2.l3      0.0063516  0.0157059   0.404 0.685962    
## Foods_1_CA_3.l3      0.0170256  0.0459561   0.370 0.711071    
## Foods_2_CA_3.l3     -0.0023271  0.0233059  -0.100 0.920475    
## Foods_3_CA_3.l3      0.0113593  0.0091360   1.243 0.213896    
## Hobbies_CA_1.l4      0.0189457  0.0205456   0.922 0.356581    
## Hobbies_CA_2.l4      0.0244332  0.0259931   0.940 0.347348    
## Hobbies_CA_3.l4      0.0367513  0.0194017   1.894 0.058351 .  
## Household_1_CA_1.l4 -0.0930129  0.0488098  -1.906 0.056856 .  
## Household_2_CA_1.l4 -0.0444258  0.0795409  -0.559 0.576552    
## Household_1_CA_2.l4  0.0251355  0.0502492   0.500 0.616983    
## Household_2_CA_2.l4 -0.0303554  0.0613770  -0.495 0.620961    
## Household_1_CA_3.l4 -0.0068856  0.0323514  -0.213 0.831477    
## Household_2_CA_3.l4  0.0067952  0.0547740   0.124 0.901282    
## Foods_1_CA_1.l4     -0.0633225  0.0573525  -1.104 0.269697    
## Foods_2_CA_1.l4      0.0327520  0.0341404   0.959 0.337518    
## Foods_3_CA_1.l4      0.0020787  0.0119103   0.175 0.861466    
## Foods_1_CA_2.l4      0.1093658  0.0713494   1.533 0.125493    
## Foods_2_CA_2.l4     -0.0183011  0.0530544  -0.345 0.730172    
## Foods_3_CA_2.l4     -0.0087295  0.0156452  -0.558 0.576936    
## Foods_1_CA_3.l4     -0.0185582  0.0457534  -0.406 0.685074    
## Foods_2_CA_3.l4     -0.0102114  0.0233040  -0.438 0.661306    
## Foods_3_CA_3.l4      0.0058612  0.0091631   0.640 0.522476    
## Hobbies_CA_1.l5      0.0044793  0.0205556   0.218 0.827521    
## Hobbies_CA_2.l5      0.0500016  0.0259022   1.930 0.053711 .  
## Hobbies_CA_3.l5      0.0419391  0.0195837   2.142 0.032362 *  
## Household_1_CA_1.l5 -0.0310317  0.0487129  -0.637 0.524182    
## Household_2_CA_1.l5 -0.0999937  0.0797276  -1.254 0.209932    
## Household_1_CA_2.l5 -0.0247724  0.0502240  -0.493 0.621903    
## Household_2_CA_2.l5 -0.0432704  0.0612449  -0.707 0.479958    
## Household_1_CA_3.l5  0.0728936  0.0325141   2.242 0.025086 *  
## Household_2_CA_3.l5 -0.0276098  0.0548610  -0.503 0.614836    
## Foods_1_CA_1.l5      0.0358543  0.0575884   0.623 0.533628    
## Foods_2_CA_1.l5      0.0298188  0.0342516   0.871 0.384096    
## Foods_3_CA_1.l5     -0.0215484  0.0119290  -1.806 0.071022 .  
## Foods_1_CA_2.l5      0.0368055  0.0718058   0.513 0.608314    
## Foods_2_CA_2.l5     -0.0247501  0.0530873  -0.466 0.641116    
## Foods_3_CA_2.l5     -0.0256868  0.0156823  -1.638 0.101605    
## Foods_1_CA_3.l5      0.0974930  0.0459245   2.123 0.033896 *  
## Foods_2_CA_3.l5     -0.0132061  0.0233279  -0.566 0.571390    
## Foods_3_CA_3.l5     -0.0012538  0.0091635  -0.137 0.891181    
## Hobbies_CA_1.l6     -0.0412769  0.0205609  -2.008 0.044838 *  
## Hobbies_CA_2.l6      0.0286420  0.0259008   1.106 0.268943    
## Hobbies_CA_3.l6     -0.0178020  0.0195941  -0.909 0.363713    
## Household_1_CA_1.l6  0.0278005  0.0486726   0.571 0.567952    
## Household_2_CA_1.l6 -0.0074064  0.0794996  -0.093 0.925784    
## Household_1_CA_2.l6  0.0649266  0.0501008   1.296 0.195166    
## Household_2_CA_2.l6  0.0885401  0.0613825   1.442 0.149351    
## Household_1_CA_3.l6 -0.0904227  0.0324728  -2.785 0.005415 ** 
## Household_2_CA_3.l6  0.1754787  0.0547554   3.205 0.001375 ** 
## Foods_1_CA_1.l6     -0.0254137  0.0573356  -0.443 0.657641    
## Foods_2_CA_1.l6     -0.0228223  0.0341458  -0.668 0.503975    
## Foods_3_CA_1.l6      0.0198652  0.0119550   1.662 0.096751 .  
## Foods_1_CA_2.l6     -0.0395510  0.0713567  -0.554 0.579461    
## Foods_2_CA_2.l6     -0.0716114  0.0529261  -1.353 0.176208    
## Foods_3_CA_2.l6      0.0417162  0.0156748   2.661 0.007851 ** 
## Foods_1_CA_3.l6      0.0097415  0.0458519   0.212 0.831775    
## Foods_2_CA_3.l6     -0.0087725  0.0231954  -0.378 0.705326    
## Foods_3_CA_3.l6     -0.0006592  0.0090715  -0.073 0.942077    
## Hobbies_CA_1.l7     -0.0066322  0.0204796  -0.324 0.746093    
## Hobbies_CA_2.l7      0.0909278  0.0256322   3.547 0.000399 ***
## Hobbies_CA_3.l7     -0.0078272  0.0194879  -0.402 0.687994    
## Household_1_CA_1.l7  0.0220037  0.0478852   0.460 0.645923    
## Household_2_CA_1.l7 -0.0470875  0.0794567  -0.593 0.553509    
## Household_1_CA_2.l7  0.1492857  0.0483127   3.090 0.002032 ** 
## Household_2_CA_2.l7  0.1652618  0.0603068   2.740 0.006197 ** 
## Household_1_CA_3.l7 -0.0324299  0.0309728  -1.047 0.295217    
## Household_2_CA_3.l7 -0.0271478  0.0547440  -0.496 0.620021    
## Foods_1_CA_1.l7      0.0007494  0.0549866   0.014 0.989128    
## Foods_2_CA_1.l7      0.0414324  0.0325406   1.273 0.203089    
## Foods_3_CA_1.l7      0.0110333  0.0115550   0.955 0.339779    
## Foods_1_CA_2.l7      0.1055105  0.0700140   1.507 0.131985    
## Foods_2_CA_2.l7      0.0441702  0.0519190   0.851 0.395019    
## Foods_3_CA_2.l7      0.0114123  0.0151950   0.751 0.452714    
## Foods_1_CA_3.l7     -0.0674932  0.0437005  -1.544 0.122652    
## Foods_2_CA_3.l7      0.0002589  0.0216629   0.012 0.990466    
## Foods_3_CA_3.l7     -0.0044070  0.0085064  -0.518 0.604461    
## const               55.0443617 16.7836204   3.280 0.001059 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 48.62 on 1835 degrees of freedom
## Multiple R-Squared: 0.5884,  Adjusted R-squared: 0.5602 
## F-statistic: 20.82 on 126 and 1835 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Hobbies_CA_3: 
## ============================================= 
## Hobbies_CA_3 = Hobbies_CA_1.l1 + Hobbies_CA_2.l1 + Hobbies_CA_3.l1 + Household_1_CA_1.l1 + Household_2_CA_1.l1 + Household_1_CA_2.l1 + Household_2_CA_2.l1 + Household_1_CA_3.l1 + Household_2_CA_3.l1 + Foods_1_CA_1.l1 + Foods_2_CA_1.l1 + Foods_3_CA_1.l1 + Foods_1_CA_2.l1 + Foods_2_CA_2.l1 + Foods_3_CA_2.l1 + Foods_1_CA_3.l1 + Foods_2_CA_3.l1 + Foods_3_CA_3.l1 + Hobbies_CA_1.l2 + Hobbies_CA_2.l2 + Hobbies_CA_3.l2 + Household_1_CA_1.l2 + Household_2_CA_1.l2 + Household_1_CA_2.l2 + Household_2_CA_2.l2 + Household_1_CA_3.l2 + Household_2_CA_3.l2 + Foods_1_CA_1.l2 + Foods_2_CA_1.l2 + Foods_3_CA_1.l2 + Foods_1_CA_2.l2 + Foods_2_CA_2.l2 + Foods_3_CA_2.l2 + Foods_1_CA_3.l2 + Foods_2_CA_3.l2 + Foods_3_CA_3.l2 + Hobbies_CA_1.l3 + Hobbies_CA_2.l3 + Hobbies_CA_3.l3 + Household_1_CA_1.l3 + Household_2_CA_1.l3 + Household_1_CA_2.l3 + Household_2_CA_2.l3 + Household_1_CA_3.l3 + Household_2_CA_3.l3 + Foods_1_CA_1.l3 + Foods_2_CA_1.l3 + Foods_3_CA_1.l3 + Foods_1_CA_2.l3 + Foods_2_CA_2.l3 + Foods_3_CA_2.l3 + Foods_1_CA_3.l3 + Foods_2_CA_3.l3 + Foods_3_CA_3.l3 + Hobbies_CA_1.l4 + Hobbies_CA_2.l4 + Hobbies_CA_3.l4 + Household_1_CA_1.l4 + Household_2_CA_1.l4 + Household_1_CA_2.l4 + Household_2_CA_2.l4 + Household_1_CA_3.l4 + Household_2_CA_3.l4 + Foods_1_CA_1.l4 + Foods_2_CA_1.l4 + Foods_3_CA_1.l4 + Foods_1_CA_2.l4 + Foods_2_CA_2.l4 + Foods_3_CA_2.l4 + Foods_1_CA_3.l4 + Foods_2_CA_3.l4 + Foods_3_CA_3.l4 + Hobbies_CA_1.l5 + Hobbies_CA_2.l5 + Hobbies_CA_3.l5 + Household_1_CA_1.l5 + Household_2_CA_1.l5 + Household_1_CA_2.l5 + Household_2_CA_2.l5 + Household_1_CA_3.l5 + Household_2_CA_3.l5 + Foods_1_CA_1.l5 + Foods_2_CA_1.l5 + Foods_3_CA_1.l5 + Foods_1_CA_2.l5 + Foods_2_CA_2.l5 + Foods_3_CA_2.l5 + Foods_1_CA_3.l5 + Foods_2_CA_3.l5 + Foods_3_CA_3.l5 + Hobbies_CA_1.l6 + Hobbies_CA_2.l6 + Hobbies_CA_3.l6 + Household_1_CA_1.l6 + Household_2_CA_1.l6 + Household_1_CA_2.l6 + Household_2_CA_2.l6 + Household_1_CA_3.l6 + Household_2_CA_3.l6 + Foods_1_CA_1.l6 + Foods_2_CA_1.l6 + Foods_3_CA_1.l6 + Foods_1_CA_2.l6 + Foods_2_CA_2.l6 + Foods_3_CA_2.l6 + Foods_1_CA_3.l6 + Foods_2_CA_3.l6 + Foods_3_CA_3.l6 + Hobbies_CA_1.l7 + Hobbies_CA_2.l7 + Hobbies_CA_3.l7 + Household_1_CA_1.l7 + Household_2_CA_1.l7 + Household_1_CA_2.l7 + Household_2_CA_2.l7 + Household_1_CA_3.l7 + Household_2_CA_3.l7 + Foods_1_CA_1.l7 + Foods_2_CA_1.l7 + Foods_3_CA_1.l7 + Foods_1_CA_2.l7 + Foods_2_CA_2.l7 + Foods_3_CA_2.l7 + Foods_1_CA_3.l7 + Foods_2_CA_3.l7 + Foods_3_CA_3.l7 + const 
## 
##                       Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_1.l1      0.1120749  0.0273920   4.092 4.47e-05 ***
## Hobbies_CA_2.l1     -0.0260434  0.0350093  -0.744 0.457032    
## Hobbies_CA_3.l1      0.0928469  0.0260227   3.568 0.000369 ***
## Household_1_CA_1.l1  0.1124210  0.0649224   1.732 0.083509 .  
## Household_2_CA_1.l1  0.1457465  0.1068435   1.364 0.172699    
## Household_1_CA_2.l1 -0.0100456  0.0650507  -0.154 0.877290    
## Household_2_CA_2.l1  0.0790383  0.0812147   0.973 0.330582    
## Household_1_CA_3.l1  0.0908288  0.0418463   2.171 0.030094 *  
## Household_2_CA_3.l1 -0.0224539  0.0729816  -0.308 0.758372    
## Foods_1_CA_1.l1      0.0977953  0.0742137   1.318 0.187751    
## Foods_2_CA_1.l1      0.0137203  0.0443031   0.310 0.756830    
## Foods_3_CA_1.l1     -0.0478596  0.0152837  -3.131 0.001767 ** 
## Foods_1_CA_2.l1     -0.1150656  0.0932276  -1.234 0.217270    
## Foods_2_CA_2.l1      0.0639875  0.0698462   0.916 0.359724    
## Foods_3_CA_2.l1      0.0055967  0.0203358   0.275 0.783183    
## Foods_1_CA_3.l1     -0.0120241  0.0593564  -0.203 0.839490    
## Foods_2_CA_3.l1     -0.0506618  0.0292753  -1.731 0.083703 .  
## Foods_3_CA_3.l1      0.0078231  0.0115090   0.680 0.496753    
## Hobbies_CA_1.l2      0.0964997  0.0276027   3.496 0.000483 ***
## Hobbies_CA_2.l2      0.0380122  0.0348001   1.092 0.274843    
## Hobbies_CA_3.l2      0.0525602  0.0262705   2.001 0.045569 *  
## Household_1_CA_1.l2  0.0441307  0.0658186   0.670 0.502629    
## Household_2_CA_1.l2  0.0726557  0.1075243   0.676 0.499307    
## Household_1_CA_2.l2 -0.1598724  0.0666315  -2.399 0.016523 *  
## Household_2_CA_2.l2 -0.1348883  0.0818577  -1.648 0.099557 .  
## Household_1_CA_3.l2 -0.0693944  0.0434160  -1.598 0.110135    
## Household_2_CA_3.l2  0.0045696  0.0732645   0.062 0.950274    
## Foods_1_CA_1.l2      0.0455334  0.0770839   0.591 0.554794    
## Foods_2_CA_1.l2      0.0416994  0.0458921   0.909 0.363661    
## Foods_3_CA_1.l2     -0.0308194  0.0159237  -1.935 0.053090 .  
## Foods_1_CA_2.l2     -0.0823497  0.0958815  -0.859 0.390524    
## Foods_2_CA_2.l2     -0.0730642  0.0712553  -1.025 0.305316    
## Foods_3_CA_2.l2      0.0319144  0.0209376   1.524 0.127616    
## Foods_1_CA_3.l2      0.0042760  0.0619784   0.069 0.945004    
## Foods_2_CA_3.l2      0.0326184  0.0313287   1.041 0.297936    
## Foods_3_CA_3.l2      0.0007686  0.0122474   0.063 0.949966    
## Hobbies_CA_1.l3      0.0254886  0.0276302   0.922 0.356393    
## Hobbies_CA_2.l3      0.0073386  0.0348496   0.211 0.833240    
## Hobbies_CA_3.l3      0.0268148  0.0263529   1.018 0.309035    
## Household_1_CA_1.l3  0.0601866  0.0656254   0.917 0.359198    
## Household_2_CA_1.l3  0.1465316  0.1073741   1.365 0.172520    
## Household_1_CA_2.l3  0.0584468  0.0672075   0.870 0.384607    
## Household_2_CA_2.l3  0.0527524  0.0822947   0.641 0.521591    
## Household_1_CA_3.l3  0.0330012  0.0437341   0.755 0.450594    
## Household_2_CA_3.l3 -0.0859328  0.0735601  -1.168 0.242879    
## Foods_1_CA_1.l3     -0.0410278  0.0772401  -0.531 0.595363    
## Foods_2_CA_1.l3      0.0474918  0.0462073   1.028 0.304181    
## Foods_3_CA_1.l3     -0.0085297  0.0160164  -0.533 0.594405    
## Foods_1_CA_2.l3     -0.0029410  0.0956866  -0.031 0.975484    
## Foods_2_CA_2.l3      0.0639197  0.0713848   0.895 0.370678    
## Foods_3_CA_2.l3     -0.0220630  0.0211289  -1.044 0.296525    
## Foods_1_CA_3.l3     -0.0425855  0.0618239  -0.689 0.491024    
## Foods_2_CA_3.l3      0.0044732  0.0313530   0.143 0.886564    
## Foods_3_CA_3.l3     -0.0123457  0.0122905  -1.004 0.315274    
## Hobbies_CA_1.l4      0.0140395  0.0276396   0.508 0.611550    
## Hobbies_CA_2.l4     -0.0167809  0.0349681  -0.480 0.631361    
## Hobbies_CA_3.l4      0.1568053  0.0261007   6.008 2.26e-09 ***
## Household_1_CA_1.l4 -0.1026217  0.0656630  -1.563 0.118259    
## Household_2_CA_1.l4 -0.0075096  0.1070049  -0.070 0.944058    
## Household_1_CA_2.l4  0.0580398  0.0675994   0.859 0.390682    
## Household_2_CA_2.l4 -0.0538726  0.0825694  -0.652 0.514191    
## Household_1_CA_3.l4 -0.0448607  0.0435217  -1.031 0.302786    
## Household_2_CA_3.l4  0.0036460  0.0736865   0.049 0.960542    
## Foods_1_CA_1.l4     -0.1538079  0.0771553  -1.993 0.046356 *  
## Foods_2_CA_1.l4     -0.1035432  0.0459285  -2.254 0.024286 *  
## Foods_3_CA_1.l4      0.0350512  0.0160227   2.188 0.028825 *  
## Foods_1_CA_2.l4      0.0710710  0.0959850   0.740 0.459129    
## Foods_2_CA_2.l4     -0.0240209  0.0713731  -0.337 0.736492    
## Foods_3_CA_2.l4     -0.0117926  0.0210472  -0.560 0.575349    
## Foods_1_CA_3.l4      0.0370628  0.0615513   0.602 0.547152    
## Foods_2_CA_3.l4     -0.0096900  0.0313505  -0.309 0.757290    
## Foods_3_CA_3.l4      0.0099631  0.0123269   0.808 0.419056    
## Hobbies_CA_1.l5      0.0096437  0.0276531   0.349 0.727325    
## Hobbies_CA_2.l5     -0.0077804  0.0348457  -0.223 0.823340    
## Hobbies_CA_3.l5      0.0665797  0.0263455   2.527 0.011582 *  
## Household_1_CA_1.l5 -0.0287121  0.0655326  -0.438 0.661340    
## Household_2_CA_1.l5  0.0386225  0.1072562   0.360 0.718817    
## Household_1_CA_2.l5 -0.1319933  0.0675655  -1.954 0.050905 .  
## Household_2_CA_2.l5  0.0978821  0.0823917   1.188 0.234984    
## Household_1_CA_3.l5  0.0398592  0.0437406   0.911 0.362276    
## Household_2_CA_3.l5 -0.0207541  0.0738036  -0.281 0.778583    
## Foods_1_CA_1.l5     -0.0513766  0.0774727  -0.663 0.507313    
## Foods_2_CA_1.l5      0.1083079  0.0460780   2.351 0.018852 *  
## Foods_3_CA_1.l5     -0.0232344  0.0160479  -1.448 0.147840    
## Foods_1_CA_2.l5      0.0383768  0.0965991   0.397 0.691208    
## Foods_2_CA_2.l5     -0.0973290  0.0714174  -1.363 0.173106    
## Foods_3_CA_2.l5      0.0097151  0.0210972   0.460 0.645218    
## Foods_1_CA_3.l5      0.0181676  0.0617814   0.294 0.768743    
## Foods_2_CA_3.l5     -0.0023041  0.0313826  -0.073 0.941479    
## Foods_3_CA_3.l5     -0.0041021  0.0123275  -0.333 0.739354    
## Hobbies_CA_1.l6     -0.0064638  0.0276602  -0.234 0.815254    
## Hobbies_CA_2.l6     -0.0214553  0.0348439  -0.616 0.538133    
## Hobbies_CA_3.l6      0.0450482  0.0263597   1.709 0.087623 .  
## Household_1_CA_1.l6  0.0677464  0.0654784   1.035 0.300975    
## Household_2_CA_1.l6  0.0002838  0.1069494   0.003 0.997883    
## Household_1_CA_2.l6  0.0073081  0.0673997   0.108 0.913667    
## Household_2_CA_2.l6  0.0448196  0.0825768   0.543 0.587359    
## Household_1_CA_3.l6  0.0719804  0.0436850   1.648 0.099583 .  
## Household_2_CA_3.l6  0.0602255  0.0736614   0.818 0.413693    
## Foods_1_CA_1.l6      0.0361241  0.0771325   0.468 0.639599    
## Foods_2_CA_1.l6     -0.0383531  0.0459357  -0.835 0.403866    
## Foods_3_CA_1.l6      0.0224189  0.0160828   1.394 0.163496    
## Foods_1_CA_2.l6      0.0388386  0.0959949   0.405 0.685826    
## Foods_2_CA_2.l6      0.1113849  0.0712006   1.564 0.117900    
## Foods_3_CA_2.l6     -0.0454447  0.0210870  -2.155 0.031283 *  
## Foods_1_CA_3.l6     -0.0372216  0.0616837  -0.603 0.546300    
## Foods_2_CA_3.l6     -0.0217243  0.0312043  -0.696 0.486394    
## Foods_3_CA_3.l6      0.0065454  0.0122037   0.536 0.591782    
## Hobbies_CA_1.l7     -0.0498301  0.0275508  -1.809 0.070667 .  
## Hobbies_CA_2.l7      0.0036014  0.0344825   0.104 0.916831    
## Hobbies_CA_3.l7      0.0523376  0.0262167   1.996 0.046044 *  
## Household_1_CA_1.l7  0.1403148  0.0644191   2.178 0.029521 *  
## Household_2_CA_1.l7 -0.0697244  0.1068916  -0.652 0.514296    
## Household_1_CA_2.l7  0.1716509  0.0649942   2.641 0.008336 ** 
## Household_2_CA_2.l7 -0.0040766  0.0811296  -0.050 0.959930    
## Household_1_CA_3.l7 -0.0516220  0.0416672  -1.239 0.215536    
## Household_2_CA_3.l7 -0.0074023  0.0736462  -0.101 0.919949    
## Foods_1_CA_1.l7      0.0514858  0.0739725   0.696 0.486509    
## Foods_2_CA_1.l7      0.0336969  0.0437763   0.770 0.441546    
## Foods_3_CA_1.l7      0.0186990  0.0155447   1.203 0.229163    
## Foods_1_CA_2.l7      0.0918289  0.0941885   0.975 0.329715    
## Foods_2_CA_2.l7     -0.0593673  0.0698457  -0.850 0.395449    
## Foods_3_CA_2.l7      0.0331894  0.0204415   1.624 0.104627    
## Foods_1_CA_3.l7     -0.0270741  0.0587895  -0.461 0.645193    
## Foods_2_CA_3.l7     -0.0110619  0.0291427  -0.380 0.704303    
## Foods_3_CA_3.l7     -0.0091245  0.0114435  -0.797 0.425349    
## const               74.7316041 22.5787062   3.310 0.000952 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 65.41 on 1835 degrees of freedom
## Multiple R-Squared: 0.5842,  Adjusted R-squared: 0.5556 
## F-statistic: 20.46 on 126 and 1835 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Household_1_CA_1: 
## ================================================= 
## Household_1_CA_1 = Hobbies_CA_1.l1 + Hobbies_CA_2.l1 + Hobbies_CA_3.l1 + Household_1_CA_1.l1 + Household_2_CA_1.l1 + Household_1_CA_2.l1 + Household_2_CA_2.l1 + Household_1_CA_3.l1 + Household_2_CA_3.l1 + Foods_1_CA_1.l1 + Foods_2_CA_1.l1 + Foods_3_CA_1.l1 + Foods_1_CA_2.l1 + Foods_2_CA_2.l1 + Foods_3_CA_2.l1 + Foods_1_CA_3.l1 + Foods_2_CA_3.l1 + Foods_3_CA_3.l1 + Hobbies_CA_1.l2 + Hobbies_CA_2.l2 + Hobbies_CA_3.l2 + Household_1_CA_1.l2 + Household_2_CA_1.l2 + Household_1_CA_2.l2 + Household_2_CA_2.l2 + Household_1_CA_3.l2 + Household_2_CA_3.l2 + Foods_1_CA_1.l2 + Foods_2_CA_1.l2 + Foods_3_CA_1.l2 + Foods_1_CA_2.l2 + Foods_2_CA_2.l2 + Foods_3_CA_2.l2 + Foods_1_CA_3.l2 + Foods_2_CA_3.l2 + Foods_3_CA_3.l2 + Hobbies_CA_1.l3 + Hobbies_CA_2.l3 + Hobbies_CA_3.l3 + Household_1_CA_1.l3 + Household_2_CA_1.l3 + Household_1_CA_2.l3 + Household_2_CA_2.l3 + Household_1_CA_3.l3 + Household_2_CA_3.l3 + Foods_1_CA_1.l3 + Foods_2_CA_1.l3 + Foods_3_CA_1.l3 + Foods_1_CA_2.l3 + Foods_2_CA_2.l3 + Foods_3_CA_2.l3 + Foods_1_CA_3.l3 + Foods_2_CA_3.l3 + Foods_3_CA_3.l3 + Hobbies_CA_1.l4 + Hobbies_CA_2.l4 + Hobbies_CA_3.l4 + Household_1_CA_1.l4 + Household_2_CA_1.l4 + Household_1_CA_2.l4 + Household_2_CA_2.l4 + Household_1_CA_3.l4 + Household_2_CA_3.l4 + Foods_1_CA_1.l4 + Foods_2_CA_1.l4 + Foods_3_CA_1.l4 + Foods_1_CA_2.l4 + Foods_2_CA_2.l4 + Foods_3_CA_2.l4 + Foods_1_CA_3.l4 + Foods_2_CA_3.l4 + Foods_3_CA_3.l4 + Hobbies_CA_1.l5 + Hobbies_CA_2.l5 + Hobbies_CA_3.l5 + Household_1_CA_1.l5 + Household_2_CA_1.l5 + Household_1_CA_2.l5 + Household_2_CA_2.l5 + Household_1_CA_3.l5 + Household_2_CA_3.l5 + Foods_1_CA_1.l5 + Foods_2_CA_1.l5 + Foods_3_CA_1.l5 + Foods_1_CA_2.l5 + Foods_2_CA_2.l5 + Foods_3_CA_2.l5 + Foods_1_CA_3.l5 + Foods_2_CA_3.l5 + Foods_3_CA_3.l5 + Hobbies_CA_1.l6 + Hobbies_CA_2.l6 + Hobbies_CA_3.l6 + Household_1_CA_1.l6 + Household_2_CA_1.l6 + Household_1_CA_2.l6 + Household_2_CA_2.l6 + Household_1_CA_3.l6 + Household_2_CA_3.l6 + Foods_1_CA_1.l6 + Foods_2_CA_1.l6 + Foods_3_CA_1.l6 + Foods_1_CA_2.l6 + Foods_2_CA_2.l6 + Foods_3_CA_2.l6 + Foods_1_CA_3.l6 + Foods_2_CA_3.l6 + Foods_3_CA_3.l6 + Hobbies_CA_1.l7 + Hobbies_CA_2.l7 + Hobbies_CA_3.l7 + Household_1_CA_1.l7 + Household_2_CA_1.l7 + Household_1_CA_2.l7 + Household_2_CA_2.l7 + Household_1_CA_3.l7 + Household_2_CA_3.l7 + Foods_1_CA_1.l7 + Foods_2_CA_1.l7 + Foods_3_CA_1.l7 + Foods_1_CA_2.l7 + Foods_2_CA_2.l7 + Foods_3_CA_2.l7 + Foods_1_CA_3.l7 + Foods_2_CA_3.l7 + Foods_3_CA_3.l7 + const 
## 
##                       Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_1.l1      8.985e-03  1.311e-02   0.685 0.493273    
## Hobbies_CA_2.l1     -6.194e-03  1.676e-02  -0.370 0.711717    
## Hobbies_CA_3.l1      1.937e-02  1.246e-02   1.555 0.120123    
## Household_1_CA_1.l1  2.011e-01  3.108e-02   6.471 1.25e-10 ***
## Household_2_CA_1.l1  1.553e-01  5.115e-02   3.035 0.002435 ** 
## Household_1_CA_2.l1  1.038e-01  3.114e-02   3.332 0.000878 ***
## Household_2_CA_2.l1  5.149e-03  3.888e-02   0.132 0.894656    
## Household_1_CA_3.l1  9.550e-02  2.003e-02   4.767 2.02e-06 ***
## Household_2_CA_3.l1 -5.714e-02  3.494e-02  -1.636 0.102088    
## Foods_1_CA_1.l1      4.522e-02  3.553e-02   1.273 0.203185    
## Foods_2_CA_1.l1     -3.660e-03  2.121e-02  -0.173 0.863016    
## Foods_3_CA_1.l1     -6.614e-03  7.316e-03  -0.904 0.366103    
## Foods_1_CA_2.l1     -5.469e-02  4.463e-02  -1.225 0.220576    
## Foods_2_CA_2.l1      1.209e-02  3.344e-02   0.362 0.717726    
## Foods_3_CA_2.l1     -7.623e-03  9.735e-03  -0.783 0.433696    
## Foods_1_CA_3.l1     -3.097e-02  2.841e-02  -1.090 0.275887    
## Foods_2_CA_3.l1      6.948e-03  1.401e-02   0.496 0.620126    
## Foods_3_CA_3.l1     -1.411e-02  5.509e-03  -2.561 0.010519 *  
## Hobbies_CA_1.l2      1.714e-02  1.321e-02   1.297 0.194817    
## Hobbies_CA_2.l2     -2.446e-02  1.666e-02  -1.469 0.142132    
## Hobbies_CA_3.l2      1.340e-02  1.258e-02   1.065 0.286909    
## Household_1_CA_1.l2  1.027e-01  3.151e-02   3.261 0.001132 ** 
## Household_2_CA_1.l2 -2.238e-02  5.147e-02  -0.435 0.663707    
## Household_1_CA_2.l2 -1.075e-01  3.190e-02  -3.372 0.000763 ***
## Household_2_CA_2.l2 -8.077e-02  3.919e-02  -2.061 0.039415 *  
## Household_1_CA_3.l2 -2.554e-02  2.078e-02  -1.229 0.219228    
## Household_2_CA_3.l2 -5.147e-02  3.507e-02  -1.468 0.142401    
## Foods_1_CA_1.l2     -2.279e-03  3.690e-02  -0.062 0.950751    
## Foods_2_CA_1.l2      3.165e-03  2.197e-02   0.144 0.885459    
## Foods_3_CA_1.l2     -8.275e-03  7.623e-03  -1.086 0.277838    
## Foods_1_CA_2.l2      8.909e-03  4.590e-02   0.194 0.846122    
## Foods_2_CA_2.l2     -2.906e-02  3.411e-02  -0.852 0.394274    
## Foods_3_CA_2.l2      1.497e-02  1.002e-02   1.493 0.135550    
## Foods_1_CA_3.l2      1.487e-02  2.967e-02   0.501 0.616355    
## Foods_2_CA_3.l2      2.764e-02  1.500e-02   1.843 0.065471 .  
## Foods_3_CA_3.l2      5.488e-05  5.863e-03   0.009 0.992533    
## Hobbies_CA_1.l3     -4.379e-03  1.323e-02  -0.331 0.740642    
## Hobbies_CA_2.l3     -3.080e-02  1.668e-02  -1.846 0.064984 .  
## Hobbies_CA_3.l3      4.579e-03  1.262e-02   0.363 0.716664    
## Household_1_CA_1.l3  2.387e-02  3.141e-02   0.760 0.447463    
## Household_2_CA_1.l3  5.622e-02  5.140e-02   1.094 0.274182    
## Household_1_CA_2.l3 -1.065e-02  3.217e-02  -0.331 0.740679    
## Household_2_CA_2.l3 -3.865e-02  3.939e-02  -0.981 0.326668    
## Household_1_CA_3.l3 -2.476e-02  2.094e-02  -1.183 0.237112    
## Household_2_CA_3.l3 -1.732e-03  3.521e-02  -0.049 0.960781    
## Foods_1_CA_1.l3     -4.697e-02  3.697e-02  -1.270 0.204151    
## Foods_2_CA_1.l3      2.695e-02  2.212e-02   1.218 0.223233    
## Foods_3_CA_1.l3     -4.607e-03  7.667e-03  -0.601 0.547961    
## Foods_1_CA_2.l3      9.869e-02  4.581e-02   2.154 0.031333 *  
## Foods_2_CA_2.l3      2.360e-02  3.417e-02   0.691 0.489886    
## Foods_3_CA_2.l3     -9.276e-03  1.011e-02  -0.917 0.359184    
## Foods_1_CA_3.l3      2.132e-03  2.960e-02   0.072 0.942571    
## Foods_2_CA_3.l3     -3.666e-02  1.501e-02  -2.442 0.014685 *  
## Foods_3_CA_3.l3      1.324e-02  5.883e-03   2.251 0.024501 *  
## Hobbies_CA_1.l4      1.235e-02  1.323e-02   0.934 0.350649    
## Hobbies_CA_2.l4     -1.774e-02  1.674e-02  -1.060 0.289430    
## Hobbies_CA_3.l4      9.442e-03  1.249e-02   0.756 0.449934    
## Household_1_CA_1.l4 -3.011e-02  3.143e-02  -0.958 0.338300    
## Household_2_CA_1.l4 -1.591e-02  5.122e-02  -0.311 0.756200    
## Household_1_CA_2.l4 -2.995e-02  3.236e-02  -0.925 0.354862    
## Household_2_CA_2.l4 -9.114e-02  3.953e-02  -2.306 0.021234 *  
## Household_1_CA_3.l4  4.127e-02  2.083e-02   1.981 0.047761 *  
## Household_2_CA_3.l4 -1.499e-02  3.527e-02  -0.425 0.670977    
## Foods_1_CA_1.l4     -3.358e-02  3.693e-02  -0.909 0.363374    
## Foods_2_CA_1.l4     -4.528e-02  2.199e-02  -2.060 0.039585 *  
## Foods_3_CA_1.l4      1.449e-02  7.670e-03   1.889 0.059058 .  
## Foods_1_CA_2.l4      3.955e-02  4.595e-02   0.861 0.389435    
## Foods_2_CA_2.l4     -5.584e-02  3.417e-02  -1.635 0.102325    
## Foods_3_CA_2.l4      1.108e-02  1.008e-02   1.099 0.271708    
## Foods_1_CA_3.l4     -1.792e-02  2.946e-02  -0.608 0.543114    
## Foods_2_CA_3.l4      2.844e-02  1.501e-02   1.895 0.058215 .  
## Foods_3_CA_3.l4     -8.518e-03  5.901e-03  -1.443 0.149067    
## Hobbies_CA_1.l5      4.013e-02  1.324e-02   3.032 0.002467 ** 
## Hobbies_CA_2.l5      7.091e-03  1.668e-02   0.425 0.670821    
## Hobbies_CA_3.l5      5.688e-03  1.261e-02   0.451 0.652054    
## Household_1_CA_1.l5  8.380e-02  3.137e-02   2.671 0.007622 ** 
## Household_2_CA_1.l5 -2.350e-03  5.134e-02  -0.046 0.963503    
## Household_1_CA_2.l5 -5.516e-02  3.234e-02  -1.705 0.088283 .  
## Household_2_CA_2.l5 -1.284e-02  3.944e-02  -0.326 0.744775    
## Household_1_CA_3.l5  1.450e-02  2.094e-02   0.693 0.488624    
## Household_2_CA_3.l5 -4.934e-02  3.533e-02  -1.397 0.162696    
## Foods_1_CA_1.l5     -4.128e-03  3.709e-02  -0.111 0.911390    
## Foods_2_CA_1.l5      5.828e-02  2.206e-02   2.642 0.008307 ** 
## Foods_3_CA_1.l5     -2.619e-02  7.682e-03  -3.409 0.000665 ***
## Foods_1_CA_2.l5      2.623e-03  4.624e-02   0.057 0.954780    
## Foods_2_CA_2.l5     -3.619e-02  3.419e-02  -1.059 0.289899    
## Foods_3_CA_2.l5     -1.270e-02  1.010e-02  -1.258 0.208586    
## Foods_1_CA_3.l5     -1.067e-02  2.957e-02  -0.361 0.718314    
## Foods_2_CA_3.l5      1.113e-02  1.502e-02   0.741 0.458869    
## Foods_3_CA_3.l5      4.900e-03  5.901e-03   0.830 0.406415    
## Hobbies_CA_1.l6     -3.979e-02  1.324e-02  -3.005 0.002691 ** 
## Hobbies_CA_2.l6     -1.222e-02  1.668e-02  -0.733 0.463919    
## Hobbies_CA_3.l6      1.497e-02  1.262e-02   1.186 0.235713    
## Household_1_CA_1.l6  8.755e-02  3.134e-02   2.793 0.005271 ** 
## Household_2_CA_1.l6  3.269e-02  5.120e-02   0.639 0.523188    
## Household_1_CA_2.l6 -2.289e-02  3.226e-02  -0.710 0.478090    
## Household_2_CA_2.l6  4.402e-02  3.953e-02   1.114 0.265605    
## Household_1_CA_3.l6  5.298e-02  2.091e-02   2.534 0.011373 *  
## Household_2_CA_3.l6  2.163e-02  3.526e-02   0.613 0.539754    
## Foods_1_CA_1.l6     -1.981e-02  3.692e-02  -0.537 0.591603    
## Foods_2_CA_1.l6     -1.968e-02  2.199e-02  -0.895 0.370900    
## Foods_3_CA_1.l6      9.260e-03  7.699e-03   1.203 0.229220    
## Foods_1_CA_2.l6      2.067e-02  4.595e-02   0.450 0.652868    
## Foods_2_CA_2.l6     -1.793e-02  3.408e-02  -0.526 0.598966    
## Foods_3_CA_2.l6     -9.296e-03  1.009e-02  -0.921 0.357237    
## Foods_1_CA_3.l6     -3.062e-02  2.953e-02  -1.037 0.299855    
## Foods_2_CA_3.l6     -2.225e-02  1.494e-02  -1.489 0.136595    
## Foods_3_CA_3.l6      7.782e-03  5.842e-03   1.332 0.182989    
## Hobbies_CA_1.l7     -9.632e-03  1.319e-02  -0.730 0.465302    
## Hobbies_CA_2.l7     -7.182e-03  1.651e-02  -0.435 0.663561    
## Hobbies_CA_3.l7     -7.043e-03  1.255e-02  -0.561 0.574742    
## Household_1_CA_1.l7  9.989e-02  3.084e-02   3.239 0.001220 ** 
## Household_2_CA_1.l7 -5.433e-02  5.117e-02  -1.062 0.288486    
## Household_1_CA_2.l7  1.764e-01  3.111e-02   5.671 1.65e-08 ***
## Household_2_CA_2.l7  8.602e-02  3.884e-02   2.215 0.026896 *  
## Household_1_CA_3.l7 -9.151e-03  1.995e-02  -0.459 0.646427    
## Household_2_CA_3.l7  5.517e-02  3.525e-02   1.565 0.117751    
## Foods_1_CA_1.l7     -7.849e-02  3.541e-02  -2.216 0.026782 *  
## Foods_2_CA_1.l7      1.454e-02  2.096e-02   0.694 0.487803    
## Foods_3_CA_1.l7      2.389e-02  7.441e-03   3.210 0.001351 ** 
## Foods_1_CA_2.l7      1.048e-01  4.509e-02   2.325 0.020204 *  
## Foods_2_CA_2.l7     -3.810e-02  3.344e-02  -1.139 0.254645    
## Foods_3_CA_2.l7      1.576e-02  9.785e-03   1.610 0.107482    
## Foods_1_CA_3.l7     -4.955e-02  2.814e-02  -1.761 0.078469 .  
## Foods_2_CA_3.l7     -8.383e-03  1.395e-02  -0.601 0.547965    
## Foods_3_CA_3.l7     -3.218e-03  5.478e-03  -0.587 0.556968    
## const                6.417e+01  1.081e+01   5.937 3.46e-09 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 31.31 on 1835 degrees of freedom
## Multiple R-Squared: 0.8202,  Adjusted R-squared: 0.8079 
## F-statistic: 66.45 on 126 and 1835 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Household_2_CA_1: 
## ================================================= 
## Household_2_CA_1 = Hobbies_CA_1.l1 + Hobbies_CA_2.l1 + Hobbies_CA_3.l1 + Household_1_CA_1.l1 + Household_2_CA_1.l1 + Household_1_CA_2.l1 + Household_2_CA_2.l1 + Household_1_CA_3.l1 + Household_2_CA_3.l1 + Foods_1_CA_1.l1 + Foods_2_CA_1.l1 + Foods_3_CA_1.l1 + Foods_1_CA_2.l1 + Foods_2_CA_2.l1 + Foods_3_CA_2.l1 + Foods_1_CA_3.l1 + Foods_2_CA_3.l1 + Foods_3_CA_3.l1 + Hobbies_CA_1.l2 + Hobbies_CA_2.l2 + Hobbies_CA_3.l2 + Household_1_CA_1.l2 + Household_2_CA_1.l2 + Household_1_CA_2.l2 + Household_2_CA_2.l2 + Household_1_CA_3.l2 + Household_2_CA_3.l2 + Foods_1_CA_1.l2 + Foods_2_CA_1.l2 + Foods_3_CA_1.l2 + Foods_1_CA_2.l2 + Foods_2_CA_2.l2 + Foods_3_CA_2.l2 + Foods_1_CA_3.l2 + Foods_2_CA_3.l2 + Foods_3_CA_3.l2 + Hobbies_CA_1.l3 + Hobbies_CA_2.l3 + Hobbies_CA_3.l3 + Household_1_CA_1.l3 + Household_2_CA_1.l3 + Household_1_CA_2.l3 + Household_2_CA_2.l3 + Household_1_CA_3.l3 + Household_2_CA_3.l3 + Foods_1_CA_1.l3 + Foods_2_CA_1.l3 + Foods_3_CA_1.l3 + Foods_1_CA_2.l3 + Foods_2_CA_2.l3 + Foods_3_CA_2.l3 + Foods_1_CA_3.l3 + Foods_2_CA_3.l3 + Foods_3_CA_3.l3 + Hobbies_CA_1.l4 + Hobbies_CA_2.l4 + Hobbies_CA_3.l4 + Household_1_CA_1.l4 + Household_2_CA_1.l4 + Household_1_CA_2.l4 + Household_2_CA_2.l4 + Household_1_CA_3.l4 + Household_2_CA_3.l4 + Foods_1_CA_1.l4 + Foods_2_CA_1.l4 + Foods_3_CA_1.l4 + Foods_1_CA_2.l4 + Foods_2_CA_2.l4 + Foods_3_CA_2.l4 + Foods_1_CA_3.l4 + Foods_2_CA_3.l4 + Foods_3_CA_3.l4 + Hobbies_CA_1.l5 + Hobbies_CA_2.l5 + Hobbies_CA_3.l5 + Household_1_CA_1.l5 + Household_2_CA_1.l5 + Household_1_CA_2.l5 + Household_2_CA_2.l5 + Household_1_CA_3.l5 + Household_2_CA_3.l5 + Foods_1_CA_1.l5 + Foods_2_CA_1.l5 + Foods_3_CA_1.l5 + Foods_1_CA_2.l5 + Foods_2_CA_2.l5 + Foods_3_CA_2.l5 + Foods_1_CA_3.l5 + Foods_2_CA_3.l5 + Foods_3_CA_3.l5 + Hobbies_CA_1.l6 + Hobbies_CA_2.l6 + Hobbies_CA_3.l6 + Household_1_CA_1.l6 + Household_2_CA_1.l6 + Household_1_CA_2.l6 + Household_2_CA_2.l6 + Household_1_CA_3.l6 + Household_2_CA_3.l6 + Foods_1_CA_1.l6 + Foods_2_CA_1.l6 + Foods_3_CA_1.l6 + Foods_1_CA_2.l6 + Foods_2_CA_2.l6 + Foods_3_CA_2.l6 + Foods_1_CA_3.l6 + Foods_2_CA_3.l6 + Foods_3_CA_3.l6 + Hobbies_CA_1.l7 + Hobbies_CA_2.l7 + Hobbies_CA_3.l7 + Household_1_CA_1.l7 + Household_2_CA_1.l7 + Household_1_CA_2.l7 + Household_2_CA_2.l7 + Household_1_CA_3.l7 + Household_2_CA_3.l7 + Foods_1_CA_1.l7 + Foods_2_CA_1.l7 + Foods_3_CA_1.l7 + Foods_1_CA_2.l7 + Foods_2_CA_2.l7 + Foods_3_CA_2.l7 + Foods_1_CA_3.l7 + Foods_2_CA_3.l7 + Foods_3_CA_3.l7 + const 
## 
##                       Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_1.l1      1.261e-02  7.211e-03   1.749 0.080479 .  
## Hobbies_CA_2.l1     -4.188e-03  9.216e-03  -0.454 0.649575    
## Hobbies_CA_3.l1     -1.094e-03  6.851e-03  -0.160 0.873115    
## Household_1_CA_1.l1  6.967e-03  1.709e-02   0.408 0.683575    
## Household_2_CA_1.l1  2.053e-01  2.813e-02   7.298 4.34e-13 ***
## Household_1_CA_2.l1  9.040e-03  1.713e-02   0.528 0.597666    
## Household_2_CA_2.l1 -9.685e-03  2.138e-02  -0.453 0.650610    
## Household_1_CA_3.l1  2.609e-02  1.102e-02   2.369 0.017956 *  
## Household_2_CA_3.l1 -8.778e-03  1.921e-02  -0.457 0.647825    
## Foods_1_CA_1.l1      2.869e-02  1.954e-02   1.468 0.142167    
## Foods_2_CA_1.l1     -2.272e-03  1.166e-02  -0.195 0.845546    
## Foods_3_CA_1.l1     -4.013e-04  4.024e-03  -0.100 0.920572    
## Foods_1_CA_2.l1     -4.973e-02  2.454e-02  -2.026 0.042896 *  
## Foods_2_CA_2.l1      1.384e-02  1.839e-02   0.753 0.451577    
## Foods_3_CA_2.l1      5.275e-03  5.354e-03   0.985 0.324587    
## Foods_1_CA_3.l1     -3.352e-03  1.563e-02  -0.214 0.830192    
## Foods_2_CA_3.l1     -5.896e-03  7.707e-03  -0.765 0.444388    
## Foods_3_CA_3.l1     -5.251e-03  3.030e-03  -1.733 0.083228 .  
## Hobbies_CA_1.l2      9.160e-03  7.267e-03   1.261 0.207631    
## Hobbies_CA_2.l2     -2.121e-02  9.161e-03  -2.315 0.020725 *  
## Hobbies_CA_3.l2      1.354e-02  6.916e-03   1.958 0.050423 .  
## Household_1_CA_1.l2  2.425e-03  1.733e-02   0.140 0.888702    
## Household_2_CA_1.l2  7.251e-02  2.831e-02   2.562 0.010499 *  
## Household_1_CA_2.l2 -4.918e-02  1.754e-02  -2.804 0.005106 ** 
## Household_2_CA_2.l2 -5.479e-02  2.155e-02  -2.543 0.011086 *  
## Household_1_CA_3.l2 -4.268e-02  1.143e-02  -3.734 0.000194 ***
## Household_2_CA_3.l2 -4.180e-03  1.929e-02  -0.217 0.828441    
## Foods_1_CA_1.l2     -4.455e-03  2.029e-02  -0.220 0.826256    
## Foods_2_CA_1.l2     -7.916e-04  1.208e-02  -0.066 0.947764    
## Foods_3_CA_1.l2     -4.980e-03  4.192e-03  -1.188 0.235021    
## Foods_1_CA_2.l2      5.319e-02  2.524e-02   2.107 0.035225 *  
## Foods_2_CA_2.l2     -8.883e-03  1.876e-02  -0.474 0.635884    
## Foods_3_CA_2.l2      2.406e-03  5.512e-03   0.437 0.662525    
## Foods_1_CA_3.l2      1.397e-02  1.632e-02   0.856 0.391890    
## Foods_2_CA_3.l2      7.883e-04  8.248e-03   0.096 0.923867    
## Foods_3_CA_3.l2      7.541e-03  3.224e-03   2.339 0.019452 *  
## Hobbies_CA_1.l3      3.643e-03  7.274e-03   0.501 0.616506    
## Hobbies_CA_2.l3     -1.315e-02  9.174e-03  -1.434 0.151838    
## Hobbies_CA_3.l3      8.868e-04  6.938e-03   0.128 0.898303    
## Household_1_CA_1.l3  7.811e-03  1.728e-02   0.452 0.651224    
## Household_2_CA_1.l3  7.863e-02  2.827e-02   2.782 0.005460 ** 
## Household_1_CA_2.l3 -6.814e-03  1.769e-02  -0.385 0.700176    
## Household_2_CA_2.l3  9.653e-03  2.166e-02   0.446 0.655967    
## Household_1_CA_3.l3  2.345e-03  1.151e-02   0.204 0.838643    
## Household_2_CA_3.l3  3.002e-02  1.937e-02   1.550 0.121254    
## Foods_1_CA_1.l3      3.613e-03  2.033e-02   0.178 0.858976    
## Foods_2_CA_1.l3      7.480e-04  1.216e-02   0.061 0.950973    
## Foods_3_CA_1.l3     -6.277e-03  4.216e-03  -1.489 0.136756    
## Foods_1_CA_2.l3     -5.197e-03  2.519e-02  -0.206 0.836564    
## Foods_2_CA_2.l3     -1.756e-02  1.879e-02  -0.934 0.350202    
## Foods_3_CA_2.l3     -1.074e-03  5.562e-03  -0.193 0.846924    
## Foods_1_CA_3.l3      1.216e-04  1.628e-02   0.007 0.994041    
## Foods_2_CA_3.l3      2.778e-03  8.254e-03   0.337 0.736488    
## Foods_3_CA_3.l3     -2.656e-03  3.236e-03  -0.821 0.411886    
## Hobbies_CA_1.l4      4.960e-03  7.276e-03   0.682 0.495573    
## Hobbies_CA_2.l4     -6.806e-03  9.206e-03  -0.739 0.459789    
## Hobbies_CA_3.l4      9.020e-03  6.871e-03   1.313 0.189453    
## Household_1_CA_1.l4 -2.833e-02  1.729e-02  -1.639 0.101442    
## Household_2_CA_1.l4  8.467e-02  2.817e-02   3.006 0.002687 ** 
## Household_1_CA_2.l4 -1.460e-02  1.780e-02  -0.820 0.412077    
## Household_2_CA_2.l4 -4.590e-03  2.174e-02  -0.211 0.832786    
## Household_1_CA_3.l4  4.477e-03  1.146e-02   0.391 0.696018    
## Household_2_CA_3.l4 -2.804e-02  1.940e-02  -1.446 0.148471    
## Foods_1_CA_1.l4     -2.788e-02  2.031e-02  -1.373 0.169974    
## Foods_2_CA_1.l4      1.024e-02  1.209e-02   0.847 0.397351    
## Foods_3_CA_1.l4     -4.260e-04  4.218e-03  -0.101 0.919567    
## Foods_1_CA_2.l4      3.883e-02  2.527e-02   1.537 0.124552    
## Foods_2_CA_2.l4      2.815e-03  1.879e-02   0.150 0.880930    
## Foods_3_CA_2.l4      2.823e-03  5.541e-03   0.510 0.610426    
## Foods_1_CA_3.l4     -3.280e-02  1.620e-02  -2.024 0.043119 *  
## Foods_2_CA_3.l4      2.398e-03  8.253e-03   0.291 0.771405    
## Foods_3_CA_3.l4      9.718e-04  3.245e-03   0.299 0.764622    
## Hobbies_CA_1.l5     -2.185e-03  7.280e-03  -0.300 0.764122    
## Hobbies_CA_2.l5      3.371e-03  9.173e-03   0.368 0.713268    
## Hobbies_CA_3.l5      3.645e-03  6.936e-03   0.526 0.599238    
## Household_1_CA_1.l5  4.005e-02  1.725e-02   2.321 0.020376 *  
## Household_2_CA_1.l5  1.864e-02  2.824e-02   0.660 0.509140    
## Household_1_CA_2.l5 -3.702e-02  1.779e-02  -2.081 0.037567 *  
## Household_2_CA_2.l5  1.067e-03  2.169e-02   0.049 0.960788    
## Household_1_CA_3.l5  1.291e-02  1.152e-02   1.121 0.262272    
## Household_2_CA_3.l5  1.468e-02  1.943e-02   0.755 0.450082    
## Foods_1_CA_1.l5      3.015e-02  2.040e-02   1.478 0.139463    
## Foods_2_CA_1.l5      1.515e-02  1.213e-02   1.249 0.211847    
## Foods_3_CA_1.l5     -1.215e-02  4.225e-03  -2.876 0.004068 ** 
## Foods_1_CA_2.l5      2.272e-02  2.543e-02   0.894 0.371704    
## Foods_2_CA_2.l5     -1.874e-02  1.880e-02  -0.997 0.319058    
## Foods_3_CA_2.l5     -1.020e-02  5.554e-03  -1.837 0.066363 .  
## Foods_1_CA_3.l5     -3.347e-04  1.626e-02  -0.021 0.983584    
## Foods_2_CA_3.l5     -5.267e-03  8.262e-03  -0.637 0.523886    
## Foods_3_CA_3.l5      4.460e-03  3.245e-03   1.374 0.169513    
## Hobbies_CA_1.l6     -1.409e-02  7.282e-03  -1.935 0.053155 .  
## Hobbies_CA_2.l6     -3.837e-03  9.173e-03  -0.418 0.675739    
## Hobbies_CA_3.l6     -3.361e-03  6.939e-03  -0.484 0.628193    
## Household_1_CA_1.l6 -3.816e-02  1.724e-02  -2.214 0.026966 *  
## Household_2_CA_1.l6  1.173e-01  2.816e-02   4.165 3.26e-05 ***
## Household_1_CA_2.l6  1.752e-02  1.774e-02   0.987 0.323634    
## Household_2_CA_2.l6  3.771e-02  2.174e-02   1.735 0.082969 .  
## Household_1_CA_3.l6  2.107e-02  1.150e-02   1.832 0.067096 .  
## Household_2_CA_3.l6  5.582e-02  1.939e-02   2.879 0.004040 ** 
## Foods_1_CA_1.l6      6.037e-03  2.031e-02   0.297 0.766286    
## Foods_2_CA_1.l6     -7.277e-03  1.209e-02  -0.602 0.547403    
## Foods_3_CA_1.l6      7.307e-03  4.234e-03   1.726 0.084547 .  
## Foods_1_CA_2.l6     -8.912e-03  2.527e-02  -0.353 0.724379    
## Foods_2_CA_2.l6      1.973e-02  1.874e-02   1.053 0.292648    
## Foods_3_CA_2.l6     -7.371e-03  5.551e-03  -1.328 0.184428    
## Foods_1_CA_3.l6      2.204e-02  1.624e-02   1.357 0.174922    
## Foods_2_CA_3.l6     -1.949e-02  8.215e-03  -2.373 0.017745 *  
## Foods_3_CA_3.l6      1.168e-03  3.213e-03   0.363 0.716306    
## Hobbies_CA_1.l7      2.946e-03  7.253e-03   0.406 0.684643    
## Hobbies_CA_2.l7      4.602e-03  9.078e-03   0.507 0.612247    
## Hobbies_CA_3.l7     -2.541e-04  6.902e-03  -0.037 0.970631    
## Household_1_CA_1.l7  5.362e-03  1.696e-02   0.316 0.751905    
## Household_2_CA_1.l7  1.276e-01  2.814e-02   4.534 6.17e-06 ***
## Household_1_CA_2.l7  6.551e-02  1.711e-02   3.829 0.000133 ***
## Household_2_CA_2.l7  3.227e-02  2.136e-02   1.511 0.131002    
## Household_1_CA_3.l7 -1.502e-02  1.097e-02  -1.369 0.171187    
## Household_2_CA_3.l7  1.163e-02  1.939e-02   0.600 0.548620    
## Foods_1_CA_1.l7     -7.105e-02  1.947e-02  -3.649 0.000271 ***
## Foods_2_CA_1.l7      2.904e-05  1.152e-02   0.003 0.997990    
## Foods_3_CA_1.l7      1.037e-02  4.092e-03   2.535 0.011323 *  
## Foods_1_CA_2.l7      5.113e-02  2.480e-02   2.062 0.039362 *  
## Foods_2_CA_2.l7     -1.154e-02  1.839e-02  -0.627 0.530436    
## Foods_3_CA_2.l7      1.169e-03  5.381e-03   0.217 0.828087    
## Foods_1_CA_3.l7     -2.803e-02  1.548e-02  -1.811 0.070327 .  
## Foods_2_CA_3.l7      1.848e-02  7.672e-03   2.408 0.016122 *  
## Foods_3_CA_3.l7     -2.428e-04  3.013e-03  -0.081 0.935773    
## const                2.374e+01  5.944e+00   3.994 6.75e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 17.22 on 1835 degrees of freedom
## Multiple R-Squared: 0.7327,  Adjusted R-squared: 0.7143 
## F-statistic: 39.92 on 126 and 1835 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Household_1_CA_2: 
## ================================================= 
## Household_1_CA_2 = Hobbies_CA_1.l1 + Hobbies_CA_2.l1 + Hobbies_CA_3.l1 + Household_1_CA_1.l1 + Household_2_CA_1.l1 + Household_1_CA_2.l1 + Household_2_CA_2.l1 + Household_1_CA_3.l1 + Household_2_CA_3.l1 + Foods_1_CA_1.l1 + Foods_2_CA_1.l1 + Foods_3_CA_1.l1 + Foods_1_CA_2.l1 + Foods_2_CA_2.l1 + Foods_3_CA_2.l1 + Foods_1_CA_3.l1 + Foods_2_CA_3.l1 + Foods_3_CA_3.l1 + Hobbies_CA_1.l2 + Hobbies_CA_2.l2 + Hobbies_CA_3.l2 + Household_1_CA_1.l2 + Household_2_CA_1.l2 + Household_1_CA_2.l2 + Household_2_CA_2.l2 + Household_1_CA_3.l2 + Household_2_CA_3.l2 + Foods_1_CA_1.l2 + Foods_2_CA_1.l2 + Foods_3_CA_1.l2 + Foods_1_CA_2.l2 + Foods_2_CA_2.l2 + Foods_3_CA_2.l2 + Foods_1_CA_3.l2 + Foods_2_CA_3.l2 + Foods_3_CA_3.l2 + Hobbies_CA_1.l3 + Hobbies_CA_2.l3 + Hobbies_CA_3.l3 + Household_1_CA_1.l3 + Household_2_CA_1.l3 + Household_1_CA_2.l3 + Household_2_CA_2.l3 + Household_1_CA_3.l3 + Household_2_CA_3.l3 + Foods_1_CA_1.l3 + Foods_2_CA_1.l3 + Foods_3_CA_1.l3 + Foods_1_CA_2.l3 + Foods_2_CA_2.l3 + Foods_3_CA_2.l3 + Foods_1_CA_3.l3 + Foods_2_CA_3.l3 + Foods_3_CA_3.l3 + Hobbies_CA_1.l4 + Hobbies_CA_2.l4 + Hobbies_CA_3.l4 + Household_1_CA_1.l4 + Household_2_CA_1.l4 + Household_1_CA_2.l4 + Household_2_CA_2.l4 + Household_1_CA_3.l4 + Household_2_CA_3.l4 + Foods_1_CA_1.l4 + Foods_2_CA_1.l4 + Foods_3_CA_1.l4 + Foods_1_CA_2.l4 + Foods_2_CA_2.l4 + Foods_3_CA_2.l4 + Foods_1_CA_3.l4 + Foods_2_CA_3.l4 + Foods_3_CA_3.l4 + Hobbies_CA_1.l5 + Hobbies_CA_2.l5 + Hobbies_CA_3.l5 + Household_1_CA_1.l5 + Household_2_CA_1.l5 + Household_1_CA_2.l5 + Household_2_CA_2.l5 + Household_1_CA_3.l5 + Household_2_CA_3.l5 + Foods_1_CA_1.l5 + Foods_2_CA_1.l5 + Foods_3_CA_1.l5 + Foods_1_CA_2.l5 + Foods_2_CA_2.l5 + Foods_3_CA_2.l5 + Foods_1_CA_3.l5 + Foods_2_CA_3.l5 + Foods_3_CA_3.l5 + Hobbies_CA_1.l6 + Hobbies_CA_2.l6 + Hobbies_CA_3.l6 + Household_1_CA_1.l6 + Household_2_CA_1.l6 + Household_1_CA_2.l6 + Household_2_CA_2.l6 + Household_1_CA_3.l6 + Household_2_CA_3.l6 + Foods_1_CA_1.l6 + Foods_2_CA_1.l6 + Foods_3_CA_1.l6 + Foods_1_CA_2.l6 + Foods_2_CA_2.l6 + Foods_3_CA_2.l6 + Foods_1_CA_3.l6 + Foods_2_CA_3.l6 + Foods_3_CA_3.l6 + Hobbies_CA_1.l7 + Hobbies_CA_2.l7 + Hobbies_CA_3.l7 + Household_1_CA_1.l7 + Household_2_CA_1.l7 + Household_1_CA_2.l7 + Household_2_CA_2.l7 + Household_1_CA_3.l7 + Household_2_CA_3.l7 + Foods_1_CA_1.l7 + Foods_2_CA_1.l7 + Foods_3_CA_1.l7 + Foods_1_CA_2.l7 + Foods_2_CA_2.l7 + Foods_3_CA_2.l7 + Foods_1_CA_3.l7 + Foods_2_CA_3.l7 + Foods_3_CA_3.l7 + const 
## 
##                       Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_1.l1     -0.0066603  0.0133097  -0.500 0.616847    
## Hobbies_CA_2.l1      0.0206903  0.0170109   1.216 0.224030    
## Hobbies_CA_3.l1     -0.0227662  0.0126444  -1.800 0.071946 .  
## Household_1_CA_1.l1  0.0208750  0.0315456   0.662 0.508220    
## Household_2_CA_1.l1  0.0805952  0.0519150   1.552 0.120728    
## Household_1_CA_2.l1  0.2377737  0.0316080   7.523 8.36e-14 ***
## Household_2_CA_2.l1  0.0234774  0.0394620   0.595 0.551959    
## Household_1_CA_3.l1  0.0512029  0.0203330   2.518 0.011880 *  
## Household_2_CA_3.l1 -0.0875279  0.0354616  -2.468 0.013668 *  
## Foods_1_CA_1.l1      0.0295512  0.0360603   0.819 0.412610    
## Foods_2_CA_1.l1     -0.0135297  0.0215268  -0.629 0.529750    
## Foods_3_CA_1.l1     -0.0083774  0.0074263  -1.128 0.259438    
## Foods_1_CA_2.l1     -0.0717638  0.0452991  -1.584 0.113316    
## Foods_2_CA_2.l1      0.0191022  0.0339381   0.563 0.573604    
## Foods_3_CA_2.l1      0.0194527  0.0098811   1.969 0.049140 *  
## Foods_1_CA_3.l1     -0.0489929  0.0288411  -1.699 0.089542 .  
## Foods_2_CA_3.l1      0.0230668  0.0142248   1.622 0.105063    
## Foods_3_CA_3.l1     -0.0193131  0.0055922  -3.454 0.000566 ***
## Hobbies_CA_1.l2      0.0085776  0.0134121   0.640 0.522548    
## Hobbies_CA_2.l2     -0.0140021  0.0169093  -0.828 0.407735    
## Hobbies_CA_3.l2     -0.0005428  0.0127648  -0.043 0.966085    
## Household_1_CA_1.l2  0.0404387  0.0319811   1.264 0.206227    
## Household_2_CA_1.l2  0.0038268  0.0522458   0.073 0.941618    
## Household_1_CA_2.l2 -0.0214834  0.0323761  -0.664 0.507057    
## Household_2_CA_2.l2 -0.0700601  0.0397744  -1.761 0.078331 .  
## Household_1_CA_3.l2 -0.0323769  0.0210957  -1.535 0.125015    
## Household_2_CA_3.l2 -0.0695953  0.0355990  -1.955 0.050738 .  
## Foods_1_CA_1.l2      0.0137432  0.0374549   0.367 0.713715    
## Foods_2_CA_1.l2      0.0056102  0.0222989   0.252 0.801385    
## Foods_3_CA_1.l2     -0.0130951  0.0077373  -1.692 0.090727 .  
## Foods_1_CA_2.l2     -0.0254140  0.0465886  -0.545 0.585477    
## Foods_2_CA_2.l2     -0.0240678  0.0346228  -0.695 0.487053    
## Foods_3_CA_2.l2      0.0009010  0.0101735   0.089 0.929439    
## Foods_1_CA_3.l2      0.0268840  0.0301152   0.893 0.372131    
## Foods_2_CA_3.l2     -0.0176209  0.0152226  -1.158 0.247196    
## Foods_3_CA_3.l2      0.0143480  0.0059510   2.411 0.016005 *  
## Hobbies_CA_1.l3      0.0024701  0.0134254   0.184 0.854047    
## Hobbies_CA_2.l3      0.0105598  0.0169334   0.624 0.532961    
## Hobbies_CA_3.l3      0.0065008  0.0128048   0.508 0.611735    
## Household_1_CA_1.l3 -0.0500043  0.0318872  -1.568 0.117016    
## Household_2_CA_1.l3  0.0126012  0.0521728   0.242 0.809173    
## Household_1_CA_2.l3  0.0890146  0.0326560   2.726 0.006475 ** 
## Household_2_CA_2.l3  0.0171125  0.0399868   0.428 0.668735    
## Household_1_CA_3.l3 -0.0130284  0.0212503  -0.613 0.539893    
## Household_2_CA_3.l3 -0.0002635  0.0357427  -0.007 0.994119    
## Foods_1_CA_1.l3     -0.0287054  0.0375308  -0.765 0.444460    
## Foods_2_CA_1.l3      0.0154896  0.0224520   0.690 0.490347    
## Foods_3_CA_1.l3     -0.0001594  0.0077823  -0.020 0.983659    
## Foods_1_CA_2.l3      0.0761669  0.0464939   1.638 0.101549    
## Foods_2_CA_2.l3     -0.0369376  0.0346857  -1.065 0.287051    
## Foods_3_CA_2.l3     -0.0095211  0.0102665  -0.927 0.353843    
## Foods_1_CA_3.l3      0.0135991  0.0300401   0.453 0.650819    
## Foods_2_CA_3.l3     -0.0086335  0.0152343  -0.567 0.570978    
## Foods_3_CA_3.l3      0.0019950  0.0059719   0.334 0.738375    
## Hobbies_CA_1.l4      0.0191809  0.0134300   1.428 0.153401    
## Hobbies_CA_2.l4     -0.0097493  0.0169909  -0.574 0.566175    
## Hobbies_CA_3.l4      0.0225279  0.0126823   1.776 0.075844 .  
## Household_1_CA_1.l4 -0.0669153  0.0319055  -2.097 0.036104 *  
## Household_2_CA_1.l4 -0.0515408  0.0519934  -0.991 0.321673    
## Household_1_CA_2.l4  0.0309216  0.0328464   0.941 0.346623    
## Household_2_CA_2.l4 -0.0643336  0.0401203  -1.604 0.108992    
## Household_1_CA_3.l4 -0.0148883  0.0211471  -0.704 0.481502    
## Household_2_CA_3.l4 -0.0584799  0.0358041  -1.633 0.102571    
## Foods_1_CA_1.l4     -0.0598140  0.0374896  -1.595 0.110777    
## Foods_2_CA_1.l4     -0.0085439  0.0223165  -0.383 0.701876    
## Foods_3_CA_1.l4      0.0083986  0.0077854   1.079 0.280837    
## Foods_1_CA_2.l4      0.0897844  0.0466389   1.925 0.054372 .  
## Foods_2_CA_2.l4     -0.0042284  0.0346800  -0.122 0.902972    
## Foods_3_CA_2.l4      0.0004242  0.0102268   0.041 0.966921    
## Foods_1_CA_3.l4      0.0129695  0.0299076   0.434 0.664593    
## Foods_2_CA_3.l4      0.0107865  0.0152331   0.708 0.478976    
## Foods_3_CA_3.l4      0.0002298  0.0059896   0.038 0.969402    
## Hobbies_CA_1.l5      0.0096556  0.0134366   0.719 0.472474    
## Hobbies_CA_2.l5      0.0245689  0.0169314   1.451 0.146928    
## Hobbies_CA_3.l5     -0.0123712  0.0128012  -0.966 0.333969    
## Household_1_CA_1.l5 -0.0027323  0.0318421  -0.086 0.931628    
## Household_2_CA_1.l5  0.0483597  0.0521155   0.928 0.353565    
## Household_1_CA_2.l5  0.0310010  0.0328299   0.944 0.345145    
## Household_2_CA_2.l5 -0.0847199  0.0400339  -2.116 0.034462 *  
## Household_1_CA_3.l5  0.0701542  0.0212534   3.301 0.000982 ***
## Household_2_CA_3.l5  0.0082614  0.0358610   0.230 0.817827    
## Foods_1_CA_1.l5      0.0392604  0.0376438   1.043 0.297111    
## Foods_2_CA_1.l5      0.0277870  0.0223892   1.241 0.214732    
## Foods_3_CA_1.l5     -0.0267818  0.0077976  -3.435 0.000607 ***
## Foods_1_CA_2.l5     -0.0398752  0.0469373  -0.850 0.395691    
## Foods_2_CA_2.l5     -0.0106961  0.0347015  -0.308 0.757942    
## Foods_3_CA_2.l5     -0.0120845  0.0102511  -1.179 0.238611    
## Foods_1_CA_3.l5     -0.0043845  0.0300194  -0.146 0.883894    
## Foods_2_CA_3.l5      0.0095852  0.0152487   0.629 0.529698    
## Foods_3_CA_3.l5     -0.0011362  0.0059899  -0.190 0.849574    
## Hobbies_CA_1.l6     -0.0410012  0.0134400  -3.051 0.002316 ** 
## Hobbies_CA_2.l6      0.0051882  0.0169305   0.306 0.759306    
## Hobbies_CA_3.l6     -0.0003558  0.0128081  -0.028 0.977840    
## Household_1_CA_1.l6  0.0883334  0.0318158   2.776 0.005552 ** 
## Household_2_CA_1.l6 -0.0768021  0.0519664  -1.478 0.139602    
## Household_1_CA_2.l6  0.0144283  0.0327493   0.441 0.659578    
## Household_2_CA_2.l6  0.0360317  0.0401238   0.898 0.369297    
## Household_1_CA_3.l6  0.0393443  0.0212265   1.854 0.063964 .  
## Household_2_CA_3.l6  0.0818968  0.0357919   2.288 0.022243 *  
## Foods_1_CA_1.l6     -0.0292233  0.0374785  -0.780 0.435647    
## Foods_2_CA_1.l6      0.0190756  0.0223200   0.855 0.392861    
## Foods_3_CA_1.l6      0.0082196  0.0078146   1.052 0.293020    
## Foods_1_CA_2.l6      0.0800946  0.0466437   1.717 0.086119 .  
## Foods_2_CA_2.l6     -0.0625224  0.0345962  -1.807 0.070894 .  
## Foods_3_CA_2.l6      0.0141944  0.0102461   1.385 0.166115    
## Foods_1_CA_3.l6      0.0305011  0.0299720   1.018 0.308977    
## Foods_2_CA_3.l6     -0.0098626  0.0151621  -0.650 0.515464    
## Foods_3_CA_3.l6     -0.0008269  0.0059297  -0.139 0.889111    
## Hobbies_CA_1.l7     -0.0418488  0.0133869  -3.126 0.001799 ** 
## Hobbies_CA_2.l7      0.0188497  0.0167550   1.125 0.260728    
## Hobbies_CA_3.l7      0.0095144  0.0127386   0.747 0.455225    
## Household_1_CA_1.l7  0.0696575  0.0313011   2.225 0.026175 *  
## Household_2_CA_1.l7 -0.0294007  0.0519384  -0.566 0.571417    
## Household_1_CA_2.l7  0.2673174  0.0315805   8.465  < 2e-16 ***
## Household_2_CA_2.l7  0.1634549  0.0394207   4.146 3.53e-05 ***
## Household_1_CA_3.l7 -0.0645711  0.0202460  -3.189 0.001450 ** 
## Household_2_CA_3.l7  0.0377665  0.0357845   1.055 0.291387    
## Foods_1_CA_1.l7     -0.1259072  0.0359430  -3.503 0.000471 ***
## Foods_2_CA_1.l7     -0.0015888  0.0212708  -0.075 0.940466    
## Foods_3_CA_1.l7      0.0258535  0.0075531   3.423 0.000633 ***
## Foods_1_CA_2.l7      0.0269383  0.0457660   0.589 0.556196    
## Foods_2_CA_2.l7     -0.0224292  0.0339379  -0.661 0.508766    
## Foods_3_CA_2.l7      0.0220713  0.0099325   2.222 0.026396 *  
## Foods_1_CA_3.l7     -0.0256222  0.0285657  -0.897 0.369859    
## Foods_2_CA_3.l7      0.0023539  0.0141603   0.166 0.867995    
## Foods_3_CA_3.l7     -0.0013719  0.0055604  -0.247 0.805153    
## const               58.0611337 10.9709386   5.292 1.35e-07 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 31.78 on 1835 degrees of freedom
## Multiple R-Squared: 0.8107,  Adjusted R-squared: 0.7977 
## F-statistic: 62.36 on 126 and 1835 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Household_2_CA_2: 
## ================================================= 
## Household_2_CA_2 = Hobbies_CA_1.l1 + Hobbies_CA_2.l1 + Hobbies_CA_3.l1 + Household_1_CA_1.l1 + Household_2_CA_1.l1 + Household_1_CA_2.l1 + Household_2_CA_2.l1 + Household_1_CA_3.l1 + Household_2_CA_3.l1 + Foods_1_CA_1.l1 + Foods_2_CA_1.l1 + Foods_3_CA_1.l1 + Foods_1_CA_2.l1 + Foods_2_CA_2.l1 + Foods_3_CA_2.l1 + Foods_1_CA_3.l1 + Foods_2_CA_3.l1 + Foods_3_CA_3.l1 + Hobbies_CA_1.l2 + Hobbies_CA_2.l2 + Hobbies_CA_3.l2 + Household_1_CA_1.l2 + Household_2_CA_1.l2 + Household_1_CA_2.l2 + Household_2_CA_2.l2 + Household_1_CA_3.l2 + Household_2_CA_3.l2 + Foods_1_CA_1.l2 + Foods_2_CA_1.l2 + Foods_3_CA_1.l2 + Foods_1_CA_2.l2 + Foods_2_CA_2.l2 + Foods_3_CA_2.l2 + Foods_1_CA_3.l2 + Foods_2_CA_3.l2 + Foods_3_CA_3.l2 + Hobbies_CA_1.l3 + Hobbies_CA_2.l3 + Hobbies_CA_3.l3 + Household_1_CA_1.l3 + Household_2_CA_1.l3 + Household_1_CA_2.l3 + Household_2_CA_2.l3 + Household_1_CA_3.l3 + Household_2_CA_3.l3 + Foods_1_CA_1.l3 + Foods_2_CA_1.l3 + Foods_3_CA_1.l3 + Foods_1_CA_2.l3 + Foods_2_CA_2.l3 + Foods_3_CA_2.l3 + Foods_1_CA_3.l3 + Foods_2_CA_3.l3 + Foods_3_CA_3.l3 + Hobbies_CA_1.l4 + Hobbies_CA_2.l4 + Hobbies_CA_3.l4 + Household_1_CA_1.l4 + Household_2_CA_1.l4 + Household_1_CA_2.l4 + Household_2_CA_2.l4 + Household_1_CA_3.l4 + Household_2_CA_3.l4 + Foods_1_CA_1.l4 + Foods_2_CA_1.l4 + Foods_3_CA_1.l4 + Foods_1_CA_2.l4 + Foods_2_CA_2.l4 + Foods_3_CA_2.l4 + Foods_1_CA_3.l4 + Foods_2_CA_3.l4 + Foods_3_CA_3.l4 + Hobbies_CA_1.l5 + Hobbies_CA_2.l5 + Hobbies_CA_3.l5 + Household_1_CA_1.l5 + Household_2_CA_1.l5 + Household_1_CA_2.l5 + Household_2_CA_2.l5 + Household_1_CA_3.l5 + Household_2_CA_3.l5 + Foods_1_CA_1.l5 + Foods_2_CA_1.l5 + Foods_3_CA_1.l5 + Foods_1_CA_2.l5 + Foods_2_CA_2.l5 + Foods_3_CA_2.l5 + Foods_1_CA_3.l5 + Foods_2_CA_3.l5 + Foods_3_CA_3.l5 + Hobbies_CA_1.l6 + Hobbies_CA_2.l6 + Hobbies_CA_3.l6 + Household_1_CA_1.l6 + Household_2_CA_1.l6 + Household_1_CA_2.l6 + Household_2_CA_2.l6 + Household_1_CA_3.l6 + Household_2_CA_3.l6 + Foods_1_CA_1.l6 + Foods_2_CA_1.l6 + Foods_3_CA_1.l6 + Foods_1_CA_2.l6 + Foods_2_CA_2.l6 + Foods_3_CA_2.l6 + Foods_1_CA_3.l6 + Foods_2_CA_3.l6 + Foods_3_CA_3.l6 + Hobbies_CA_1.l7 + Hobbies_CA_2.l7 + Hobbies_CA_3.l7 + Household_1_CA_1.l7 + Household_2_CA_1.l7 + Household_1_CA_2.l7 + Household_2_CA_2.l7 + Household_1_CA_3.l7 + Household_2_CA_3.l7 + Foods_1_CA_1.l7 + Foods_2_CA_1.l7 + Foods_3_CA_1.l7 + Foods_1_CA_2.l7 + Foods_2_CA_2.l7 + Foods_3_CA_2.l7 + Foods_1_CA_3.l7 + Foods_2_CA_3.l7 + Foods_3_CA_3.l7 + const 
## 
##                       Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_1.l1      0.0107438  0.0100145   1.073 0.283488    
## Hobbies_CA_2.l1      0.0025263  0.0127993   0.197 0.843553    
## Hobbies_CA_3.l1     -0.0076956  0.0095139  -0.809 0.418684    
## Household_1_CA_1.l1  0.0131240  0.0237355   0.553 0.580381    
## Household_2_CA_1.l1  0.0628667  0.0390618   1.609 0.107697    
## Household_1_CA_2.l1  0.0311688  0.0237824   1.311 0.190163    
## Household_2_CA_2.l1  0.1659088  0.0296920   5.588 2.65e-08 ***
## Household_1_CA_3.l1  0.0265640  0.0152989   1.736 0.082674 .  
## Household_2_CA_3.l1 -0.0340193  0.0266820  -1.275 0.202473    
## Foods_1_CA_1.l1      0.0360484  0.0271324   1.329 0.184142    
## Foods_2_CA_1.l1      0.0012188  0.0161971   0.075 0.940023    
## Foods_3_CA_1.l1      0.0008387  0.0055877   0.150 0.880700    
## Foods_1_CA_2.l1     -0.1109534  0.0340838  -3.255 0.001153 ** 
## Foods_2_CA_2.l1      0.0480251  0.0255356   1.881 0.060170 .  
## Foods_3_CA_2.l1      0.0056603  0.0074347   0.761 0.446553    
## Foods_1_CA_3.l1     -0.0621437  0.0217006  -2.864 0.004235 ** 
## Foods_2_CA_3.l1     -0.0027066  0.0107030  -0.253 0.800385    
## Foods_3_CA_3.l1     -0.0127042  0.0042077  -3.019 0.002568 ** 
## Hobbies_CA_1.l2      0.0258983  0.0100915   2.566 0.010356 *  
## Hobbies_CA_2.l2     -0.0130619  0.0127228  -1.027 0.304721    
## Hobbies_CA_3.l2      0.0110348  0.0096045   1.149 0.250738    
## Household_1_CA_1.l2  0.0421370  0.0240632   1.751 0.080095 .  
## Household_2_CA_1.l2 -0.0031989  0.0393107  -0.081 0.935153    
## Household_1_CA_2.l2 -0.1381931  0.0243604  -5.673 1.63e-08 ***
## Household_2_CA_2.l2  0.0524802  0.0299270   1.754 0.079665 .  
## Household_1_CA_3.l2 -0.0486808  0.0158728  -3.067 0.002194 ** 
## Household_2_CA_3.l2 -0.0129651  0.0267854  -0.484 0.628418    
## Foods_1_CA_1.l2     -0.0155408  0.0281817  -0.551 0.581393    
## Foods_2_CA_1.l2      0.0131585  0.0167781   0.784 0.432985    
## Foods_3_CA_1.l2     -0.0072554  0.0058217  -1.246 0.212822    
## Foods_1_CA_2.l2      0.0109901  0.0350541   0.314 0.753923    
## Foods_2_CA_2.l2     -0.0111700  0.0260508  -0.429 0.668137    
## Foods_3_CA_2.l2      0.0045860  0.0076548   0.599 0.549180    
## Foods_1_CA_3.l2      0.0533637  0.0226592   2.355 0.018625 *  
## Foods_2_CA_3.l2     -0.0010398  0.0114537  -0.091 0.927678    
## Foods_3_CA_3.l2      0.0044257  0.0044776   0.988 0.323088    
## Hobbies_CA_1.l3     -0.0109010  0.0101015  -1.079 0.280665    
## Hobbies_CA_2.l3      0.0091331  0.0127410   0.717 0.473568    
## Hobbies_CA_3.l3     -0.0073956  0.0096346  -0.768 0.442817    
## Household_1_CA_1.l3 -0.0072207  0.0239925  -0.301 0.763482    
## Household_2_CA_1.l3  0.0313164  0.0392558   0.798 0.425117    
## Household_1_CA_2.l3  0.0105131  0.0245709   0.428 0.668798    
## Household_2_CA_2.l3  0.0849418  0.0300868   2.823 0.004806 ** 
## Household_1_CA_3.l3 -0.0179689  0.0159891  -1.124 0.261237    
## Household_2_CA_3.l3  0.0207103  0.0268934   0.770 0.441348    
## Foods_1_CA_1.l3     -0.0263454  0.0282388  -0.933 0.350968    
## Foods_2_CA_1.l3     -0.0054302  0.0168933  -0.321 0.747915    
## Foods_3_CA_1.l3     -0.0014883  0.0058556  -0.254 0.799398    
## Foods_1_CA_2.l3      0.0573119  0.0349828   1.638 0.101533    
## Foods_2_CA_2.l3     -0.0145768  0.0260982  -0.559 0.576547    
## Foods_3_CA_2.l3     -0.0097340  0.0077247  -1.260 0.207789    
## Foods_1_CA_3.l3      0.0107116  0.0226027   0.474 0.635622    
## Foods_2_CA_3.l3     -0.0105141  0.0114626  -0.917 0.359132    
## Foods_3_CA_3.l3      0.0083015  0.0044934   1.847 0.064837 .  
## Hobbies_CA_1.l4      0.0101957  0.0101050   1.009 0.313119    
## Hobbies_CA_2.l4     -0.0178065  0.0127843  -1.393 0.163835    
## Hobbies_CA_3.l4      0.0035786  0.0095424   0.375 0.707688    
## Household_1_CA_1.l4 -0.0066722  0.0240063  -0.278 0.781093    
## Household_2_CA_1.l4 -0.0041352  0.0391208  -0.106 0.915828    
## Household_1_CA_2.l4  0.0180896  0.0247142   0.732 0.464293    
## Household_2_CA_2.l4 -0.0124417  0.0301872  -0.412 0.680277    
## Household_1_CA_3.l4  0.0155117  0.0159115   0.975 0.329751    
## Household_2_CA_3.l4 -0.0231724  0.0269396  -0.860 0.389813    
## Foods_1_CA_1.l4     -0.0117710  0.0282078  -0.417 0.676512    
## Foods_2_CA_1.l4     -0.0118670  0.0167914  -0.707 0.479823    
## Foods_3_CA_1.l4      0.0027306  0.0058579   0.466 0.641168    
## Foods_1_CA_2.l4     -0.0096594  0.0350920  -0.275 0.783147    
## Foods_2_CA_2.l4      0.0036596  0.0260939   0.140 0.888480    
## Foods_3_CA_2.l4     -0.0002072  0.0076948  -0.027 0.978520    
## Foods_1_CA_3.l4     -0.0254037  0.0225030  -1.129 0.259088    
## Foods_2_CA_3.l4      0.0163326  0.0114617   1.425 0.154334    
## Foods_3_CA_3.l4     -0.0028609  0.0045067  -0.635 0.525629    
## Hobbies_CA_1.l5      0.0029398  0.0101099   0.291 0.771249    
## Hobbies_CA_2.l5      0.0292353  0.0127395   2.295 0.021854 *  
## Hobbies_CA_3.l5     -0.0021274  0.0096319  -0.221 0.825216    
## Household_1_CA_1.l5 -0.0150727  0.0239586  -0.629 0.529353    
## Household_2_CA_1.l5  0.0318440  0.0392127   0.812 0.416849    
## Household_1_CA_2.l5 -0.0407125  0.0247018  -1.648 0.099491 .  
## Household_2_CA_2.l5  0.0301377  0.0301223   1.001 0.317194    
## Household_1_CA_3.l5  0.0116195  0.0159915   0.727 0.467560    
## Household_2_CA_3.l5  0.0238265  0.0269825   0.883 0.377333    
## Foods_1_CA_1.l5      0.0354287  0.0283239   1.251 0.211151    
## Foods_2_CA_1.l5      0.0457138  0.0168460   2.714 0.006717 ** 
## Foods_3_CA_1.l5     -0.0279501  0.0058671  -4.764 2.05e-06 ***
## Foods_1_CA_2.l5     -0.0149689  0.0353165  -0.424 0.671725    
## Foods_2_CA_2.l5     -0.0021731  0.0261101  -0.083 0.933679    
## Foods_3_CA_2.l5     -0.0071547  0.0077131  -0.928 0.353734    
## Foods_1_CA_3.l5      0.0175489  0.0225872   0.777 0.437293    
## Foods_2_CA_3.l5     -0.0015075  0.0114734  -0.131 0.895482    
## Foods_3_CA_3.l5      0.0039727  0.0045069   0.881 0.378184    
## Hobbies_CA_1.l6     -0.0322060  0.0101125  -3.185 0.001473 ** 
## Hobbies_CA_2.l6      0.0054760  0.0127389   0.430 0.667344    
## Hobbies_CA_3.l6      0.0059783  0.0096370   0.620 0.535108    
## Household_1_CA_1.l6  0.0058601  0.0239388   0.245 0.806643    
## Household_2_CA_1.l6  0.0174235  0.0391005   0.446 0.655933    
## Household_1_CA_2.l6 -0.0067357  0.0246412  -0.273 0.784615    
## Household_2_CA_2.l6  0.0851662  0.0301899   2.821 0.004839 ** 
## Household_1_CA_3.l6  0.0143158  0.0159712   0.896 0.370183    
## Household_2_CA_3.l6  0.0969398  0.0269305   3.600 0.000327 ***
## Foods_1_CA_1.l6     -0.0035074  0.0281995  -0.124 0.901029    
## Foods_2_CA_1.l6     -0.0063310  0.0167940  -0.377 0.706233    
## Foods_3_CA_1.l6      0.0153062  0.0058799   2.603 0.009311 ** 
## Foods_1_CA_2.l6      0.0550012  0.0350956   1.567 0.117244    
## Foods_2_CA_2.l6      0.0125722  0.0260308   0.483 0.629173    
## Foods_3_CA_2.l6     -0.0065182  0.0077094  -0.845 0.397949    
## Foods_1_CA_3.l6      0.0132602  0.0225515   0.588 0.556608    
## Foods_2_CA_3.l6     -0.0269754  0.0114082  -2.365 0.018155 *  
## Foods_3_CA_3.l6      0.0006722  0.0044616   0.151 0.880255    
## Hobbies_CA_1.l7     -0.0130806  0.0100725  -1.299 0.194232    
## Hobbies_CA_2.l7      0.0014273  0.0126068   0.113 0.909869    
## Hobbies_CA_3.l7      0.0019213  0.0095848   0.200 0.841147    
## Household_1_CA_1.l7  0.0427590  0.0235515   1.816 0.069602 .  
## Household_2_CA_1.l7 -0.0522971  0.0390794  -1.338 0.180989    
## Household_1_CA_2.l7  0.1571277  0.0237618   6.613 4.94e-11 ***
## Household_2_CA_2.l7  0.2278920  0.0296608   7.683 2.51e-14 ***
## Household_1_CA_3.l7 -0.0267189  0.0152334  -1.754 0.079603 .  
## Household_2_CA_3.l7 -0.0154706  0.0269249  -0.575 0.565644    
## Foods_1_CA_1.l7     -0.0552125  0.0270442  -2.042 0.041337 *  
## Foods_2_CA_1.l7     -0.0115464  0.0160045  -0.721 0.470725    
## Foods_3_CA_1.l7      0.0212346  0.0056831   3.736 0.000192 ***
## Foods_1_CA_2.l7      0.0755302  0.0344352   2.193 0.028403 *  
## Foods_2_CA_2.l7      0.0321051  0.0255355   1.257 0.208814    
## Foods_3_CA_2.l7      0.0020100  0.0074734   0.269 0.787991    
## Foods_1_CA_3.l7     -0.0294170  0.0214933  -1.369 0.171273    
## Foods_2_CA_3.l7      0.0232761  0.0106545   2.185 0.029043 *  
## Foods_3_CA_3.l7     -0.0095287  0.0041837  -2.278 0.022867 *  
## const               31.4095850  8.2547352   3.805 0.000146 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 23.91 on 1835 degrees of freedom
## Multiple R-Squared: 0.7633,  Adjusted R-squared: 0.747 
## F-statistic: 46.96 on 126 and 1835 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Household_1_CA_3: 
## ================================================= 
## Household_1_CA_3 = Hobbies_CA_1.l1 + Hobbies_CA_2.l1 + Hobbies_CA_3.l1 + Household_1_CA_1.l1 + Household_2_CA_1.l1 + Household_1_CA_2.l1 + Household_2_CA_2.l1 + Household_1_CA_3.l1 + Household_2_CA_3.l1 + Foods_1_CA_1.l1 + Foods_2_CA_1.l1 + Foods_3_CA_1.l1 + Foods_1_CA_2.l1 + Foods_2_CA_2.l1 + Foods_3_CA_2.l1 + Foods_1_CA_3.l1 + Foods_2_CA_3.l1 + Foods_3_CA_3.l1 + Hobbies_CA_1.l2 + Hobbies_CA_2.l2 + Hobbies_CA_3.l2 + Household_1_CA_1.l2 + Household_2_CA_1.l2 + Household_1_CA_2.l2 + Household_2_CA_2.l2 + Household_1_CA_3.l2 + Household_2_CA_3.l2 + Foods_1_CA_1.l2 + Foods_2_CA_1.l2 + Foods_3_CA_1.l2 + Foods_1_CA_2.l2 + Foods_2_CA_2.l2 + Foods_3_CA_2.l2 + Foods_1_CA_3.l2 + Foods_2_CA_3.l2 + Foods_3_CA_3.l2 + Hobbies_CA_1.l3 + Hobbies_CA_2.l3 + Hobbies_CA_3.l3 + Household_1_CA_1.l3 + Household_2_CA_1.l3 + Household_1_CA_2.l3 + Household_2_CA_2.l3 + Household_1_CA_3.l3 + Household_2_CA_3.l3 + Foods_1_CA_1.l3 + Foods_2_CA_1.l3 + Foods_3_CA_1.l3 + Foods_1_CA_2.l3 + Foods_2_CA_2.l3 + Foods_3_CA_2.l3 + Foods_1_CA_3.l3 + Foods_2_CA_3.l3 + Foods_3_CA_3.l3 + Hobbies_CA_1.l4 + Hobbies_CA_2.l4 + Hobbies_CA_3.l4 + Household_1_CA_1.l4 + Household_2_CA_1.l4 + Household_1_CA_2.l4 + Household_2_CA_2.l4 + Household_1_CA_3.l4 + Household_2_CA_3.l4 + Foods_1_CA_1.l4 + Foods_2_CA_1.l4 + Foods_3_CA_1.l4 + Foods_1_CA_2.l4 + Foods_2_CA_2.l4 + Foods_3_CA_2.l4 + Foods_1_CA_3.l4 + Foods_2_CA_3.l4 + Foods_3_CA_3.l4 + Hobbies_CA_1.l5 + Hobbies_CA_2.l5 + Hobbies_CA_3.l5 + Household_1_CA_1.l5 + Household_2_CA_1.l5 + Household_1_CA_2.l5 + Household_2_CA_2.l5 + Household_1_CA_3.l5 + Household_2_CA_3.l5 + Foods_1_CA_1.l5 + Foods_2_CA_1.l5 + Foods_3_CA_1.l5 + Foods_1_CA_2.l5 + Foods_2_CA_2.l5 + Foods_3_CA_2.l5 + Foods_1_CA_3.l5 + Foods_2_CA_3.l5 + Foods_3_CA_3.l5 + Hobbies_CA_1.l6 + Hobbies_CA_2.l6 + Hobbies_CA_3.l6 + Household_1_CA_1.l6 + Household_2_CA_1.l6 + Household_1_CA_2.l6 + Household_2_CA_2.l6 + Household_1_CA_3.l6 + Household_2_CA_3.l6 + Foods_1_CA_1.l6 + Foods_2_CA_1.l6 + Foods_3_CA_1.l6 + Foods_1_CA_2.l6 + Foods_2_CA_2.l6 + Foods_3_CA_2.l6 + Foods_1_CA_3.l6 + Foods_2_CA_3.l6 + Foods_3_CA_3.l6 + Hobbies_CA_1.l7 + Hobbies_CA_2.l7 + Hobbies_CA_3.l7 + Household_1_CA_1.l7 + Household_2_CA_1.l7 + Household_1_CA_2.l7 + Household_2_CA_2.l7 + Household_1_CA_3.l7 + Household_2_CA_3.l7 + Foods_1_CA_1.l7 + Foods_2_CA_1.l7 + Foods_3_CA_1.l7 + Foods_1_CA_2.l7 + Foods_2_CA_2.l7 + Foods_3_CA_2.l7 + Foods_1_CA_3.l7 + Foods_2_CA_3.l7 + Foods_3_CA_3.l7 + const 
## 
##                       Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_1.l1      1.158e-02  1.967e-02   0.588 0.556340    
## Hobbies_CA_2.l1     -5.996e-02  2.514e-02  -2.385 0.017197 *  
## Hobbies_CA_3.l1     -4.068e-02  1.869e-02  -2.176 0.029649 *  
## Household_1_CA_1.l1  1.439e-01  4.663e-02   3.085 0.002063 ** 
## Household_2_CA_1.l1  2.499e-01  7.674e-02   3.256 0.001149 ** 
## Household_1_CA_2.l1  1.003e-01  4.672e-02   2.146 0.032022 *  
## Household_2_CA_2.l1  4.920e-02  5.833e-02   0.843 0.399097    
## Household_1_CA_3.l1  3.272e-01  3.005e-02  10.888  < 2e-16 ***
## Household_2_CA_3.l1 -7.325e-02  5.242e-02  -1.397 0.162456    
## Foods_1_CA_1.l1      9.844e-02  5.330e-02   1.847 0.064925 .  
## Foods_2_CA_1.l1      4.313e-02  3.182e-02   1.355 0.175435    
## Foods_3_CA_1.l1     -2.829e-02  1.098e-02  -2.578 0.010025 *  
## Foods_1_CA_2.l1      8.022e-03  6.696e-02   0.120 0.904644    
## Foods_2_CA_2.l1      1.492e-02  5.016e-02   0.297 0.766146    
## Foods_3_CA_2.l1     -7.507e-03  1.461e-02  -0.514 0.607336    
## Foods_1_CA_3.l1      5.093e-03  4.263e-02   0.119 0.904920    
## Foods_2_CA_3.l1     -2.679e-02  2.103e-02  -1.274 0.202811    
## Foods_3_CA_3.l1     -1.611e-02  8.266e-03  -1.949 0.051426 .  
## Hobbies_CA_1.l2      3.741e-02  1.982e-02   1.887 0.059301 .  
## Hobbies_CA_2.l2     -2.470e-02  2.499e-02  -0.988 0.323189    
## Hobbies_CA_3.l2      3.450e-02  1.887e-02   1.828 0.067668 .  
## Household_1_CA_1.l2  6.171e-02  4.727e-02   1.305 0.191937    
## Household_2_CA_1.l2 -4.414e-02  7.723e-02  -0.572 0.567697    
## Household_1_CA_2.l2 -8.955e-02  4.786e-02  -1.871 0.061474 .  
## Household_2_CA_2.l2 -8.833e-02  5.879e-02  -1.502 0.133175    
## Household_1_CA_3.l2  2.819e-02  3.118e-02   0.904 0.366030    
## Household_2_CA_3.l2 -1.841e-02  5.262e-02  -0.350 0.726418    
## Foods_1_CA_1.l2      1.099e-02  5.536e-02   0.198 0.842731    
## Foods_2_CA_1.l2     -8.749e-03  3.296e-02  -0.265 0.790707    
## Foods_3_CA_1.l2     -1.372e-02  1.144e-02  -1.199 0.230569    
## Foods_1_CA_2.l2     -1.555e-02  6.886e-02  -0.226 0.821382    
## Foods_2_CA_2.l2     -3.252e-02  5.118e-02  -0.635 0.525265    
## Foods_3_CA_2.l2      6.496e-03  1.504e-02   0.432 0.665809    
## Foods_1_CA_3.l2      2.787e-02  4.451e-02   0.626 0.531362    
## Foods_2_CA_3.l2      4.834e-02  2.250e-02   2.148 0.031815 *  
## Foods_3_CA_3.l2      1.339e-03  8.796e-03   0.152 0.879038    
## Hobbies_CA_1.l3     -7.504e-05  1.984e-02  -0.004 0.996983    
## Hobbies_CA_2.l3     -2.401e-02  2.503e-02  -0.959 0.337649    
## Hobbies_CA_3.l3      2.394e-02  1.893e-02   1.265 0.206007    
## Household_1_CA_1.l3 -3.125e-02  4.713e-02  -0.663 0.507416    
## Household_2_CA_1.l3  7.897e-02  7.712e-02   1.024 0.305954    
## Household_1_CA_2.l3 -5.169e-02  4.827e-02  -1.071 0.284338    
## Household_2_CA_2.l3  3.088e-02  5.911e-02   0.523 0.601385    
## Household_1_CA_3.l3 -6.148e-04  3.141e-02  -0.020 0.984386    
## Household_2_CA_3.l3 -1.097e-02  5.283e-02  -0.208 0.835533    
## Foods_1_CA_1.l3     -3.896e-02  5.547e-02  -0.702 0.482555    
## Foods_2_CA_1.l3     -1.393e-02  3.319e-02  -0.420 0.674671    
## Foods_3_CA_1.l3      1.947e-02  1.150e-02   1.693 0.090654 .  
## Foods_1_CA_2.l3      5.390e-02  6.872e-02   0.784 0.433005    
## Foods_2_CA_2.l3     -4.018e-02  5.127e-02  -0.784 0.433335    
## Foods_3_CA_2.l3     -8.099e-03  1.518e-02  -0.534 0.593619    
## Foods_1_CA_3.l3      7.285e-03  4.440e-02   0.164 0.869693    
## Foods_2_CA_3.l3     -3.072e-02  2.252e-02  -1.364 0.172715    
## Foods_3_CA_3.l3      6.491e-03  8.827e-03   0.735 0.462194    
## Hobbies_CA_1.l4      2.266e-02  1.985e-02   1.141 0.253817    
## Hobbies_CA_2.l4     -5.687e-02  2.511e-02  -2.265 0.023659 *  
## Hobbies_CA_3.l4      9.765e-03  1.875e-02   0.521 0.602491    
## Household_1_CA_1.l4 -3.893e-02  4.716e-02  -0.826 0.409154    
## Household_2_CA_1.l4 -8.199e-02  7.685e-02  -1.067 0.286164    
## Household_1_CA_2.l4  2.356e-02  4.855e-02   0.485 0.627484    
## Household_2_CA_2.l4 -1.695e-01  5.930e-02  -2.858 0.004310 ** 
## Household_1_CA_3.l4  4.402e-02  3.126e-02   1.408 0.159261    
## Household_2_CA_3.l4  3.034e-02  5.292e-02   0.573 0.566578    
## Foods_1_CA_1.l4     -9.786e-02  5.541e-02  -1.766 0.077558 .  
## Foods_2_CA_1.l4      4.399e-02  3.299e-02   1.334 0.182489    
## Foods_3_CA_1.l4     -1.361e-02  1.151e-02  -1.183 0.237146    
## Foods_1_CA_2.l4      8.195e-02  6.894e-02   1.189 0.234694    
## Foods_2_CA_2.l4      2.157e-02  5.126e-02   0.421 0.673958    
## Foods_3_CA_2.l4      2.220e-02  1.512e-02   1.468 0.142156    
## Foods_1_CA_3.l4     -4.815e-02  4.421e-02  -1.089 0.276197    
## Foods_2_CA_3.l4      2.010e-02  2.252e-02   0.893 0.372225    
## Foods_3_CA_3.l4      3.105e-03  8.853e-03   0.351 0.725833    
## Hobbies_CA_1.l5      3.257e-02  1.986e-02   1.640 0.101145    
## Hobbies_CA_2.l5     -2.184e-02  2.503e-02  -0.873 0.382945    
## Hobbies_CA_3.l5      1.792e-02  1.892e-02   0.947 0.343814    
## Household_1_CA_1.l5  6.133e-03  4.707e-02   0.130 0.896335    
## Household_2_CA_1.l5  2.476e-03  7.703e-02   0.032 0.974358    
## Household_1_CA_2.l5 -3.284e-02  4.853e-02  -0.677 0.498598    
## Household_2_CA_2.l5 -1.675e-02  5.917e-02  -0.283 0.777120    
## Household_1_CA_3.l5  8.437e-02  3.142e-02   2.686 0.007306 ** 
## Household_2_CA_3.l5  4.679e-02  5.301e-02   0.883 0.377485    
## Foods_1_CA_1.l5     -7.464e-02  5.564e-02  -1.341 0.179927    
## Foods_2_CA_1.l5      3.798e-02  3.309e-02   1.148 0.251237    
## Foods_3_CA_1.l5     -2.672e-02  1.153e-02  -2.318 0.020539 *  
## Foods_1_CA_2.l5     -5.846e-02  6.938e-02  -0.843 0.399527    
## Foods_2_CA_2.l5     -8.531e-02  5.129e-02  -1.663 0.096431 .  
## Foods_3_CA_2.l5     -3.086e-03  1.515e-02  -0.204 0.838622    
## Foods_1_CA_3.l5     -4.261e-02  4.437e-02  -0.960 0.337010    
## Foods_2_CA_3.l5      1.289e-02  2.254e-02   0.572 0.567554    
## Foods_3_CA_3.l5      6.281e-03  8.854e-03   0.709 0.478171    
## Hobbies_CA_1.l6     -1.351e-02  1.987e-02  -0.680 0.496444    
## Hobbies_CA_2.l6      7.660e-03  2.503e-02   0.306 0.759560    
## Hobbies_CA_3.l6      1.861e-02  1.893e-02   0.983 0.325717    
## Household_1_CA_1.l6  1.261e-01  4.703e-02   2.681 0.007415 ** 
## Household_2_CA_1.l6 -6.040e-02  7.681e-02  -0.786 0.431770    
## Household_1_CA_2.l6 -7.367e-02  4.841e-02  -1.522 0.128191    
## Household_2_CA_2.l6  4.027e-02  5.931e-02   0.679 0.497212    
## Household_1_CA_3.l6  8.306e-02  3.138e-02   2.647 0.008184 ** 
## Household_2_CA_3.l6  6.692e-02  5.290e-02   1.265 0.206093    
## Foods_1_CA_1.l6     -1.564e-02  5.540e-02  -0.282 0.777694    
## Foods_2_CA_1.l6     -8.293e-03  3.299e-02  -0.251 0.801570    
## Foods_3_CA_1.l6      7.070e-04  1.155e-02   0.061 0.951204    
## Foods_1_CA_2.l6     -1.687e-02  6.894e-02  -0.245 0.806776    
## Foods_2_CA_2.l6      2.572e-02  5.114e-02   0.503 0.615086    
## Foods_3_CA_2.l6     -1.073e-02  1.514e-02  -0.708 0.478802    
## Foods_1_CA_3.l6      4.382e-02  4.430e-02   0.989 0.322781    
## Foods_2_CA_3.l6     -2.717e-04  2.241e-02  -0.012 0.990328    
## Foods_3_CA_3.l6      6.376e-03  8.765e-03   0.727 0.467057    
## Hobbies_CA_1.l7     -1.168e-02  1.979e-02  -0.590 0.555138    
## Hobbies_CA_2.l7     -9.162e-03  2.477e-02  -0.370 0.711454    
## Hobbies_CA_3.l7     -6.192e-03  1.883e-02  -0.329 0.742309    
## Household_1_CA_1.l7  7.783e-02  4.627e-02   1.682 0.092680 .  
## Household_2_CA_1.l7 -1.540e-01  7.677e-02  -2.006 0.045002 *  
## Household_1_CA_2.l7  1.806e-01  4.668e-02   3.868 0.000113 ***
## Household_2_CA_2.l7  1.088e-01  5.827e-02   1.868 0.061957 .  
## Household_1_CA_3.l7  1.083e-01  2.993e-02   3.618 0.000305 ***
## Household_2_CA_3.l7  1.264e-02  5.289e-02   0.239 0.811188    
## Foods_1_CA_1.l7     -3.916e-02  5.313e-02  -0.737 0.461215    
## Foods_2_CA_1.l7      1.229e-03  3.144e-02   0.039 0.968820    
## Foods_3_CA_1.l7      3.462e-02  1.116e-02   3.101 0.001960 ** 
## Foods_1_CA_2.l7      1.021e-01  6.765e-02   1.509 0.131509    
## Foods_2_CA_2.l7     -8.998e-03  5.016e-02  -0.179 0.857660    
## Foods_3_CA_2.l7      8.375e-03  1.468e-02   0.570 0.568438    
## Foods_1_CA_3.l7     -4.784e-02  4.222e-02  -1.133 0.257324    
## Foods_2_CA_3.l7     -1.216e-02  2.093e-02  -0.581 0.561352    
## Foods_3_CA_3.l7     -7.410e-03  8.219e-03  -0.902 0.367406    
## const                7.743e+01  1.622e+01   4.775 1.94e-06 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 46.97 on 1835 degrees of freedom
## Multiple R-Squared: 0.7999,  Adjusted R-squared: 0.7861 
## F-statistic:  58.2 on 126 and 1835 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Household_2_CA_3: 
## ================================================= 
## Household_2_CA_3 = Hobbies_CA_1.l1 + Hobbies_CA_2.l1 + Hobbies_CA_3.l1 + Household_1_CA_1.l1 + Household_2_CA_1.l1 + Household_1_CA_2.l1 + Household_2_CA_2.l1 + Household_1_CA_3.l1 + Household_2_CA_3.l1 + Foods_1_CA_1.l1 + Foods_2_CA_1.l1 + Foods_3_CA_1.l1 + Foods_1_CA_2.l1 + Foods_2_CA_2.l1 + Foods_3_CA_2.l1 + Foods_1_CA_3.l1 + Foods_2_CA_3.l1 + Foods_3_CA_3.l1 + Hobbies_CA_1.l2 + Hobbies_CA_2.l2 + Hobbies_CA_3.l2 + Household_1_CA_1.l2 + Household_2_CA_1.l2 + Household_1_CA_2.l2 + Household_2_CA_2.l2 + Household_1_CA_3.l2 + Household_2_CA_3.l2 + Foods_1_CA_1.l2 + Foods_2_CA_1.l2 + Foods_3_CA_1.l2 + Foods_1_CA_2.l2 + Foods_2_CA_2.l2 + Foods_3_CA_2.l2 + Foods_1_CA_3.l2 + Foods_2_CA_3.l2 + Foods_3_CA_3.l2 + Hobbies_CA_1.l3 + Hobbies_CA_2.l3 + Hobbies_CA_3.l3 + Household_1_CA_1.l3 + Household_2_CA_1.l3 + Household_1_CA_2.l3 + Household_2_CA_2.l3 + Household_1_CA_3.l3 + Household_2_CA_3.l3 + Foods_1_CA_1.l3 + Foods_2_CA_1.l3 + Foods_3_CA_1.l3 + Foods_1_CA_2.l3 + Foods_2_CA_2.l3 + Foods_3_CA_2.l3 + Foods_1_CA_3.l3 + Foods_2_CA_3.l3 + Foods_3_CA_3.l3 + Hobbies_CA_1.l4 + Hobbies_CA_2.l4 + Hobbies_CA_3.l4 + Household_1_CA_1.l4 + Household_2_CA_1.l4 + Household_1_CA_2.l4 + Household_2_CA_2.l4 + Household_1_CA_3.l4 + Household_2_CA_3.l4 + Foods_1_CA_1.l4 + Foods_2_CA_1.l4 + Foods_3_CA_1.l4 + Foods_1_CA_2.l4 + Foods_2_CA_2.l4 + Foods_3_CA_2.l4 + Foods_1_CA_3.l4 + Foods_2_CA_3.l4 + Foods_3_CA_3.l4 + Hobbies_CA_1.l5 + Hobbies_CA_2.l5 + Hobbies_CA_3.l5 + Household_1_CA_1.l5 + Household_2_CA_1.l5 + Household_1_CA_2.l5 + Household_2_CA_2.l5 + Household_1_CA_3.l5 + Household_2_CA_3.l5 + Foods_1_CA_1.l5 + Foods_2_CA_1.l5 + Foods_3_CA_1.l5 + Foods_1_CA_2.l5 + Foods_2_CA_2.l5 + Foods_3_CA_2.l5 + Foods_1_CA_3.l5 + Foods_2_CA_3.l5 + Foods_3_CA_3.l5 + Hobbies_CA_1.l6 + Hobbies_CA_2.l6 + Hobbies_CA_3.l6 + Household_1_CA_1.l6 + Household_2_CA_1.l6 + Household_1_CA_2.l6 + Household_2_CA_2.l6 + Household_1_CA_3.l6 + Household_2_CA_3.l6 + Foods_1_CA_1.l6 + Foods_2_CA_1.l6 + Foods_3_CA_1.l6 + Foods_1_CA_2.l6 + Foods_2_CA_2.l6 + Foods_3_CA_2.l6 + Foods_1_CA_3.l6 + Foods_2_CA_3.l6 + Foods_3_CA_3.l6 + Hobbies_CA_1.l7 + Hobbies_CA_2.l7 + Hobbies_CA_3.l7 + Household_1_CA_1.l7 + Household_2_CA_1.l7 + Household_1_CA_2.l7 + Household_2_CA_2.l7 + Household_1_CA_3.l7 + Household_2_CA_3.l7 + Foods_1_CA_1.l7 + Foods_2_CA_1.l7 + Foods_3_CA_1.l7 + Foods_1_CA_2.l7 + Foods_2_CA_2.l7 + Foods_3_CA_2.l7 + Foods_1_CA_3.l7 + Foods_2_CA_3.l7 + Foods_3_CA_3.l7 + const 
## 
##                       Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_1.l1      8.866e-03  1.040e-02   0.852 0.394112    
## Hobbies_CA_2.l1     -8.379e-03  1.329e-02  -0.630 0.528562    
## Hobbies_CA_3.l1     -5.217e-05  9.881e-03  -0.005 0.995788    
## Household_1_CA_1.l1 -1.313e-02  2.465e-02  -0.533 0.594287    
## Household_2_CA_1.l1  1.409e-01  4.057e-02   3.473 0.000527 ***
## Household_1_CA_2.l1 -7.501e-04  2.470e-02  -0.030 0.975777    
## Household_2_CA_2.l1  2.361e-02  3.084e-02   0.766 0.443954    
## Household_1_CA_3.l1  4.702e-02  1.589e-02   2.959 0.003122 ** 
## Household_2_CA_3.l1  1.489e-01  2.771e-02   5.373 8.73e-08 ***
## Foods_1_CA_1.l1      4.537e-03  2.818e-02   0.161 0.872103    
## Foods_2_CA_1.l1      4.089e-03  1.682e-02   0.243 0.807974    
## Foods_3_CA_1.l1     -2.374e-03  5.803e-03  -0.409 0.682563    
## Foods_1_CA_2.l1      1.098e-02  3.540e-02   0.310 0.756375    
## Foods_2_CA_2.l1      3.594e-03  2.652e-02   0.136 0.892207    
## Foods_3_CA_2.l1      1.149e-03  7.722e-03   0.149 0.881723    
## Foods_1_CA_3.l1     -2.569e-02  2.254e-02  -1.140 0.254596    
## Foods_2_CA_3.l1     -4.061e-03  1.112e-02  -0.365 0.714941    
## Foods_3_CA_3.l1     -2.405e-03  4.370e-03  -0.550 0.582218    
## Hobbies_CA_1.l2      1.098e-02  1.048e-02   1.048 0.294811    
## Hobbies_CA_2.l2     -2.530e-02  1.321e-02  -1.915 0.055675 .  
## Hobbies_CA_3.l2      1.434e-02  9.975e-03   1.438 0.150599    
## Household_1_CA_1.l2 -5.333e-03  2.499e-02  -0.213 0.831035    
## Household_2_CA_1.l2  3.106e-02  4.083e-02   0.761 0.446945    
## Household_1_CA_2.l2 -6.333e-02  2.530e-02  -2.503 0.012404 *  
## Household_2_CA_2.l2 -3.309e-02  3.108e-02  -1.064 0.287251    
## Household_1_CA_3.l2 -2.092e-02  1.649e-02  -1.269 0.204556    
## Household_2_CA_3.l2  9.301e-02  2.782e-02   3.343 0.000844 ***
## Foods_1_CA_1.l2     -4.057e-02  2.927e-02  -1.386 0.165935    
## Foods_2_CA_1.l2      7.675e-03  1.743e-02   0.440 0.659654    
## Foods_3_CA_1.l2      5.911e-04  6.046e-03   0.098 0.922130    
## Foods_1_CA_2.l2      2.072e-02  3.641e-02   0.569 0.569383    
## Foods_2_CA_2.l2      4.184e-03  2.706e-02   0.155 0.877127    
## Foods_3_CA_2.l2     -4.579e-03  7.950e-03  -0.576 0.564754    
## Foods_1_CA_3.l2      4.432e-02  2.353e-02   1.883 0.059848 .  
## Foods_2_CA_3.l2      4.794e-03  1.190e-02   0.403 0.687001    
## Foods_3_CA_3.l2     -1.619e-03  4.650e-03  -0.348 0.727774    
## Hobbies_CA_1.l3     -1.268e-02  1.049e-02  -1.208 0.227069    
## Hobbies_CA_2.l3      9.480e-03  1.323e-02   0.716 0.473818    
## Hobbies_CA_3.l3      9.514e-03  1.001e-02   0.951 0.341817    
## Household_1_CA_1.l3 -2.063e-02  2.492e-02  -0.828 0.407876    
## Household_2_CA_1.l3  6.040e-02  4.077e-02   1.481 0.138685    
## Household_1_CA_2.l3 -4.482e-02  2.552e-02  -1.756 0.079225 .  
## Household_2_CA_2.l3  1.131e-02  3.125e-02   0.362 0.717348    
## Household_1_CA_3.l3 -7.011e-03  1.661e-02  -0.422 0.672942    
## Household_2_CA_3.l3  7.004e-02  2.793e-02   2.507 0.012245 *  
## Foods_1_CA_1.l3     -3.748e-03  2.933e-02  -0.128 0.898319    
## Foods_2_CA_1.l3      1.163e-02  1.755e-02   0.663 0.507471    
## Foods_3_CA_1.l3     -6.498e-03  6.082e-03  -1.068 0.285491    
## Foods_1_CA_2.l3      1.912e-02  3.633e-02   0.526 0.598841    
## Foods_2_CA_2.l3     -4.161e-03  2.711e-02  -0.153 0.878023    
## Foods_3_CA_2.l3      2.572e-03  8.023e-03   0.321 0.748563    
## Foods_1_CA_3.l3      8.302e-04  2.348e-02   0.035 0.971793    
## Foods_2_CA_3.l3     -1.327e-02  1.191e-02  -1.115 0.265155    
## Foods_3_CA_3.l3      6.441e-03  4.667e-03   1.380 0.167725    
## Hobbies_CA_1.l4      7.316e-03  1.050e-02   0.697 0.485810    
## Hobbies_CA_2.l4     -8.818e-03  1.328e-02  -0.664 0.506723    
## Hobbies_CA_3.l4      1.260e-03  9.911e-03   0.127 0.898812    
## Household_1_CA_1.l4 -2.553e-03  2.493e-02  -0.102 0.918460    
## Household_2_CA_1.l4 -5.976e-02  4.063e-02  -1.471 0.141520    
## Household_1_CA_2.l4  1.056e-02  2.567e-02   0.412 0.680722    
## Household_2_CA_2.l4 -2.436e-02  3.135e-02  -0.777 0.437302    
## Household_1_CA_3.l4 -2.411e-02  1.653e-02  -1.459 0.144731    
## Household_2_CA_3.l4  7.779e-02  2.798e-02   2.780 0.005485 ** 
## Foods_1_CA_1.l4     -4.672e-02  2.930e-02  -1.595 0.110985    
## Foods_2_CA_1.l4     -4.187e-03  1.744e-02  -0.240 0.810307    
## Foods_3_CA_1.l4      1.084e-03  6.084e-03   0.178 0.858662    
## Foods_1_CA_2.l4      6.657e-02  3.645e-02   1.826 0.067953 .  
## Foods_2_CA_2.l4     -3.427e-02  2.710e-02  -1.264 0.206231    
## Foods_3_CA_2.l4      6.191e-04  7.992e-03   0.077 0.938265    
## Foods_1_CA_3.l4     -1.647e-02  2.337e-02  -0.705 0.481068    
## Foods_2_CA_3.l4      2.535e-03  1.190e-02   0.213 0.831400    
## Foods_3_CA_3.l4      1.392e-03  4.681e-03   0.297 0.766214    
## Hobbies_CA_1.l5      8.108e-03  1.050e-02   0.772 0.440087    
## Hobbies_CA_2.l5      6.237e-03  1.323e-02   0.471 0.637443    
## Hobbies_CA_3.l5      9.526e-04  1.000e-02   0.095 0.924143    
## Household_1_CA_1.l5  1.281e-02  2.488e-02   0.515 0.606731    
## Household_2_CA_1.l5  1.267e-02  4.073e-02   0.311 0.755761    
## Household_1_CA_2.l5 -2.659e-02  2.566e-02  -1.036 0.300177    
## Household_2_CA_2.l5  2.143e-02  3.129e-02   0.685 0.493513    
## Household_1_CA_3.l5  7.410e-03  1.661e-02   0.446 0.655556    
## Household_2_CA_3.l5  7.049e-02  2.802e-02   2.515 0.011973 *  
## Foods_1_CA_1.l5      1.529e-02  2.942e-02   0.520 0.603294    
## Foods_2_CA_1.l5      4.685e-02  1.750e-02   2.678 0.007474 ** 
## Foods_3_CA_1.l5     -1.810e-02  6.094e-03  -2.971 0.003007 ** 
## Foods_1_CA_2.l5     -4.310e-02  3.668e-02  -1.175 0.240150    
## Foods_2_CA_2.l5     -4.614e-02  2.712e-02  -1.702 0.089007 .  
## Foods_3_CA_2.l5     -1.337e-03  8.011e-03  -0.167 0.867431    
## Foods_1_CA_3.l5     -5.425e-03  2.346e-02  -0.231 0.817145    
## Foods_2_CA_3.l5      2.512e-04  1.192e-02   0.021 0.983186    
## Foods_3_CA_3.l5      5.593e-03  4.681e-03   1.195 0.232314    
## Hobbies_CA_1.l6     -1.399e-02  1.050e-02  -1.332 0.183170    
## Hobbies_CA_2.l6     -4.454e-03  1.323e-02  -0.337 0.736430    
## Hobbies_CA_3.l6     -5.464e-03  1.001e-02  -0.546 0.585228    
## Household_1_CA_1.l6 -1.085e-02  2.486e-02  -0.436 0.662610    
## Household_2_CA_1.l6 -5.317e-02  4.061e-02  -1.309 0.190587    
## Household_1_CA_2.l6 -3.289e-02  2.559e-02  -1.285 0.198856    
## Household_2_CA_2.l6 -3.631e-02  3.136e-02  -1.158 0.246960    
## Household_1_CA_3.l6  2.227e-02  1.659e-02   1.342 0.179661    
## Household_2_CA_3.l6  1.994e-01  2.797e-02   7.130 1.44e-12 ***
## Foods_1_CA_1.l6     -1.082e-03  2.929e-02  -0.037 0.970534    
## Foods_2_CA_1.l6     -3.353e-02  1.744e-02  -1.922 0.054706 .  
## Foods_3_CA_1.l6      4.800e-03  6.107e-03   0.786 0.432001    
## Foods_1_CA_2.l6      1.182e-02  3.645e-02   0.324 0.745792    
## Foods_2_CA_2.l6      1.523e-02  2.704e-02   0.563 0.573193    
## Foods_3_CA_2.l6      8.595e-03  8.007e-03   1.073 0.283231    
## Foods_1_CA_3.l6      3.444e-02  2.342e-02   1.470 0.141619    
## Foods_2_CA_3.l6      3.412e-03  1.185e-02   0.288 0.773397    
## Foods_3_CA_3.l6     -5.401e-03  4.634e-03  -1.165 0.243977    
## Hobbies_CA_1.l7      6.365e-03  1.046e-02   0.608 0.542999    
## Hobbies_CA_2.l7      3.577e-03  1.309e-02   0.273 0.784744    
## Hobbies_CA_3.l7     -1.159e-02  9.955e-03  -1.164 0.244638    
## Household_1_CA_1.l7  2.533e-02  2.446e-02   1.035 0.300599    
## Household_2_CA_1.l7 -7.796e-04  4.059e-02  -0.019 0.984678    
## Household_1_CA_2.l7  1.054e-01  2.468e-02   4.269 2.06e-05 ***
## Household_2_CA_2.l7  3.480e-02  3.081e-02   1.129 0.258838    
## Household_1_CA_3.l7 -1.851e-03  1.582e-02  -0.117 0.906895    
## Household_2_CA_3.l7  6.542e-02  2.796e-02   2.340 0.019415 *  
## Foods_1_CA_1.l7     -5.641e-02  2.809e-02  -2.008 0.044745 *  
## Foods_2_CA_1.l7     -1.283e-02  1.662e-02  -0.772 0.440338    
## Foods_3_CA_1.l7      1.975e-02  5.903e-03   3.346 0.000837 ***
## Foods_1_CA_2.l7     -2.339e-03  3.576e-02  -0.065 0.947863    
## Foods_2_CA_2.l7      1.006e-02  2.652e-02   0.379 0.704416    
## Foods_3_CA_2.l7      5.340e-04  7.762e-03   0.069 0.945154    
## Foods_1_CA_3.l7     -2.721e-02  2.232e-02  -1.219 0.223026    
## Foods_2_CA_3.l7     -7.587e-04  1.107e-02  -0.069 0.945342    
## Foods_3_CA_3.l7     -2.011e-03  4.345e-03  -0.463 0.643607    
## const                4.483e+01  8.573e+00   5.229 1.90e-07 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 24.84 on 1835 degrees of freedom
## Multiple R-Squared: 0.6384,  Adjusted R-squared: 0.6136 
## F-statistic: 25.71 on 126 and 1835 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Foods_1_CA_1: 
## ============================================= 
## Foods_1_CA_1 = Hobbies_CA_1.l1 + Hobbies_CA_2.l1 + Hobbies_CA_3.l1 + Household_1_CA_1.l1 + Household_2_CA_1.l1 + Household_1_CA_2.l1 + Household_2_CA_2.l1 + Household_1_CA_3.l1 + Household_2_CA_3.l1 + Foods_1_CA_1.l1 + Foods_2_CA_1.l1 + Foods_3_CA_1.l1 + Foods_1_CA_2.l1 + Foods_2_CA_2.l1 + Foods_3_CA_2.l1 + Foods_1_CA_3.l1 + Foods_2_CA_3.l1 + Foods_3_CA_3.l1 + Hobbies_CA_1.l2 + Hobbies_CA_2.l2 + Hobbies_CA_3.l2 + Household_1_CA_1.l2 + Household_2_CA_1.l2 + Household_1_CA_2.l2 + Household_2_CA_2.l2 + Household_1_CA_3.l2 + Household_2_CA_3.l2 + Foods_1_CA_1.l2 + Foods_2_CA_1.l2 + Foods_3_CA_1.l2 + Foods_1_CA_2.l2 + Foods_2_CA_2.l2 + Foods_3_CA_2.l2 + Foods_1_CA_3.l2 + Foods_2_CA_3.l2 + Foods_3_CA_3.l2 + Hobbies_CA_1.l3 + Hobbies_CA_2.l3 + Hobbies_CA_3.l3 + Household_1_CA_1.l3 + Household_2_CA_1.l3 + Household_1_CA_2.l3 + Household_2_CA_2.l3 + Household_1_CA_3.l3 + Household_2_CA_3.l3 + Foods_1_CA_1.l3 + Foods_2_CA_1.l3 + Foods_3_CA_1.l3 + Foods_1_CA_2.l3 + Foods_2_CA_2.l3 + Foods_3_CA_2.l3 + Foods_1_CA_3.l3 + Foods_2_CA_3.l3 + Foods_3_CA_3.l3 + Hobbies_CA_1.l4 + Hobbies_CA_2.l4 + Hobbies_CA_3.l4 + Household_1_CA_1.l4 + Household_2_CA_1.l4 + Household_1_CA_2.l4 + Household_2_CA_2.l4 + Household_1_CA_3.l4 + Household_2_CA_3.l4 + Foods_1_CA_1.l4 + Foods_2_CA_1.l4 + Foods_3_CA_1.l4 + Foods_1_CA_2.l4 + Foods_2_CA_2.l4 + Foods_3_CA_2.l4 + Foods_1_CA_3.l4 + Foods_2_CA_3.l4 + Foods_3_CA_3.l4 + Hobbies_CA_1.l5 + Hobbies_CA_2.l5 + Hobbies_CA_3.l5 + Household_1_CA_1.l5 + Household_2_CA_1.l5 + Household_1_CA_2.l5 + Household_2_CA_2.l5 + Household_1_CA_3.l5 + Household_2_CA_3.l5 + Foods_1_CA_1.l5 + Foods_2_CA_1.l5 + Foods_3_CA_1.l5 + Foods_1_CA_2.l5 + Foods_2_CA_2.l5 + Foods_3_CA_2.l5 + Foods_1_CA_3.l5 + Foods_2_CA_3.l5 + Foods_3_CA_3.l5 + Hobbies_CA_1.l6 + Hobbies_CA_2.l6 + Hobbies_CA_3.l6 + Household_1_CA_1.l6 + Household_2_CA_1.l6 + Household_1_CA_2.l6 + Household_2_CA_2.l6 + Household_1_CA_3.l6 + Household_2_CA_3.l6 + Foods_1_CA_1.l6 + Foods_2_CA_1.l6 + Foods_3_CA_1.l6 + Foods_1_CA_2.l6 + Foods_2_CA_2.l6 + Foods_3_CA_2.l6 + Foods_1_CA_3.l6 + Foods_2_CA_3.l6 + Foods_3_CA_3.l6 + Hobbies_CA_1.l7 + Hobbies_CA_2.l7 + Hobbies_CA_3.l7 + Household_1_CA_1.l7 + Household_2_CA_1.l7 + Household_1_CA_2.l7 + Household_2_CA_2.l7 + Household_1_CA_3.l7 + Household_2_CA_3.l7 + Foods_1_CA_1.l7 + Foods_2_CA_1.l7 + Foods_3_CA_1.l7 + Foods_1_CA_2.l7 + Foods_2_CA_2.l7 + Foods_3_CA_2.l7 + Foods_1_CA_3.l7 + Foods_2_CA_3.l7 + Foods_3_CA_3.l7 + const 
## 
##                       Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_1.l1      0.0116934  0.0105942   1.104  0.26984    
## Hobbies_CA_2.l1     -0.0110770  0.0135403  -0.818  0.41342    
## Hobbies_CA_3.l1      0.0052262  0.0100646   0.519  0.60364    
## Household_1_CA_1.l1  0.0344586  0.0251096   1.372  0.17013    
## Household_2_CA_1.l1  0.0561804  0.0413232   1.360  0.17414    
## Household_1_CA_2.l1  0.0670129  0.0251592   2.664  0.00780 ** 
## Household_2_CA_2.l1  0.0049149  0.0314109   0.156  0.87568    
## Household_1_CA_3.l1  0.0246390  0.0161846   1.522  0.12809    
## Household_2_CA_3.l1 -0.0258173  0.0282266  -0.915  0.36050    
## Foods_1_CA_1.l1      0.2882994  0.0287032  10.044  < 2e-16 ***
## Foods_2_CA_1.l1     -0.0109000  0.0171348  -0.636  0.52477    
## Foods_3_CA_1.l1     -0.0055947  0.0059112  -0.946  0.34404    
## Foods_1_CA_2.l1      0.0124448  0.0360571   0.345  0.73003    
## Foods_2_CA_2.l1      0.0536889  0.0270140   1.987  0.04702 *  
## Foods_3_CA_2.l1     -0.0185672  0.0078652  -2.361  0.01834 *  
## Foods_1_CA_3.l1      0.1308969  0.0229569   5.702 1.38e-08 ***
## Foods_2_CA_3.l1     -0.0241684  0.0113226  -2.135  0.03293 *  
## Foods_3_CA_3.l1      0.0030452  0.0044513   0.684  0.49399    
## Hobbies_CA_1.l2     -0.0021770  0.0106757  -0.204  0.83843    
## Hobbies_CA_2.l2     -0.0225416  0.0134594  -1.675  0.09415 .  
## Hobbies_CA_3.l2     -0.0104038  0.0101605  -1.024  0.30600    
## Household_1_CA_1.l2 -0.0352872  0.0254562  -1.386  0.16586    
## Household_2_CA_1.l2 -0.0204186  0.0415865  -0.491  0.62349    
## Household_1_CA_2.l2 -0.0235871  0.0257706  -0.915  0.36017    
## Household_2_CA_2.l2 -0.0395775  0.0316596  -1.250  0.21142    
## Household_1_CA_3.l2 -0.0235065  0.0167917  -1.400  0.16172    
## Household_2_CA_3.l2 -0.0306405  0.0283360  -1.081  0.27969    
## Foods_1_CA_1.l2      0.0594708  0.0298132   1.995  0.04621 *  
## Foods_2_CA_1.l2     -0.0105223  0.0177494  -0.593  0.55337    
## Foods_3_CA_1.l2     -0.0019387  0.0061587  -0.315  0.75296    
## Foods_1_CA_2.l2      0.0383546  0.0370835   1.034  0.30114    
## Foods_2_CA_2.l2     -0.0171586  0.0275590  -0.623  0.53361    
## Foods_3_CA_2.l2     -0.0026440  0.0080979  -0.327  0.74408    
## Foods_1_CA_3.l2      0.0914636  0.0239710   3.816  0.00014 ***
## Foods_2_CA_3.l2      0.0179815  0.0121168   1.484  0.13798    
## Foods_3_CA_3.l2      0.0023113  0.0047368   0.488  0.62565    
## Hobbies_CA_1.l3     -0.0088619  0.0106863  -0.829  0.40706    
## Hobbies_CA_2.l3     -0.0162349  0.0134786  -1.204  0.22855    
## Hobbies_CA_3.l3      0.0125453  0.0101923   1.231  0.21853    
## Household_1_CA_1.l3 -0.0230845  0.0253815  -0.910  0.36321    
## Household_2_CA_1.l3  0.0134486  0.0415284   0.324  0.74610    
## Household_1_CA_2.l3 -0.0259699  0.0259934  -0.999  0.31788    
## Household_2_CA_2.l3  0.0090610  0.0318286   0.285  0.77592    
## Household_1_CA_3.l3  0.0077642  0.0169148   0.459  0.64628    
## Household_2_CA_3.l3 -0.0504868  0.0284504  -1.775  0.07614 .  
## Foods_1_CA_1.l3      0.0618770  0.0298737   2.071  0.03847 *  
## Foods_2_CA_1.l3      0.0076107  0.0178713   0.426  0.67026    
## Foods_3_CA_1.l3      0.0000449  0.0061946   0.007  0.99422    
## Foods_1_CA_2.l3      0.0444403  0.0370081   1.201  0.22997    
## Foods_2_CA_2.l3     -0.0053985  0.0276090  -0.196  0.84500    
## Foods_3_CA_2.l3     -0.0043443  0.0081719  -0.532  0.59506    
## Foods_1_CA_3.l3     -0.0036391  0.0239112  -0.152  0.87905    
## Foods_2_CA_3.l3     -0.0084451  0.0121262  -0.696  0.48624    
## Foods_3_CA_3.l3      0.0047579  0.0047535   1.001  0.31700    
## Hobbies_CA_1.l4      0.0118270  0.0106900   1.106  0.26872    
## Hobbies_CA_2.l4     -0.0231426  0.0135244  -1.711  0.08722 .  
## Hobbies_CA_3.l4      0.0056837  0.0100948   0.563  0.57348    
## Household_1_CA_1.l4 -0.0216744  0.0253961  -0.853  0.39352    
## Household_2_CA_1.l4 -0.0368374  0.0413856  -0.890  0.37353    
## Household_1_CA_2.l4 -0.0269136  0.0261450  -1.029  0.30343    
## Household_2_CA_2.l4 -0.0394900  0.0319348  -1.237  0.21640    
## Household_1_CA_3.l4 -0.0292276  0.0168326  -1.736  0.08267 .  
## Household_2_CA_3.l4  0.0003975  0.0284993   0.014  0.98887    
## Foods_1_CA_1.l4      0.0480977  0.0298409   1.612  0.10718    
## Foods_2_CA_1.l4     -0.0288711  0.0177635  -1.625  0.10427    
## Foods_3_CA_1.l4      0.0032968  0.0061970   0.532  0.59479    
## Foods_1_CA_2.l4      0.0565239  0.0371235   1.523  0.12803    
## Foods_2_CA_2.l4     -0.0289757  0.0276045  -1.050  0.29401    
## Foods_3_CA_2.l4      0.0107808  0.0081403   1.324  0.18554    
## Foods_1_CA_3.l4     -0.0391040  0.0238058  -1.643  0.10063    
## Foods_2_CA_3.l4      0.0178065  0.0121252   1.469  0.14213    
## Foods_3_CA_3.l4     -0.0010068  0.0047676  -0.211  0.83277    
## Hobbies_CA_1.l5      0.0033012  0.0106952   0.309  0.75761    
## Hobbies_CA_2.l5     -0.0041425  0.0134771  -0.307  0.75860    
## Hobbies_CA_3.l5     -0.0048623  0.0101895  -0.477  0.63328    
## Household_1_CA_1.l5  0.0197973  0.0253456   0.781  0.43485    
## Household_2_CA_1.l5 -0.0040343  0.0414828  -0.097  0.92254    
## Household_1_CA_2.l5 -0.0283179  0.0261319  -1.084  0.27866    
## Household_2_CA_2.l5 -0.0133337  0.0318661  -0.418  0.67568    
## Household_1_CA_3.l5  0.0044166  0.0169173   0.261  0.79407    
## Household_2_CA_3.l5  0.0583517  0.0285445   2.044  0.04107 *  
## Foods_1_CA_1.l5      0.0556304  0.0299636   1.857  0.06353 .  
## Foods_2_CA_1.l5      0.0418861  0.0178213   2.350  0.01886 *  
## Foods_3_CA_1.l5     -0.0172203  0.0062067  -2.774  0.00559 ** 
## Foods_1_CA_2.l5      0.0058588  0.0373610   0.157  0.87541    
## Foods_2_CA_2.l5     -0.0290616  0.0276216  -1.052  0.29288    
## Foods_3_CA_2.l5     -0.0045230  0.0081596  -0.554  0.57943    
## Foods_1_CA_3.l5     -0.0154523  0.0238948  -0.647  0.51792    
## Foods_2_CA_3.l5     -0.0094203  0.0121377  -0.776  0.43778    
## Foods_3_CA_3.l5      0.0029876  0.0047678   0.627  0.53099    
## Hobbies_CA_1.l6     -0.0245194  0.0106979  -2.292  0.02202 *  
## Hobbies_CA_2.l6      0.0017971  0.0134763   0.133  0.89393    
## Hobbies_CA_3.l6      0.0082406  0.0101950   0.808  0.41902    
## Household_1_CA_1.l6  0.0037026  0.0253247   0.146  0.88378    
## Household_2_CA_1.l6 -0.0006958  0.0413641  -0.017  0.98658    
## Household_1_CA_2.l6  0.0037760  0.0260677   0.145  0.88484    
## Household_2_CA_2.l6 -0.0065803  0.0319377  -0.206  0.83679    
## Household_1_CA_3.l6  0.0303264  0.0168958   1.795  0.07283 .  
## Household_2_CA_3.l6  0.0686701  0.0284896   2.410  0.01603 *  
## Foods_1_CA_1.l6      0.0522705  0.0298320   1.752  0.07991 .  
## Foods_2_CA_1.l6     -0.0191687  0.0177663  -1.079  0.28076    
## Foods_3_CA_1.l6      0.0081430  0.0062203   1.309  0.19066    
## Foods_1_CA_2.l6     -0.0787739  0.0371274  -2.122  0.03399 *  
## Foods_2_CA_2.l6      0.0082627  0.0275378   0.300  0.76417    
## Foods_3_CA_2.l6      0.0008991  0.0081557   0.110  0.91223    
## Foods_1_CA_3.l6     -0.0053204  0.0238570  -0.223  0.82355    
## Foods_2_CA_3.l6      0.0088905  0.0120687   0.737  0.46143    
## Foods_3_CA_3.l6     -0.0097463  0.0047199  -2.065  0.03907 *  
## Hobbies_CA_1.l7      0.0045425  0.0106556   0.426  0.66994    
## Hobbies_CA_2.l7      0.0021507  0.0133366   0.161  0.87191    
## Hobbies_CA_3.l7      0.0019792  0.0101397   0.195  0.84527    
## Household_1_CA_1.l7  0.0620673  0.0249150   2.491  0.01282 *  
## Household_2_CA_1.l7  0.0085375  0.0413418   0.207  0.83642    
## Household_1_CA_2.l7  0.0496349  0.0251374   1.975  0.04847 *  
## Household_2_CA_2.l7  0.0756925  0.0313780   2.412  0.01595 *  
## Household_1_CA_3.l7 -0.0272344  0.0161154  -1.690  0.09120 .  
## Household_2_CA_3.l7 -0.0033232  0.0284837  -0.117  0.90713    
## Foods_1_CA_1.l7     -0.0340151  0.0286099  -1.189  0.23462    
## Foods_2_CA_1.l7      0.0041720  0.0169311   0.246  0.80539    
## Foods_3_CA_1.l7      0.0110733  0.0060121   1.842  0.06566 .  
## Foods_1_CA_2.l7      0.0282527  0.0364287   0.776  0.43811    
## Foods_2_CA_2.l7      0.0010840  0.0270138   0.040  0.96799    
## Foods_3_CA_2.l7      0.0162864  0.0079060   2.060  0.03954 *  
## Foods_1_CA_3.l7     -0.0697566  0.0227376  -3.068  0.00219 ** 
## Foods_2_CA_3.l7      0.0128693  0.0112713   1.142  0.25370    
## Foods_3_CA_3.l7     -0.0069886  0.0044259  -1.579  0.11450    
## const               62.4949666  8.7326239   7.156 1.19e-12 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 25.3 on 1835 degrees of freedom
## Multiple R-Squared: 0.6212,  Adjusted R-squared: 0.5952 
## F-statistic: 23.88 on 126 and 1835 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Foods_2_CA_1: 
## ============================================= 
## Foods_2_CA_1 = Hobbies_CA_1.l1 + Hobbies_CA_2.l1 + Hobbies_CA_3.l1 + Household_1_CA_1.l1 + Household_2_CA_1.l1 + Household_1_CA_2.l1 + Household_2_CA_2.l1 + Household_1_CA_3.l1 + Household_2_CA_3.l1 + Foods_1_CA_1.l1 + Foods_2_CA_1.l1 + Foods_3_CA_1.l1 + Foods_1_CA_2.l1 + Foods_2_CA_2.l1 + Foods_3_CA_2.l1 + Foods_1_CA_3.l1 + Foods_2_CA_3.l1 + Foods_3_CA_3.l1 + Hobbies_CA_1.l2 + Hobbies_CA_2.l2 + Hobbies_CA_3.l2 + Household_1_CA_1.l2 + Household_2_CA_1.l2 + Household_1_CA_2.l2 + Household_2_CA_2.l2 + Household_1_CA_3.l2 + Household_2_CA_3.l2 + Foods_1_CA_1.l2 + Foods_2_CA_1.l2 + Foods_3_CA_1.l2 + Foods_1_CA_2.l2 + Foods_2_CA_2.l2 + Foods_3_CA_2.l2 + Foods_1_CA_3.l2 + Foods_2_CA_3.l2 + Foods_3_CA_3.l2 + Hobbies_CA_1.l3 + Hobbies_CA_2.l3 + Hobbies_CA_3.l3 + Household_1_CA_1.l3 + Household_2_CA_1.l3 + Household_1_CA_2.l3 + Household_2_CA_2.l3 + Household_1_CA_3.l3 + Household_2_CA_3.l3 + Foods_1_CA_1.l3 + Foods_2_CA_1.l3 + Foods_3_CA_1.l3 + Foods_1_CA_2.l3 + Foods_2_CA_2.l3 + Foods_3_CA_2.l3 + Foods_1_CA_3.l3 + Foods_2_CA_3.l3 + Foods_3_CA_3.l3 + Hobbies_CA_1.l4 + Hobbies_CA_2.l4 + Hobbies_CA_3.l4 + Household_1_CA_1.l4 + Household_2_CA_1.l4 + Household_1_CA_2.l4 + Household_2_CA_2.l4 + Household_1_CA_3.l4 + Household_2_CA_3.l4 + Foods_1_CA_1.l4 + Foods_2_CA_1.l4 + Foods_3_CA_1.l4 + Foods_1_CA_2.l4 + Foods_2_CA_2.l4 + Foods_3_CA_2.l4 + Foods_1_CA_3.l4 + Foods_2_CA_3.l4 + Foods_3_CA_3.l4 + Hobbies_CA_1.l5 + Hobbies_CA_2.l5 + Hobbies_CA_3.l5 + Household_1_CA_1.l5 + Household_2_CA_1.l5 + Household_1_CA_2.l5 + Household_2_CA_2.l5 + Household_1_CA_3.l5 + Household_2_CA_3.l5 + Foods_1_CA_1.l5 + Foods_2_CA_1.l5 + Foods_3_CA_1.l5 + Foods_1_CA_2.l5 + Foods_2_CA_2.l5 + Foods_3_CA_2.l5 + Foods_1_CA_3.l5 + Foods_2_CA_3.l5 + Foods_3_CA_3.l5 + Hobbies_CA_1.l6 + Hobbies_CA_2.l6 + Hobbies_CA_3.l6 + Household_1_CA_1.l6 + Household_2_CA_1.l6 + Household_1_CA_2.l6 + Household_2_CA_2.l6 + Household_1_CA_3.l6 + Household_2_CA_3.l6 + Foods_1_CA_1.l6 + Foods_2_CA_1.l6 + Foods_3_CA_1.l6 + Foods_1_CA_2.l6 + Foods_2_CA_2.l6 + Foods_3_CA_2.l6 + Foods_1_CA_3.l6 + Foods_2_CA_3.l6 + Foods_3_CA_3.l6 + Hobbies_CA_1.l7 + Hobbies_CA_2.l7 + Hobbies_CA_3.l7 + Household_1_CA_1.l7 + Household_2_CA_1.l7 + Household_1_CA_2.l7 + Household_2_CA_2.l7 + Household_1_CA_3.l7 + Household_2_CA_3.l7 + Foods_1_CA_1.l7 + Foods_2_CA_1.l7 + Foods_3_CA_1.l7 + Foods_1_CA_2.l7 + Foods_2_CA_2.l7 + Foods_3_CA_2.l7 + Foods_1_CA_3.l7 + Foods_2_CA_3.l7 + Foods_3_CA_3.l7 + const 
## 
##                       Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_1.l1      0.0366039  0.0230302   1.589 0.112145    
## Hobbies_CA_2.l1      0.0200402  0.0294345   0.681 0.496058    
## Hobbies_CA_3.l1     -0.0033625  0.0218789  -0.154 0.877873    
## Household_1_CA_1.l1 -0.0132901  0.0545842  -0.243 0.807662    
## Household_2_CA_1.l1  0.2027778  0.0898299   2.257 0.024103 *  
## Household_1_CA_2.l1 -0.0573952  0.0546921  -1.049 0.294122    
## Household_2_CA_2.l1 -0.0167107  0.0682823  -0.245 0.806693    
## Household_1_CA_3.l1  0.0345337  0.0351828   0.982 0.326450    
## Household_2_CA_3.l1 -0.1939679  0.0613602  -3.161 0.001597 ** 
## Foods_1_CA_1.l1      0.1370612  0.0623960   2.197 0.028171 *  
## Foods_2_CA_1.l1      0.3418064  0.0372483   9.176  < 2e-16 ***
## Foods_3_CA_1.l1      0.0125132  0.0128500   0.974 0.330289    
## Foods_1_CA_2.l1     -0.1679905  0.0783822  -2.143 0.032226 *  
## Foods_2_CA_2.l1      0.1652348  0.0587240   2.814 0.004949 ** 
## Foods_3_CA_2.l1     -0.0123688  0.0170976  -0.723 0.469512    
## Foods_1_CA_3.l1     -0.0221356  0.0499046  -0.444 0.657414    
## Foods_2_CA_3.l1      0.1175575  0.0246135   4.776 1.93e-06 ***
## Foods_3_CA_3.l1     -0.0304918  0.0096763  -3.151 0.001652 ** 
## Hobbies_CA_1.l2      0.0131915  0.0232073   0.568 0.569821    
## Hobbies_CA_2.l2     -0.0629895  0.0292586  -2.153 0.031460 *  
## Hobbies_CA_3.l2      0.0205143  0.0220873   0.929 0.353124    
## Household_1_CA_1.l2  0.0282661  0.0553377   0.511 0.609558    
## Household_2_CA_1.l2 -0.1368742  0.0904023  -1.514 0.130184    
## Household_1_CA_2.l2 -0.1609642  0.0560212  -2.873 0.004109 ** 
## Household_2_CA_2.l2 -0.1732797  0.0688228  -2.518 0.011895 *  
## Household_1_CA_3.l2 -0.0440010  0.0365025  -1.205 0.228195    
## Household_2_CA_3.l2  0.0193450  0.0615980   0.314 0.753517    
## Foods_1_CA_1.l2     -0.0075905  0.0648092  -0.117 0.906778    
## Foods_2_CA_1.l2      0.1282695  0.0385844   3.324 0.000904 ***
## Foods_3_CA_1.l2     -0.0380239  0.0133881  -2.840 0.004559 ** 
## Foods_1_CA_2.l2      0.0455179  0.0806135   0.565 0.572385    
## Foods_2_CA_2.l2     -0.0236124  0.0599087  -0.394 0.693524    
## Foods_3_CA_2.l2      0.0419492  0.0176036   2.383 0.017274 *  
## Foods_1_CA_3.l2      0.0035690  0.0521091   0.068 0.945402    
## Foods_2_CA_3.l2     -0.0602342  0.0263400  -2.287 0.022321 *  
## Foods_3_CA_3.l2      0.0243476  0.0102971   2.365 0.018158 *  
## Hobbies_CA_1.l3     -0.0229787  0.0232304  -0.989 0.322713    
## Hobbies_CA_2.l3     -0.0709003  0.0293003  -2.420 0.015626 *  
## Hobbies_CA_3.l3      0.0311802  0.0221565   1.407 0.159516    
## Household_1_CA_1.l3  0.0404639  0.0551753   0.733 0.463427    
## Household_2_CA_1.l3  0.2287348  0.0902760   2.534 0.011368 *  
## Household_1_CA_2.l3  0.1616444  0.0565055   2.861 0.004275 ** 
## Household_2_CA_2.l3  0.0762593  0.0691903   1.102 0.270533    
## Household_1_CA_3.l3 -0.0102945  0.0367700  -0.280 0.779532    
## Household_2_CA_3.l3 -0.0068725  0.0618465  -0.111 0.911532    
## Foods_1_CA_1.l3      0.0278924  0.0649405   0.430 0.667604    
## Foods_2_CA_1.l3      0.0684214  0.0388493   1.761 0.078371 .  
## Foods_3_CA_1.l3     -0.0267953  0.0134660  -1.990 0.046755 *  
## Foods_1_CA_2.l3     -0.0388384  0.0804496  -0.483 0.629319    
## Foods_2_CA_2.l3      0.0794019  0.0600176   1.323 0.186008    
## Foods_3_CA_2.l3     -0.0124627  0.0177643  -0.702 0.483046    
## Foods_1_CA_3.l3     -0.0406430  0.0519792  -0.782 0.434369    
## Foods_2_CA_3.l3     -0.0010033  0.0263604  -0.038 0.969644    
## Foods_3_CA_3.l3     -0.0101717  0.0103334  -0.984 0.325074    
## Hobbies_CA_1.l4      0.0145715  0.0232383   0.627 0.530706    
## Hobbies_CA_2.l4      0.0087673  0.0293998   0.298 0.765577    
## Hobbies_CA_3.l4     -0.0037194  0.0219445  -0.169 0.865428    
## Household_1_CA_1.l4 -0.0528535  0.0552069  -0.957 0.338506    
## Household_2_CA_1.l4 -0.1064692  0.0899656  -1.183 0.236787    
## Household_1_CA_2.l4 -0.1053381  0.0568350  -1.853 0.063985 .  
## Household_2_CA_2.l4 -0.0756927  0.0694212  -1.090 0.275707    
## Household_1_CA_3.l4 -0.0029286  0.0365914  -0.080 0.936217    
## Household_2_CA_3.l4  0.0300404  0.0619528   0.485 0.627811    
## Foods_1_CA_1.l4     -0.0092691  0.0648692  -0.143 0.886393    
## Foods_2_CA_1.l4      0.0233032  0.0386149   0.603 0.546266    
## Foods_3_CA_1.l4     -0.0004229  0.0134713  -0.031 0.974960    
## Foods_1_CA_2.l4      0.0803675  0.0807006   0.996 0.319443    
## Foods_2_CA_2.l4     -0.0937104  0.0600078  -1.562 0.118546    
## Foods_3_CA_2.l4      0.0222631  0.0176957   1.258 0.208512    
## Foods_1_CA_3.l4      0.1276823  0.0517500   2.467 0.013705 *  
## Foods_2_CA_3.l4     -0.0071848  0.0263583  -0.273 0.785205    
## Foods_3_CA_3.l4      0.0133615  0.0103640   1.289 0.197482    
## Hobbies_CA_1.l5     -0.0300053  0.0232497  -1.291 0.197016    
## Hobbies_CA_2.l5      0.0138768  0.0292969   0.474 0.635797    
## Hobbies_CA_3.l5      0.0028060  0.0221503   0.127 0.899208    
## Household_1_CA_1.l5  0.0093674  0.0550973   0.170 0.865016    
## Household_2_CA_1.l5 -0.0152446  0.0901769  -0.169 0.865774    
## Household_1_CA_2.l5 -0.0281112  0.0568065  -0.495 0.620758    
## Household_2_CA_2.l5 -0.0768292  0.0692718  -1.109 0.267533    
## Household_1_CA_3.l5  0.0630589  0.0367754   1.715 0.086569 .  
## Household_2_CA_3.l5 -0.0460695  0.0620512  -0.742 0.457914    
## Foods_1_CA_1.l5      0.1063161  0.0651361   1.632 0.102806    
## Foods_2_CA_1.l5      0.0549448  0.0387406   1.418 0.156281    
## Foods_3_CA_1.l5     -0.0082971  0.0134925  -0.615 0.538669    
## Foods_1_CA_2.l5     -0.0361399  0.0812168  -0.445 0.656386    
## Foods_2_CA_2.l5     -0.0592331  0.0600450  -0.986 0.324028    
## Foods_3_CA_2.l5     -0.0012838  0.0177377  -0.072 0.942309    
## Foods_1_CA_3.l5     -0.0799148  0.0519435  -1.538 0.124100    
## Foods_2_CA_3.l5      0.0357750  0.0263853   1.356 0.175308    
## Foods_3_CA_3.l5      0.0017379  0.0103645   0.168 0.866855    
## Hobbies_CA_1.l6     -0.0114177  0.0232556  -0.491 0.623510    
## Hobbies_CA_2.l6     -0.0183589  0.0292954  -0.627 0.530946    
## Hobbies_CA_3.l6      0.0065479  0.0221622   0.295 0.767679    
## Household_1_CA_1.l6  0.0566251  0.0550517   1.029 0.303813    
## Household_2_CA_1.l6  0.1200020  0.0899190   1.335 0.182187    
## Household_1_CA_2.l6  0.0049123  0.0566671   0.087 0.930929    
## Household_2_CA_2.l6  0.1635179  0.0694274   2.355 0.018616 *  
## Household_1_CA_3.l6 -0.0616550  0.0367287  -1.679 0.093388 .  
## Household_2_CA_3.l6  0.0871285  0.0619317   1.407 0.159642    
## Foods_1_CA_1.l6      0.0059935  0.0648501   0.092 0.926374    
## Foods_2_CA_1.l6      0.0516541  0.0386210   1.337 0.181237    
## Foods_3_CA_1.l6     -0.0116056  0.0135218  -0.858 0.390846    
## Foods_1_CA_2.l6     -0.2071694  0.0807089  -2.567 0.010341 *  
## Foods_2_CA_2.l6     -0.0002993  0.0598627  -0.005 0.996011    
## Foods_3_CA_2.l6      0.0104624  0.0177292   0.590 0.555182    
## Foods_1_CA_3.l6     -0.0612844  0.0518613  -1.182 0.237479    
## Foods_2_CA_3.l6     -0.0173084  0.0262354  -0.660 0.509508    
## Foods_3_CA_3.l6      0.0042240  0.0102604   0.412 0.680623    
## Hobbies_CA_1.l7      0.0030481  0.0231637   0.132 0.895323    
## Hobbies_CA_2.l7      0.0144253  0.0289916   0.498 0.618847    
## Hobbies_CA_3.l7      0.0033875  0.0220420   0.154 0.877878    
## Household_1_CA_1.l7  0.1104296  0.0541611   2.039 0.041602 *  
## Household_2_CA_1.l7  0.0414647  0.0898704   0.461 0.644578    
## Household_1_CA_2.l7  0.2087296  0.0546447   3.820 0.000138 ***
## Household_2_CA_2.l7  0.0762047  0.0682107   1.117 0.264057    
## Household_1_CA_3.l7 -0.0274623  0.0350322  -0.784 0.433190    
## Household_2_CA_3.l7  0.0849994  0.0619189   1.373 0.169996    
## Foods_1_CA_1.l7     -0.1424532  0.0621932  -2.290 0.022106 *  
## Foods_2_CA_1.l7      0.1173230  0.0368054   3.188 0.001458 ** 
## Foods_3_CA_1.l7      0.0353072  0.0130694   2.702 0.006966 ** 
## Foods_1_CA_2.l7     -0.0737482  0.0791901  -0.931 0.351831    
## Foods_2_CA_2.l7     -0.0576381  0.0587236  -0.982 0.326468    
## Foods_3_CA_2.l7      0.0292951  0.0171865   1.705 0.088449 .  
## Foods_1_CA_3.l7     -0.0816324  0.0494279  -1.652 0.098799 .  
## Foods_2_CA_3.l7      0.0246740  0.0245020   1.007 0.314058    
## Foods_3_CA_3.l7     -0.0188366  0.0096213  -1.958 0.050404 .  
## const               25.1365062 18.9833133   1.324 0.185622    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 54.99 on 1835 degrees of freedom
## Multiple R-Squared: 0.7279,  Adjusted R-squared: 0.7092 
## F-statistic: 38.95 on 126 and 1835 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Foods_3_CA_1: 
## ============================================= 
## Foods_3_CA_1 = Hobbies_CA_1.l1 + Hobbies_CA_2.l1 + Hobbies_CA_3.l1 + Household_1_CA_1.l1 + Household_2_CA_1.l1 + Household_1_CA_2.l1 + Household_2_CA_2.l1 + Household_1_CA_3.l1 + Household_2_CA_3.l1 + Foods_1_CA_1.l1 + Foods_2_CA_1.l1 + Foods_3_CA_1.l1 + Foods_1_CA_2.l1 + Foods_2_CA_2.l1 + Foods_3_CA_2.l1 + Foods_1_CA_3.l1 + Foods_2_CA_3.l1 + Foods_3_CA_3.l1 + Hobbies_CA_1.l2 + Hobbies_CA_2.l2 + Hobbies_CA_3.l2 + Household_1_CA_1.l2 + Household_2_CA_1.l2 + Household_1_CA_2.l2 + Household_2_CA_2.l2 + Household_1_CA_3.l2 + Household_2_CA_3.l2 + Foods_1_CA_1.l2 + Foods_2_CA_1.l2 + Foods_3_CA_1.l2 + Foods_1_CA_2.l2 + Foods_2_CA_2.l2 + Foods_3_CA_2.l2 + Foods_1_CA_3.l2 + Foods_2_CA_3.l2 + Foods_3_CA_3.l2 + Hobbies_CA_1.l3 + Hobbies_CA_2.l3 + Hobbies_CA_3.l3 + Household_1_CA_1.l3 + Household_2_CA_1.l3 + Household_1_CA_2.l3 + Household_2_CA_2.l3 + Household_1_CA_3.l3 + Household_2_CA_3.l3 + Foods_1_CA_1.l3 + Foods_2_CA_1.l3 + Foods_3_CA_1.l3 + Foods_1_CA_2.l3 + Foods_2_CA_2.l3 + Foods_3_CA_2.l3 + Foods_1_CA_3.l3 + Foods_2_CA_3.l3 + Foods_3_CA_3.l3 + Hobbies_CA_1.l4 + Hobbies_CA_2.l4 + Hobbies_CA_3.l4 + Household_1_CA_1.l4 + Household_2_CA_1.l4 + Household_1_CA_2.l4 + Household_2_CA_2.l4 + Household_1_CA_3.l4 + Household_2_CA_3.l4 + Foods_1_CA_1.l4 + Foods_2_CA_1.l4 + Foods_3_CA_1.l4 + Foods_1_CA_2.l4 + Foods_2_CA_2.l4 + Foods_3_CA_2.l4 + Foods_1_CA_3.l4 + Foods_2_CA_3.l4 + Foods_3_CA_3.l4 + Hobbies_CA_1.l5 + Hobbies_CA_2.l5 + Hobbies_CA_3.l5 + Household_1_CA_1.l5 + Household_2_CA_1.l5 + Household_1_CA_2.l5 + Household_2_CA_2.l5 + Household_1_CA_3.l5 + Household_2_CA_3.l5 + Foods_1_CA_1.l5 + Foods_2_CA_1.l5 + Foods_3_CA_1.l5 + Foods_1_CA_2.l5 + Foods_2_CA_2.l5 + Foods_3_CA_2.l5 + Foods_1_CA_3.l5 + Foods_2_CA_3.l5 + Foods_3_CA_3.l5 + Hobbies_CA_1.l6 + Hobbies_CA_2.l6 + Hobbies_CA_3.l6 + Household_1_CA_1.l6 + Household_2_CA_1.l6 + Household_1_CA_2.l6 + Household_2_CA_2.l6 + Household_1_CA_3.l6 + Household_2_CA_3.l6 + Foods_1_CA_1.l6 + Foods_2_CA_1.l6 + Foods_3_CA_1.l6 + Foods_1_CA_2.l6 + Foods_2_CA_2.l6 + Foods_3_CA_2.l6 + Foods_1_CA_3.l6 + Foods_2_CA_3.l6 + Foods_3_CA_3.l6 + Hobbies_CA_1.l7 + Hobbies_CA_2.l7 + Hobbies_CA_3.l7 + Household_1_CA_1.l7 + Household_2_CA_1.l7 + Household_1_CA_2.l7 + Household_2_CA_2.l7 + Household_1_CA_3.l7 + Household_2_CA_3.l7 + Foods_1_CA_1.l7 + Foods_2_CA_1.l7 + Foods_3_CA_1.l7 + Foods_1_CA_2.l7 + Foods_2_CA_2.l7 + Foods_3_CA_2.l7 + Foods_1_CA_3.l7 + Foods_2_CA_3.l7 + Foods_3_CA_3.l7 + const 
## 
##                       Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_1.l1       0.098460   0.086847   1.134 0.257058    
## Hobbies_CA_2.l1       0.020758   0.110997   0.187 0.851670    
## Hobbies_CA_3.l1      -0.014045   0.082505  -0.170 0.864851    
## Household_1_CA_1.l1   0.062747   0.205837   0.305 0.760523    
## Household_2_CA_1.l1   1.000460   0.338748   2.953 0.003183 ** 
## Household_1_CA_2.l1  -0.206870   0.206244  -1.003 0.315974    
## Household_2_CA_2.l1  -0.005784   0.257492  -0.022 0.982080    
## Household_1_CA_3.l1   0.156876   0.132674   1.182 0.237192    
## Household_2_CA_3.l1  -0.599902   0.231389  -2.593 0.009601 ** 
## Foods_1_CA_1.l1       0.358105   0.235295   1.522 0.128196    
## Foods_2_CA_1.l1       0.112185   0.140463   0.799 0.424580    
## Foods_3_CA_1.l1       0.320958   0.048457   6.624 4.59e-11 ***
## Foods_1_CA_2.l1      -0.781298   0.295579  -2.643 0.008281 ** 
## Foods_2_CA_2.l1       0.249874   0.221448   1.128 0.259312    
## Foods_3_CA_2.l1       0.062623   0.064475   0.971 0.331539    
## Foods_1_CA_3.l1       0.045170   0.188190   0.240 0.810341    
## Foods_2_CA_3.l1       0.044955   0.092818   0.484 0.628206    
## Foods_3_CA_3.l1      -0.006984   0.036489  -0.191 0.848244    
## Hobbies_CA_1.l2       0.033158   0.087515   0.379 0.704813    
## Hobbies_CA_2.l2      -0.298851   0.110334  -2.709 0.006819 ** 
## Hobbies_CA_3.l2       0.141810   0.083291   1.703 0.088815 .  
## Household_1_CA_1.l2   0.233191   0.208678   1.117 0.263941    
## Household_2_CA_1.l2  -0.541648   0.340907  -1.589 0.112267    
## Household_1_CA_2.l2  -0.941184   0.211256  -4.455 8.89e-06 ***
## Household_2_CA_2.l2  -0.760082   0.259530  -2.929 0.003446 ** 
## Household_1_CA_3.l2  -0.304273   0.137651  -2.210 0.027195 *  
## Household_2_CA_3.l2  -0.057922   0.232286  -0.249 0.803113    
## Foods_1_CA_1.l2      -0.151392   0.244395  -0.619 0.535693    
## Foods_2_CA_1.l2       0.007693   0.145501   0.053 0.957837    
## Foods_3_CA_1.l2      -0.006760   0.050486  -0.134 0.893492    
## Foods_1_CA_2.l2       0.421392   0.303993   1.386 0.165857    
## Foods_2_CA_2.l2      -0.092674   0.225915  -0.410 0.681696    
## Foods_3_CA_2.l2       0.085798   0.066383   1.292 0.196357    
## Foods_1_CA_3.l2       0.133168   0.196503   0.678 0.498054    
## Foods_2_CA_3.l2      -0.094877   0.099328  -0.955 0.339607    
## Foods_3_CA_3.l2       0.096398   0.038830   2.483 0.013133 *  
## Hobbies_CA_1.l3      -0.138704   0.087602  -1.583 0.113514    
## Hobbies_CA_2.l3      -0.168377   0.110491  -1.524 0.127707    
## Hobbies_CA_3.l3       0.005384   0.083552   0.064 0.948628    
## Household_1_CA_1.l3   0.018471   0.208066   0.089 0.929271    
## Household_2_CA_1.l3   0.806578   0.340430   2.369 0.017925 *  
## Household_1_CA_2.l3   0.334294   0.213082   1.569 0.116855    
## Household_2_CA_2.l3   0.059494   0.260916   0.228 0.819656    
## Household_1_CA_3.l3  -0.031615   0.138659  -0.228 0.819667    
## Household_2_CA_3.l3  -0.199238   0.233223  -0.854 0.393061    
## Foods_1_CA_1.l3       0.053730   0.244890   0.219 0.826358    
## Foods_2_CA_1.l3       0.184847   0.146501   1.262 0.207200    
## Foods_3_CA_1.l3      -0.069075   0.050780  -1.360 0.173911    
## Foods_1_CA_2.l3       0.647964   0.303375   2.136 0.032824 *  
## Foods_2_CA_2.l3       0.212134   0.226326   0.937 0.348730    
## Foods_3_CA_2.l3      -0.069918   0.066989  -1.044 0.296756    
## Foods_1_CA_3.l3       0.107404   0.196013   0.548 0.583796    
## Foods_2_CA_3.l3      -0.042971   0.099405  -0.432 0.665583    
## Foods_3_CA_3.l3      -0.019339   0.038967  -0.496 0.619747    
## Hobbies_CA_1.l4       0.138426   0.087632   1.580 0.114363    
## Hobbies_CA_2.l4      -0.009580   0.110867  -0.086 0.931153    
## Hobbies_CA_3.l4       0.050302   0.082753   0.608 0.543359    
## Household_1_CA_1.l4  -0.384129   0.208185  -1.845 0.065179 .  
## Household_2_CA_1.l4  -0.452492   0.339260  -1.334 0.182447    
## Household_1_CA_2.l4  -0.187490   0.214324  -0.875 0.381799    
## Household_2_CA_2.l4  -0.575740   0.261787  -2.199 0.027983 *  
## Household_1_CA_3.l4   0.081776   0.137986   0.593 0.553496    
## Household_2_CA_3.l4   0.056927   0.233623   0.244 0.807515    
## Foods_1_CA_1.l4      -0.174066   0.244621  -0.712 0.476818    
## Foods_2_CA_1.l4      -0.263243   0.145617  -1.808 0.070804 .  
## Foods_3_CA_1.l4       0.080380   0.050800   1.582 0.113756    
## Foods_1_CA_2.l4       0.162499   0.304321   0.534 0.593426    
## Foods_2_CA_2.l4      -0.322087   0.226289  -1.423 0.154806    
## Foods_3_CA_2.l4       0.061894   0.066730   0.928 0.353775    
## Foods_1_CA_3.l4       0.019536   0.195149   0.100 0.920271    
## Foods_2_CA_3.l4       0.012753   0.099397   0.128 0.897926    
## Foods_3_CA_3.l4       0.046441   0.039083   1.188 0.234881    
## Hobbies_CA_1.l5      -0.037262   0.087674  -0.425 0.670880    
## Hobbies_CA_2.l5       0.150398   0.110479   1.361 0.173577    
## Hobbies_CA_3.l5       0.059769   0.083529   0.716 0.474361    
## Household_1_CA_1.l5   0.251527   0.207771   1.211 0.226207    
## Household_2_CA_1.l5  -0.115803   0.340056  -0.341 0.733488    
## Household_1_CA_2.l5  -0.345015   0.214217  -1.611 0.107442    
## Household_2_CA_2.l5  -0.262222   0.261224  -1.004 0.315596    
## Household_1_CA_3.l5   0.199968   0.138680   1.442 0.149489    
## Household_2_CA_3.l5  -0.019818   0.233995  -0.085 0.932512    
## Foods_1_CA_1.l5       0.371993   0.245628   1.514 0.130082    
## Foods_2_CA_1.l5       0.215420   0.146091   1.475 0.140501    
## Foods_3_CA_1.l5      -0.062615   0.050880  -1.231 0.218617    
## Foods_1_CA_2.l5       0.047162   0.306268   0.154 0.877635    
## Foods_2_CA_2.l5      -0.089571   0.226429  -0.396 0.692461    
## Foods_3_CA_2.l5      -0.041418   0.066889  -0.619 0.535854    
## Foods_1_CA_3.l5      -0.287263   0.195878  -1.467 0.142673    
## Foods_2_CA_3.l5       0.077637   0.099499   0.780 0.435325    
## Foods_3_CA_3.l5       0.011082   0.039084   0.284 0.776804    
## Hobbies_CA_1.l6      -0.215489   0.087697  -2.457 0.014094 *  
## Hobbies_CA_2.l6       0.096837   0.110473   0.877 0.380836    
## Hobbies_CA_3.l6      -0.007517   0.083573  -0.090 0.928337    
## Household_1_CA_1.l6   0.015153   0.207600   0.073 0.941820    
## Household_2_CA_1.l6   0.169416   0.339084   0.500 0.617396    
## Household_1_CA_2.l6  -0.114595   0.213691  -0.536 0.591841    
## Household_2_CA_2.l6   0.395782   0.261810   1.512 0.130779    
## Household_1_CA_3.l6  -0.031826   0.138504  -0.230 0.818282    
## Household_2_CA_3.l6   0.439489   0.233544   1.882 0.060018 .  
## Foods_1_CA_1.l6       0.169454   0.244549   0.693 0.488444    
## Foods_2_CA_1.l6      -0.172112   0.145639  -1.182 0.237450    
## Foods_3_CA_1.l6       0.126718   0.050991   2.485 0.013039 *  
## Foods_1_CA_2.l6      -0.745367   0.304353  -2.449 0.014417 *  
## Foods_2_CA_2.l6      -0.187408   0.225742  -0.830 0.406541    
## Foods_3_CA_2.l6       0.018568   0.066857   0.278 0.781253    
## Foods_1_CA_3.l6       0.019346   0.195569   0.099 0.921211    
## Foods_2_CA_3.l6       0.018674   0.098934   0.189 0.850311    
## Foods_3_CA_3.l6      -0.035211   0.038692  -0.910 0.362916    
## Hobbies_CA_1.l7      -0.052458   0.087350  -0.601 0.548218    
## Hobbies_CA_2.l7       0.022101   0.109327   0.202 0.839820    
## Hobbies_CA_3.l7       0.048605   0.083120   0.585 0.558782    
## Household_1_CA_1.l7   0.519355   0.204241   2.543 0.011077 *  
## Household_2_CA_1.l7   0.134891   0.338901   0.398 0.690659    
## Household_1_CA_2.l7   1.202089   0.206065   5.834 6.40e-09 ***
## Household_2_CA_2.l7   0.720531   0.257222   2.801 0.005145 ** 
## Household_1_CA_3.l7  -0.227827   0.132106  -1.725 0.084773 .  
## Household_2_CA_3.l7   0.344397   0.233496   1.475 0.140394    
## Foods_1_CA_1.l7      -0.811000   0.234530  -3.458 0.000557 ***
## Foods_2_CA_1.l7       0.086822   0.138793   0.626 0.531687    
## Foods_3_CA_1.l7       0.261719   0.049285   5.310 1.23e-07 ***
## Foods_1_CA_2.l7      -0.169622   0.298625  -0.568 0.570098    
## Foods_2_CA_2.l7      -0.200296   0.221446  -0.904 0.365855    
## Foods_3_CA_2.l7       0.128480   0.064810   1.982 0.047583 *  
## Foods_1_CA_3.l7      -0.607566   0.186392  -3.260 0.001136 ** 
## Foods_2_CA_3.l7       0.105170   0.092397   1.138 0.255167    
## Foods_3_CA_3.l7      -0.064877   0.036282  -1.788 0.073919 .  
## const               299.284314  71.585949   4.181 3.04e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 207.4 on 1835 degrees of freedom
## Multiple R-Squared: 0.7954,  Adjusted R-squared: 0.7813 
## F-statistic: 56.61 on 126 and 1835 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Foods_1_CA_2: 
## ============================================= 
## Foods_1_CA_2 = Hobbies_CA_1.l1 + Hobbies_CA_2.l1 + Hobbies_CA_3.l1 + Household_1_CA_1.l1 + Household_2_CA_1.l1 + Household_1_CA_2.l1 + Household_2_CA_2.l1 + Household_1_CA_3.l1 + Household_2_CA_3.l1 + Foods_1_CA_1.l1 + Foods_2_CA_1.l1 + Foods_3_CA_1.l1 + Foods_1_CA_2.l1 + Foods_2_CA_2.l1 + Foods_3_CA_2.l1 + Foods_1_CA_3.l1 + Foods_2_CA_3.l1 + Foods_3_CA_3.l1 + Hobbies_CA_1.l2 + Hobbies_CA_2.l2 + Hobbies_CA_3.l2 + Household_1_CA_1.l2 + Household_2_CA_1.l2 + Household_1_CA_2.l2 + Household_2_CA_2.l2 + Household_1_CA_3.l2 + Household_2_CA_3.l2 + Foods_1_CA_1.l2 + Foods_2_CA_1.l2 + Foods_3_CA_1.l2 + Foods_1_CA_2.l2 + Foods_2_CA_2.l2 + Foods_3_CA_2.l2 + Foods_1_CA_3.l2 + Foods_2_CA_3.l2 + Foods_3_CA_3.l2 + Hobbies_CA_1.l3 + Hobbies_CA_2.l3 + Hobbies_CA_3.l3 + Household_1_CA_1.l3 + Household_2_CA_1.l3 + Household_1_CA_2.l3 + Household_2_CA_2.l3 + Household_1_CA_3.l3 + Household_2_CA_3.l3 + Foods_1_CA_1.l3 + Foods_2_CA_1.l3 + Foods_3_CA_1.l3 + Foods_1_CA_2.l3 + Foods_2_CA_2.l3 + Foods_3_CA_2.l3 + Foods_1_CA_3.l3 + Foods_2_CA_3.l3 + Foods_3_CA_3.l3 + Hobbies_CA_1.l4 + Hobbies_CA_2.l4 + Hobbies_CA_3.l4 + Household_1_CA_1.l4 + Household_2_CA_1.l4 + Household_1_CA_2.l4 + Household_2_CA_2.l4 + Household_1_CA_3.l4 + Household_2_CA_3.l4 + Foods_1_CA_1.l4 + Foods_2_CA_1.l4 + Foods_3_CA_1.l4 + Foods_1_CA_2.l4 + Foods_2_CA_2.l4 + Foods_3_CA_2.l4 + Foods_1_CA_3.l4 + Foods_2_CA_3.l4 + Foods_3_CA_3.l4 + Hobbies_CA_1.l5 + Hobbies_CA_2.l5 + Hobbies_CA_3.l5 + Household_1_CA_1.l5 + Household_2_CA_1.l5 + Household_1_CA_2.l5 + Household_2_CA_2.l5 + Household_1_CA_3.l5 + Household_2_CA_3.l5 + Foods_1_CA_1.l5 + Foods_2_CA_1.l5 + Foods_3_CA_1.l5 + Foods_1_CA_2.l5 + Foods_2_CA_2.l5 + Foods_3_CA_2.l5 + Foods_1_CA_3.l5 + Foods_2_CA_3.l5 + Foods_3_CA_3.l5 + Hobbies_CA_1.l6 + Hobbies_CA_2.l6 + Hobbies_CA_3.l6 + Household_1_CA_1.l6 + Household_2_CA_1.l6 + Household_1_CA_2.l6 + Household_2_CA_2.l6 + Household_1_CA_3.l6 + Household_2_CA_3.l6 + Foods_1_CA_1.l6 + Foods_2_CA_1.l6 + Foods_3_CA_1.l6 + Foods_1_CA_2.l6 + Foods_2_CA_2.l6 + Foods_3_CA_2.l6 + Foods_1_CA_3.l6 + Foods_2_CA_3.l6 + Foods_3_CA_3.l6 + Hobbies_CA_1.l7 + Hobbies_CA_2.l7 + Hobbies_CA_3.l7 + Household_1_CA_1.l7 + Household_2_CA_1.l7 + Household_1_CA_2.l7 + Household_2_CA_2.l7 + Household_1_CA_3.l7 + Household_2_CA_3.l7 + Foods_1_CA_1.l7 + Foods_2_CA_1.l7 + Foods_3_CA_1.l7 + Foods_1_CA_2.l7 + Foods_2_CA_2.l7 + Foods_3_CA_2.l7 + Foods_1_CA_3.l7 + Foods_2_CA_3.l7 + Foods_3_CA_3.l7 + const 
## 
##                       Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_1.l1      0.0121817  0.0074776   1.629 0.103466    
## Hobbies_CA_2.l1     -0.0067904  0.0095571  -0.711 0.477475    
## Hobbies_CA_3.l1      0.0009464  0.0071038   0.133 0.894034    
## Household_1_CA_1.l1 -0.0146879  0.0177229  -0.829 0.407353    
## Household_2_CA_1.l1  0.0315384  0.0291668   1.081 0.279701    
## Household_1_CA_2.l1  0.0079653  0.0177580   0.449 0.653811    
## Household_2_CA_2.l1  0.0460653  0.0221705   2.078 0.037869 *  
## Household_1_CA_3.l1  0.0195044  0.0114235   1.707 0.087918 .  
## Household_2_CA_3.l1 -0.0324867  0.0199230  -1.631 0.103143    
## Foods_1_CA_1.l1      0.0155563  0.0202593   0.768 0.442671    
## Foods_2_CA_1.l1      0.0052505  0.0120941   0.434 0.664242    
## Foods_3_CA_1.l1     -0.0152889  0.0041722  -3.664 0.000255 ***
## Foods_1_CA_2.l1      0.2528743  0.0254499   9.936  < 2e-16 ***
## Foods_2_CA_2.l1      0.0467858  0.0190671   2.454 0.014230 *  
## Foods_3_CA_2.l1      0.0170493  0.0055514   3.071 0.002163 ** 
## Foods_1_CA_3.l1     -0.0054482  0.0162035  -0.336 0.736731    
## Foods_2_CA_3.l1     -0.0053814  0.0079918  -0.673 0.500796    
## Foods_3_CA_3.l1     -0.0038269  0.0031418  -1.218 0.223353    
## Hobbies_CA_1.l2      0.0012817  0.0075352   0.170 0.864955    
## Hobbies_CA_2.l2     -0.0153984  0.0094999  -1.621 0.105213    
## Hobbies_CA_3.l2      0.0079236  0.0071715   1.105 0.269357    
## Household_1_CA_1.l2  0.0007138  0.0179676   0.040 0.968317    
## Household_2_CA_1.l2 -0.0005497  0.0293527  -0.019 0.985060    
## Household_1_CA_2.l2 -0.0033728  0.0181895  -0.185 0.852917    
## Household_2_CA_2.l2 -0.0138777  0.0223460  -0.621 0.534652    
## Household_1_CA_3.l2  0.0054204  0.0118520   0.457 0.647480    
## Household_2_CA_3.l2  0.0066136  0.0200002   0.331 0.740928    
## Foods_1_CA_1.l2      0.0275151  0.0210428   1.308 0.191182    
## Foods_2_CA_1.l2     -0.0131452  0.0125279  -1.049 0.294191    
## Foods_3_CA_1.l2      0.0046826  0.0043470   1.077 0.281532    
## Foods_1_CA_2.l2      0.0478795  0.0261743   1.829 0.067524 .  
## Foods_2_CA_2.l2     -0.0113549  0.0194517  -0.584 0.559461    
## Foods_3_CA_2.l2     -0.0112695  0.0057157  -1.972 0.048797 *  
## Foods_1_CA_3.l2      0.0340849  0.0169193   2.015 0.044096 *  
## Foods_2_CA_3.l2      0.0118405  0.0085523   1.384 0.166380    
## Foods_3_CA_3.l2      0.0004000  0.0033434   0.120 0.904790    
## Hobbies_CA_1.l3      0.0100880  0.0075427   1.337 0.181236    
## Hobbies_CA_2.l3     -0.0133806  0.0095135  -1.406 0.159749    
## Hobbies_CA_3.l3      0.0004577  0.0071940   0.064 0.949273    
## Household_1_CA_1.l3 -0.0384286  0.0179148  -2.145 0.032078 *  
## Household_2_CA_1.l3  0.0489348  0.0293117   1.669 0.095196 .  
## Household_1_CA_2.l3  0.0075773  0.0183467   0.413 0.679650    
## Household_2_CA_2.l3  0.0159265  0.0224653   0.709 0.478454    
## Household_1_CA_3.l3  0.0031572  0.0119388   0.264 0.791464    
## Household_2_CA_3.l3 -0.0237460  0.0200809  -1.183 0.237155    
## Foods_1_CA_1.l3     -0.0342437  0.0210855  -1.624 0.104539    
## Foods_2_CA_1.l3      0.0028523  0.0126140   0.226 0.821134    
## Foods_3_CA_1.l3      0.0028679  0.0043723   0.656 0.511948    
## Foods_1_CA_2.l3      0.0149888  0.0261211   0.574 0.566160    
## Foods_2_CA_2.l3     -0.0042153  0.0194871  -0.216 0.828768    
## Foods_3_CA_2.l3     -0.0017853  0.0057679  -0.310 0.756962    
## Foods_1_CA_3.l3      0.0116371  0.0168771   0.690 0.490581    
## Foods_2_CA_3.l3     -0.0135610  0.0085589  -1.584 0.113268    
## Foods_3_CA_3.l3      0.0022147  0.0033551   0.660 0.509280    
## Hobbies_CA_1.l4      0.0024354  0.0075452   0.323 0.746901    
## Hobbies_CA_2.l4     -0.0011210  0.0095458  -0.117 0.906528    
## Hobbies_CA_3.l4      0.0106678  0.0071251   1.497 0.134511    
## Household_1_CA_1.l4 -0.0276203  0.0179251  -1.541 0.123520    
## Household_2_CA_1.l4 -0.0192506  0.0292109  -0.659 0.509964    
## Household_1_CA_2.l4  0.0115959  0.0184537   0.628 0.529834    
## Household_2_CA_2.l4 -0.0614518  0.0225403  -2.726 0.006466 ** 
## Household_1_CA_3.l4 -0.0066268  0.0118808  -0.558 0.577066    
## Household_2_CA_3.l4 -0.0159062  0.0201154  -0.791 0.429194    
## Foods_1_CA_1.l4      0.0368504  0.0210623   1.750 0.080357 .  
## Foods_2_CA_1.l4     -0.0137777  0.0125379  -1.099 0.271960    
## Foods_3_CA_1.l4      0.0095597  0.0043740   2.186 0.028973 *  
## Foods_1_CA_2.l4      0.0152232  0.0262026   0.581 0.561325    
## Foods_2_CA_2.l4     -0.0245407  0.0194839  -1.260 0.207996    
## Foods_3_CA_2.l4      0.0090692  0.0057456   1.578 0.114632    
## Foods_1_CA_3.l4     -0.0144576  0.0168027  -0.860 0.389662    
## Foods_2_CA_3.l4      0.0109305  0.0085583   1.277 0.201698    
## Foods_3_CA_3.l4     -0.0038746  0.0033651  -1.151 0.249716    
## Hobbies_CA_1.l5     -0.0017772  0.0075489  -0.235 0.813906    
## Hobbies_CA_2.l5      0.0043231  0.0095124   0.454 0.649544    
## Hobbies_CA_3.l5     -0.0174482  0.0071920  -2.426 0.015359 *  
## Household_1_CA_1.l5  0.0089761  0.0178895   0.502 0.615901    
## Household_2_CA_1.l5  0.0196411  0.0292795   0.671 0.502422    
## Household_1_CA_2.l5  0.0010018  0.0184445   0.054 0.956689    
## Household_2_CA_2.l5  0.0071989  0.0224918   0.320 0.748953    
## Household_1_CA_3.l5  0.0001392  0.0119406   0.012 0.990701    
## Household_2_CA_3.l5  0.0396615  0.0201474   1.969 0.049153 *  
## Foods_1_CA_1.l5      0.0323425  0.0211490   1.529 0.126370    
## Foods_2_CA_1.l5      0.0185386  0.0125787   1.474 0.140704    
## Foods_3_CA_1.l5     -0.0070228  0.0043809  -1.603 0.109095    
## Foods_1_CA_2.l5      0.0446324  0.0263702   1.693 0.090714 .  
## Foods_2_CA_2.l5     -0.0074303  0.0194960  -0.381 0.703157    
## Foods_3_CA_2.l5     -0.0085546  0.0057592  -1.485 0.137618    
## Foods_1_CA_3.l5     -0.0212503  0.0168655  -1.260 0.207834    
## Foods_2_CA_3.l5     -0.0017914  0.0085670  -0.209 0.834391    
## Foods_3_CA_3.l5      0.0010428  0.0033652   0.310 0.756690    
## Hobbies_CA_1.l6     -0.0040901  0.0075508  -0.542 0.588109    
## Hobbies_CA_2.l6     -0.0103517  0.0095119  -1.088 0.276609    
## Hobbies_CA_3.l6     -0.0001238  0.0071958  -0.017 0.986271    
## Household_1_CA_1.l6  0.0115319  0.0178747   0.645 0.518910    
## Household_2_CA_1.l6  0.0630650  0.0291957   2.160 0.030896 *  
## Household_1_CA_2.l6 -0.0234817  0.0183992  -1.276 0.202033    
## Household_2_CA_2.l6 -0.0192467  0.0225423  -0.854 0.393325    
## Household_1_CA_3.l6  0.0114723  0.0119254   0.962 0.336174    
## Household_2_CA_3.l6 -0.0033130  0.0201086  -0.165 0.869155    
## Foods_1_CA_1.l6     -0.0019366  0.0210561  -0.092 0.926729    
## Foods_2_CA_1.l6     -0.0005986  0.0125398  -0.048 0.961934    
## Foods_3_CA_1.l6      0.0011789  0.0043904   0.269 0.788326    
## Foods_1_CA_2.l6      0.1852050  0.0262053   7.067 2.23e-12 ***
## Foods_2_CA_2.l6      0.0230851  0.0194368   1.188 0.235106    
## Foods_3_CA_2.l6     -0.0044011  0.0057565  -0.765 0.444640    
## Foods_1_CA_3.l6     -0.0025316  0.0168388  -0.150 0.880509    
## Foods_2_CA_3.l6     -0.0053530  0.0085184  -0.628 0.529813    
## Foods_3_CA_3.l6     -0.0001617  0.0033314  -0.049 0.961286    
## Hobbies_CA_1.l7     -0.0093304  0.0075210  -1.241 0.214921    
## Hobbies_CA_2.l7      0.0007956  0.0094133   0.085 0.932655    
## Hobbies_CA_3.l7      0.0099273  0.0071568   1.387 0.165577    
## Household_1_CA_1.l7  0.0374801  0.0175855   2.131 0.033197 *  
## Household_2_CA_1.l7 -0.0115012  0.0291800  -0.394 0.693519    
## Household_1_CA_2.l7  0.0495081  0.0177425   2.790 0.005319 ** 
## Household_2_CA_2.l7 -0.0022311  0.0221473  -0.101 0.919768    
## Household_1_CA_3.l7 -0.0194548  0.0113746  -1.710 0.087365 .  
## Household_2_CA_3.l7  0.0057694  0.0201044   0.287 0.774166    
## Foods_1_CA_1.l7     -0.0852359  0.0201935  -4.221 2.55e-05 ***
## Foods_2_CA_1.l7     -0.0171759  0.0119503  -1.437 0.150811    
## Foods_3_CA_1.l7      0.0054428  0.0042435   1.283 0.199785    
## Foods_1_CA_2.l7      0.3007774  0.0257122  11.698  < 2e-16 ***
## Foods_2_CA_2.l7      0.0097413  0.0190669   0.511 0.609481    
## Foods_3_CA_2.l7      0.0174275  0.0055803   3.123 0.001818 ** 
## Foods_1_CA_3.l7     -0.0012752  0.0160487  -0.079 0.936679    
## Foods_2_CA_3.l7      0.0067634  0.0079555   0.850 0.395352    
## Foods_3_CA_3.l7     -0.0064009  0.0031239  -2.049 0.040604 *  
## const               -2.2962036  6.1636798  -0.373 0.709536    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 17.85 on 1835 degrees of freedom
## Multiple R-Squared: 0.9031,  Adjusted R-squared: 0.8965 
## F-statistic: 135.8 on 126 and 1835 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Foods_2_CA_2: 
## ============================================= 
## Foods_2_CA_2 = Hobbies_CA_1.l1 + Hobbies_CA_2.l1 + Hobbies_CA_3.l1 + Household_1_CA_1.l1 + Household_2_CA_1.l1 + Household_1_CA_2.l1 + Household_2_CA_2.l1 + Household_1_CA_3.l1 + Household_2_CA_3.l1 + Foods_1_CA_1.l1 + Foods_2_CA_1.l1 + Foods_3_CA_1.l1 + Foods_1_CA_2.l1 + Foods_2_CA_2.l1 + Foods_3_CA_2.l1 + Foods_1_CA_3.l1 + Foods_2_CA_3.l1 + Foods_3_CA_3.l1 + Hobbies_CA_1.l2 + Hobbies_CA_2.l2 + Hobbies_CA_3.l2 + Household_1_CA_1.l2 + Household_2_CA_1.l2 + Household_1_CA_2.l2 + Household_2_CA_2.l2 + Household_1_CA_3.l2 + Household_2_CA_3.l2 + Foods_1_CA_1.l2 + Foods_2_CA_1.l2 + Foods_3_CA_1.l2 + Foods_1_CA_2.l2 + Foods_2_CA_2.l2 + Foods_3_CA_2.l2 + Foods_1_CA_3.l2 + Foods_2_CA_3.l2 + Foods_3_CA_3.l2 + Hobbies_CA_1.l3 + Hobbies_CA_2.l3 + Hobbies_CA_3.l3 + Household_1_CA_1.l3 + Household_2_CA_1.l3 + Household_1_CA_2.l3 + Household_2_CA_2.l3 + Household_1_CA_3.l3 + Household_2_CA_3.l3 + Foods_1_CA_1.l3 + Foods_2_CA_1.l3 + Foods_3_CA_1.l3 + Foods_1_CA_2.l3 + Foods_2_CA_2.l3 + Foods_3_CA_2.l3 + Foods_1_CA_3.l3 + Foods_2_CA_3.l3 + Foods_3_CA_3.l3 + Hobbies_CA_1.l4 + Hobbies_CA_2.l4 + Hobbies_CA_3.l4 + Household_1_CA_1.l4 + Household_2_CA_1.l4 + Household_1_CA_2.l4 + Household_2_CA_2.l4 + Household_1_CA_3.l4 + Household_2_CA_3.l4 + Foods_1_CA_1.l4 + Foods_2_CA_1.l4 + Foods_3_CA_1.l4 + Foods_1_CA_2.l4 + Foods_2_CA_2.l4 + Foods_3_CA_2.l4 + Foods_1_CA_3.l4 + Foods_2_CA_3.l4 + Foods_3_CA_3.l4 + Hobbies_CA_1.l5 + Hobbies_CA_2.l5 + Hobbies_CA_3.l5 + Household_1_CA_1.l5 + Household_2_CA_1.l5 + Household_1_CA_2.l5 + Household_2_CA_2.l5 + Household_1_CA_3.l5 + Household_2_CA_3.l5 + Foods_1_CA_1.l5 + Foods_2_CA_1.l5 + Foods_3_CA_1.l5 + Foods_1_CA_2.l5 + Foods_2_CA_2.l5 + Foods_3_CA_2.l5 + Foods_1_CA_3.l5 + Foods_2_CA_3.l5 + Foods_3_CA_3.l5 + Hobbies_CA_1.l6 + Hobbies_CA_2.l6 + Hobbies_CA_3.l6 + Household_1_CA_1.l6 + Household_2_CA_1.l6 + Household_1_CA_2.l6 + Household_2_CA_2.l6 + Household_1_CA_3.l6 + Household_2_CA_3.l6 + Foods_1_CA_1.l6 + Foods_2_CA_1.l6 + Foods_3_CA_1.l6 + Foods_1_CA_2.l6 + Foods_2_CA_2.l6 + Foods_3_CA_2.l6 + Foods_1_CA_3.l6 + Foods_2_CA_3.l6 + Foods_3_CA_3.l6 + Hobbies_CA_1.l7 + Hobbies_CA_2.l7 + Hobbies_CA_3.l7 + Household_1_CA_1.l7 + Household_2_CA_1.l7 + Household_1_CA_2.l7 + Household_2_CA_2.l7 + Household_1_CA_3.l7 + Household_2_CA_3.l7 + Foods_1_CA_1.l7 + Foods_2_CA_1.l7 + Foods_3_CA_1.l7 + Foods_1_CA_2.l7 + Foods_2_CA_2.l7 + Foods_3_CA_2.l7 + Foods_1_CA_3.l7 + Foods_2_CA_3.l7 + Foods_3_CA_3.l7 + const 
## 
##                       Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_1.l1      1.178e-02  1.322e-02   0.891 0.372948    
## Hobbies_CA_2.l1      1.494e-02  1.690e-02   0.884 0.376804    
## Hobbies_CA_3.l1     -1.179e-02  1.256e-02  -0.938 0.348303    
## Household_1_CA_1.l1 -3.331e-02  3.134e-02  -1.063 0.288068    
## Household_2_CA_1.l1  1.096e-01  5.158e-02   2.125 0.033692 *  
## Household_1_CA_2.l1 -4.558e-02  3.140e-02  -1.451 0.146879    
## Household_2_CA_2.l1 -1.613e-02  3.921e-02  -0.411 0.680910    
## Household_1_CA_3.l1 -5.262e-04  2.020e-02  -0.026 0.979225    
## Household_2_CA_3.l1 -1.860e-02  3.523e-02  -0.528 0.597578    
## Foods_1_CA_1.l1      4.014e-02  3.583e-02   1.120 0.262667    
## Foods_2_CA_1.l1      5.556e-02  2.139e-02   2.598 0.009460 ** 
## Foods_3_CA_1.l1     -1.044e-02  7.378e-03  -1.416 0.157067    
## Foods_1_CA_2.l1     -5.303e-02  4.501e-02  -1.178 0.238835    
## Foods_2_CA_2.l1      2.950e-01  3.372e-02   8.748  < 2e-16 ***
## Foods_3_CA_2.l1      1.178e-02  9.817e-03   1.200 0.230186    
## Foods_1_CA_3.l1     -7.159e-02  2.866e-02  -2.498 0.012560 *  
## Foods_2_CA_3.l1      2.310e-02  1.413e-02   1.635 0.102308    
## Foods_3_CA_3.l1     -6.177e-03  5.556e-03  -1.112 0.266394    
## Hobbies_CA_1.l2      5.891e-03  1.333e-02   0.442 0.658465    
## Hobbies_CA_2.l2     -3.361e-02  1.680e-02  -2.001 0.045579 *  
## Hobbies_CA_3.l2      2.348e-03  1.268e-02   0.185 0.853144    
## Household_1_CA_1.l2  2.469e-02  3.178e-02   0.777 0.437331    
## Household_2_CA_1.l2 -5.041e-02  5.191e-02  -0.971 0.331579    
## Household_1_CA_2.l2 -5.252e-02  3.217e-02  -1.633 0.102712    
## Household_2_CA_2.l2 -8.062e-02  3.952e-02  -2.040 0.041487 *  
## Household_1_CA_3.l2  5.500e-03  2.096e-02   0.262 0.793025    
## Household_2_CA_3.l2 -5.180e-02  3.537e-02  -1.465 0.143227    
## Foods_1_CA_1.l2     -1.437e-02  3.721e-02  -0.386 0.699438    
## Foods_2_CA_1.l2     -1.931e-02  2.216e-02  -0.871 0.383596    
## Foods_3_CA_1.l2      2.185e-03  7.687e-03   0.284 0.776234    
## Foods_1_CA_2.l2      5.196e-03  4.629e-02   0.112 0.910629    
## Foods_2_CA_2.l2      5.906e-02  3.440e-02   1.717 0.086157 .  
## Foods_3_CA_2.l2     -8.872e-03  1.011e-02  -0.878 0.380210    
## Foods_1_CA_3.l2      3.962e-02  2.992e-02   1.324 0.185645    
## Foods_2_CA_3.l2     -1.375e-02  1.512e-02  -0.909 0.363436    
## Foods_3_CA_3.l2      1.075e-02  5.913e-03   1.818 0.069199 .  
## Hobbies_CA_1.l3      2.089e-02  1.334e-02   1.566 0.117542    
## Hobbies_CA_2.l3     -3.035e-02  1.682e-02  -1.804 0.071404 .  
## Hobbies_CA_3.l3      1.980e-03  1.272e-02   0.156 0.876318    
## Household_1_CA_1.l3  1.722e-02  3.168e-02   0.543 0.586934    
## Household_2_CA_1.l3  3.418e-02  5.184e-02   0.659 0.509793    
## Household_1_CA_2.l3  6.297e-02  3.245e-02   1.941 0.052434 .  
## Household_2_CA_2.l3  2.406e-02  3.973e-02   0.605 0.544924    
## Household_1_CA_3.l3 -3.029e-02  2.111e-02  -1.435 0.151589    
## Household_2_CA_3.l3 -5.769e-02  3.551e-02  -1.625 0.104429    
## Foods_1_CA_1.l3     -3.957e-02  3.729e-02  -1.061 0.288777    
## Foods_2_CA_1.l3      3.061e-03  2.231e-02   0.137 0.890866    
## Foods_3_CA_1.l3     -8.715e-03  7.732e-03  -1.127 0.259827    
## Foods_1_CA_2.l3      7.128e-02  4.619e-02   1.543 0.122968    
## Foods_2_CA_2.l3      5.164e-02  3.446e-02   1.498 0.134222    
## Foods_3_CA_2.l3     -1.349e-02  1.020e-02  -1.322 0.186230    
## Foods_1_CA_3.l3      2.171e-02  2.985e-02   0.727 0.467137    
## Foods_2_CA_3.l3      6.080e-04  1.514e-02   0.040 0.967964    
## Foods_3_CA_3.l3      4.554e-03  5.933e-03   0.768 0.442863    
## Hobbies_CA_1.l4      1.680e-02  1.334e-02   1.259 0.208155    
## Hobbies_CA_2.l4     -2.659e-02  1.688e-02  -1.575 0.115461    
## Hobbies_CA_3.l4      8.304e-05  1.260e-02   0.007 0.994742    
## Household_1_CA_1.l4 -6.126e-02  3.170e-02  -1.933 0.053436 .  
## Household_2_CA_1.l4 -1.004e-01  5.166e-02  -1.943 0.052143 .  
## Household_1_CA_2.l4  7.945e-03  3.263e-02   0.243 0.807683    
## Household_2_CA_2.l4 -4.882e-02  3.986e-02  -1.225 0.220802    
## Household_1_CA_3.l4  3.678e-02  2.101e-02   1.751 0.080168 .  
## Household_2_CA_3.l4  5.851e-03  3.557e-02   0.164 0.869367    
## Foods_1_CA_1.l4      1.532e-03  3.725e-02   0.041 0.967191    
## Foods_2_CA_1.l4     -5.722e-03  2.217e-02  -0.258 0.796395    
## Foods_3_CA_1.l4      6.409e-03  7.735e-03   0.829 0.407447    
## Foods_1_CA_2.l4     -1.266e-02  4.634e-02  -0.273 0.784662    
## Foods_2_CA_2.l4      1.073e-02  3.446e-02   0.311 0.755557    
## Foods_3_CA_2.l4      8.518e-03  1.016e-02   0.838 0.401956    
## Foods_1_CA_3.l4      3.316e-03  2.972e-02   0.112 0.911148    
## Foods_2_CA_3.l4      1.415e-02  1.514e-02   0.935 0.349967    
## Foods_3_CA_3.l4     -6.029e-03  5.951e-03  -1.013 0.311131    
## Hobbies_CA_1.l5     -5.060e-03  1.335e-02  -0.379 0.704731    
## Hobbies_CA_2.l5      1.908e-02  1.682e-02   1.134 0.256848    
## Hobbies_CA_3.l5      6.339e-03  1.272e-02   0.498 0.618257    
## Household_1_CA_1.l5 -3.657e-02  3.164e-02  -1.156 0.247822    
## Household_2_CA_1.l5 -3.748e-03  5.178e-02  -0.072 0.942300    
## Household_1_CA_2.l5 -3.158e-02  3.262e-02  -0.968 0.333058    
## Household_2_CA_2.l5 -1.497e-02  3.978e-02  -0.376 0.706659    
## Household_1_CA_3.l5  2.474e-02  2.112e-02   1.172 0.241513    
## Household_2_CA_3.l5  3.919e-02  3.563e-02   1.100 0.271525    
## Foods_1_CA_1.l5      3.693e-02  3.740e-02   0.987 0.323529    
## Foods_2_CA_1.l5      2.723e-02  2.225e-02   1.224 0.221082    
## Foods_3_CA_1.l5     -2.007e-02  7.747e-03  -2.591 0.009649 ** 
## Foods_1_CA_2.l5      1.861e-02  4.664e-02   0.399 0.689889    
## Foods_2_CA_2.l5      2.694e-03  3.448e-02   0.078 0.937739    
## Foods_3_CA_2.l5      2.459e-03  1.019e-02   0.241 0.809235    
## Foods_1_CA_3.l5     -7.727e-03  2.983e-02  -0.259 0.795624    
## Foods_2_CA_3.l5      8.791e-03  1.515e-02   0.580 0.561804    
## Foods_3_CA_3.l5      4.487e-03  5.951e-03   0.754 0.450976    
## Hobbies_CA_1.l6     -1.178e-02  1.335e-02  -0.883 0.377615    
## Hobbies_CA_2.l6      1.435e-02  1.682e-02   0.853 0.393864    
## Hobbies_CA_3.l6     -3.030e-03  1.273e-02  -0.238 0.811841    
## Household_1_CA_1.l6  2.191e-03  3.161e-02   0.069 0.944757    
## Household_2_CA_1.l6 -2.336e-02  5.163e-02  -0.452 0.650997    
## Household_1_CA_2.l6 -4.308e-02  3.254e-02  -1.324 0.185667    
## Household_2_CA_2.l6  2.821e-02  3.987e-02   0.708 0.479267    
## Household_1_CA_3.l6  1.310e-02  2.109e-02   0.621 0.534717    
## Household_2_CA_3.l6  6.878e-02  3.556e-02   1.934 0.053268 .  
## Foods_1_CA_1.l6      3.044e-02  3.724e-02   0.817 0.413758    
## Foods_2_CA_1.l6      1.080e-02  2.218e-02   0.487 0.626413    
## Foods_3_CA_1.l6      3.720e-03  7.764e-03   0.479 0.631884    
## Foods_1_CA_2.l6      1.795e-01  4.634e-02   3.874 0.000111 ***
## Foods_2_CA_2.l6      4.003e-02  3.437e-02   1.164 0.244405    
## Foods_3_CA_2.l6      4.291e-03  1.018e-02   0.421 0.673447    
## Foods_1_CA_3.l6     -1.373e-03  2.978e-02  -0.046 0.963224    
## Foods_2_CA_3.l6     -2.457e-02  1.506e-02  -1.631 0.103046    
## Foods_3_CA_3.l6     -1.880e-03  5.892e-03  -0.319 0.749639    
## Hobbies_CA_1.l7     -2.685e-04  1.330e-02  -0.020 0.983899    
## Hobbies_CA_2.l7      1.343e-02  1.665e-02   0.807 0.419904    
## Hobbies_CA_3.l7      1.279e-02  1.266e-02   1.010 0.312470    
## Household_1_CA_1.l7  2.033e-02  3.110e-02   0.654 0.513446    
## Household_2_CA_1.l7 -5.066e-02  5.160e-02  -0.982 0.326326    
## Household_1_CA_2.l7  9.573e-02  3.138e-02   3.051 0.002315 ** 
## Household_2_CA_2.l7  8.615e-02  3.917e-02   2.200 0.027958 *  
## Household_1_CA_3.l7 -5.621e-02  2.012e-02  -2.795 0.005251 ** 
## Household_2_CA_3.l7  6.116e-02  3.555e-02   1.720 0.085582 .  
## Foods_1_CA_1.l7     -4.367e-02  3.571e-02  -1.223 0.221567    
## Foods_2_CA_1.l7     -3.503e-03  2.113e-02  -0.166 0.868364    
## Foods_3_CA_1.l7      1.076e-02  7.504e-03   1.434 0.151757    
## Foods_1_CA_2.l7      7.062e-02  4.547e-02   1.553 0.120582    
## Foods_2_CA_2.l7      1.326e-01  3.372e-02   3.933 8.69e-05 ***
## Foods_3_CA_2.l7      1.313e-02  9.869e-03   1.331 0.183512    
## Foods_1_CA_3.l7     -3.315e-02  2.838e-02  -1.168 0.243018    
## Foods_2_CA_3.l7      2.305e-02  1.407e-02   1.639 0.101460    
## Foods_3_CA_3.l7     -6.920e-03  5.525e-03  -1.253 0.210514    
## const                4.813e+01  1.090e+01   4.416 1.06e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 31.58 on 1835 degrees of freedom
## Multiple R-Squared: 0.7462,  Adjusted R-squared: 0.7288 
## F-statistic: 42.83 on 126 and 1835 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Foods_3_CA_2: 
## ============================================= 
## Foods_3_CA_2 = Hobbies_CA_1.l1 + Hobbies_CA_2.l1 + Hobbies_CA_3.l1 + Household_1_CA_1.l1 + Household_2_CA_1.l1 + Household_1_CA_2.l1 + Household_2_CA_2.l1 + Household_1_CA_3.l1 + Household_2_CA_3.l1 + Foods_1_CA_1.l1 + Foods_2_CA_1.l1 + Foods_3_CA_1.l1 + Foods_1_CA_2.l1 + Foods_2_CA_2.l1 + Foods_3_CA_2.l1 + Foods_1_CA_3.l1 + Foods_2_CA_3.l1 + Foods_3_CA_3.l1 + Hobbies_CA_1.l2 + Hobbies_CA_2.l2 + Hobbies_CA_3.l2 + Household_1_CA_1.l2 + Household_2_CA_1.l2 + Household_1_CA_2.l2 + Household_2_CA_2.l2 + Household_1_CA_3.l2 + Household_2_CA_3.l2 + Foods_1_CA_1.l2 + Foods_2_CA_1.l2 + Foods_3_CA_1.l2 + Foods_1_CA_2.l2 + Foods_2_CA_2.l2 + Foods_3_CA_2.l2 + Foods_1_CA_3.l2 + Foods_2_CA_3.l2 + Foods_3_CA_3.l2 + Hobbies_CA_1.l3 + Hobbies_CA_2.l3 + Hobbies_CA_3.l3 + Household_1_CA_1.l3 + Household_2_CA_1.l3 + Household_1_CA_2.l3 + Household_2_CA_2.l3 + Household_1_CA_3.l3 + Household_2_CA_3.l3 + Foods_1_CA_1.l3 + Foods_2_CA_1.l3 + Foods_3_CA_1.l3 + Foods_1_CA_2.l3 + Foods_2_CA_2.l3 + Foods_3_CA_2.l3 + Foods_1_CA_3.l3 + Foods_2_CA_3.l3 + Foods_3_CA_3.l3 + Hobbies_CA_1.l4 + Hobbies_CA_2.l4 + Hobbies_CA_3.l4 + Household_1_CA_1.l4 + Household_2_CA_1.l4 + Household_1_CA_2.l4 + Household_2_CA_2.l4 + Household_1_CA_3.l4 + Household_2_CA_3.l4 + Foods_1_CA_1.l4 + Foods_2_CA_1.l4 + Foods_3_CA_1.l4 + Foods_1_CA_2.l4 + Foods_2_CA_2.l4 + Foods_3_CA_2.l4 + Foods_1_CA_3.l4 + Foods_2_CA_3.l4 + Foods_3_CA_3.l4 + Hobbies_CA_1.l5 + Hobbies_CA_2.l5 + Hobbies_CA_3.l5 + Household_1_CA_1.l5 + Household_2_CA_1.l5 + Household_1_CA_2.l5 + Household_2_CA_2.l5 + Household_1_CA_3.l5 + Household_2_CA_3.l5 + Foods_1_CA_1.l5 + Foods_2_CA_1.l5 + Foods_3_CA_1.l5 + Foods_1_CA_2.l5 + Foods_2_CA_2.l5 + Foods_3_CA_2.l5 + Foods_1_CA_3.l5 + Foods_2_CA_3.l5 + Foods_3_CA_3.l5 + Hobbies_CA_1.l6 + Hobbies_CA_2.l6 + Hobbies_CA_3.l6 + Household_1_CA_1.l6 + Household_2_CA_1.l6 + Household_1_CA_2.l6 + Household_2_CA_2.l6 + Household_1_CA_3.l6 + Household_2_CA_3.l6 + Foods_1_CA_1.l6 + Foods_2_CA_1.l6 + Foods_3_CA_1.l6 + Foods_1_CA_2.l6 + Foods_2_CA_2.l6 + Foods_3_CA_2.l6 + Foods_1_CA_3.l6 + Foods_2_CA_3.l6 + Foods_3_CA_3.l6 + Hobbies_CA_1.l7 + Hobbies_CA_2.l7 + Hobbies_CA_3.l7 + Household_1_CA_1.l7 + Household_2_CA_1.l7 + Household_1_CA_2.l7 + Household_2_CA_2.l7 + Household_1_CA_3.l7 + Household_2_CA_3.l7 + Foods_1_CA_1.l7 + Foods_2_CA_1.l7 + Foods_3_CA_1.l7 + Foods_1_CA_2.l7 + Foods_2_CA_2.l7 + Foods_3_CA_2.l7 + Foods_1_CA_3.l7 + Foods_2_CA_3.l7 + Foods_3_CA_3.l7 + const 
## 
##                       Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_1.l1       0.069235   0.058770   1.178 0.238922    
## Hobbies_CA_2.l1       0.084449   0.075113   1.124 0.261037    
## Hobbies_CA_3.l1      -0.063426   0.055832  -1.136 0.256102    
## Household_1_CA_1.l1  -0.324559   0.139292  -2.330 0.019911 *  
## Household_2_CA_1.l1   0.712693   0.229235   3.109 0.001906 ** 
## Household_1_CA_2.l1  -0.157716   0.139567  -1.130 0.258608    
## Household_2_CA_2.l1  -0.044756   0.174248  -0.257 0.797322    
## Household_1_CA_3.l1   0.110144   0.089782   1.227 0.220056    
## Household_2_CA_3.l1  -0.348030   0.156583  -2.223 0.026361 *  
## Foods_1_CA_1.l1      -0.023657   0.159227  -0.149 0.881905    
## Foods_2_CA_1.l1       0.070677   0.095053   0.744 0.457243    
## Foods_3_CA_1.l1      -0.011754   0.032791  -0.358 0.720048    
## Foods_1_CA_2.l1      -0.131884   0.200021  -0.659 0.509755    
## Foods_2_CA_2.l1       0.421848   0.149856   2.815 0.004930 ** 
## Foods_3_CA_2.l1       0.310638   0.043631   7.120 1.55e-12 ***
## Foods_1_CA_3.l1      -0.236829   0.127350  -1.860 0.063092 .  
## Foods_2_CA_3.l1      -0.042672   0.062811  -0.679 0.496982    
## Foods_3_CA_3.l1      -0.007072   0.024693  -0.286 0.774603    
## Hobbies_CA_1.l2       0.056984   0.059222   0.962 0.336068    
## Hobbies_CA_2.l2      -0.144985   0.074664  -1.942 0.052311 .  
## Hobbies_CA_3.l2       0.013278   0.056364   0.236 0.813781    
## Household_1_CA_1.l2   0.144962   0.141215   1.027 0.304775    
## Household_2_CA_1.l2  -0.151314   0.230695  -0.656 0.511968    
## Household_1_CA_2.l2  -0.552537   0.142959  -3.865 0.000115 ***
## Household_2_CA_2.l2  -0.461997   0.175627  -2.631 0.008596 ** 
## Household_1_CA_3.l2  -0.087835   0.093150  -0.943 0.345833    
## Household_2_CA_3.l2  -0.053191   0.157190  -0.338 0.735112    
## Foods_1_CA_1.l2      -0.037328   0.165385  -0.226 0.821459    
## Foods_2_CA_1.l2      -0.038320   0.098462  -0.389 0.697181    
## Foods_3_CA_1.l2      -0.027727   0.034165  -0.812 0.417152    
## Foods_1_CA_2.l2      -0.024037   0.205715  -0.117 0.906996    
## Foods_2_CA_2.l2      -0.185592   0.152880  -1.214 0.224913    
## Foods_3_CA_2.l2       0.102690   0.044922   2.286 0.022370 *  
## Foods_1_CA_3.l2       0.113682   0.132976   0.855 0.392715    
## Foods_2_CA_3.l2      -0.034511   0.067216  -0.513 0.607714    
## Foods_3_CA_3.l2       0.063283   0.026277   2.408 0.016125 *  
## Hobbies_CA_1.l3       0.015047   0.059281   0.254 0.799661    
## Hobbies_CA_2.l3      -0.067303   0.074771  -0.900 0.368168    
## Hobbies_CA_3.l3      -0.019805   0.056540  -0.350 0.726175    
## Household_1_CA_1.l3   0.111214   0.140800   0.790 0.429704    
## Household_2_CA_1.l3   0.385588   0.230373   1.674 0.094349 .  
## Household_1_CA_2.l3   0.374860   0.144195   2.600 0.009406 ** 
## Household_2_CA_2.l3   0.030082   0.176565   0.170 0.864734    
## Household_1_CA_3.l3  -0.122944   0.093832  -1.310 0.190276    
## Household_2_CA_3.l3  -0.064919   0.157824  -0.411 0.680875    
## Foods_1_CA_1.l3      -0.047594   0.165720  -0.287 0.773995    
## Foods_2_CA_1.l3       0.017023   0.099139   0.172 0.863684    
## Foods_3_CA_1.l3      -0.061187   0.034364  -1.781 0.075146 .  
## Foods_1_CA_2.l3       0.329495   0.205297   1.605 0.108674    
## Foods_2_CA_2.l3      -0.108185   0.153157  -0.706 0.480049    
## Foods_3_CA_2.l3      -0.009170   0.045332  -0.202 0.839717    
## Foods_1_CA_3.l3       0.086801   0.132644   0.654 0.512942    
## Foods_2_CA_3.l3       0.044459   0.067268   0.661 0.508744    
## Foods_3_CA_3.l3       0.001342   0.026369   0.051 0.959403    
## Hobbies_CA_1.l4       0.028594   0.059301   0.482 0.629731    
## Hobbies_CA_2.l4      -0.038886   0.075025  -0.518 0.604307    
## Hobbies_CA_3.l4       0.056031   0.056000   1.001 0.317170    
## Household_1_CA_1.l4  -0.295273   0.140881  -2.096 0.036228 *  
## Household_2_CA_1.l4  -0.370168   0.229581  -1.612 0.107055    
## Household_1_CA_2.l4   0.022269   0.145036   0.154 0.877986    
## Household_2_CA_2.l4  -0.360291   0.177154  -2.034 0.042118 *  
## Household_1_CA_3.l4   0.017976   0.093377   0.193 0.847362    
## Household_2_CA_3.l4  -0.158562   0.158096  -1.003 0.316017    
## Foods_1_CA_1.l4       0.092371   0.165538   0.558 0.576907    
## Foods_2_CA_1.l4      -0.095198   0.098540  -0.966 0.334133    
## Foods_3_CA_1.l4       0.046082   0.034377   1.341 0.180248    
## Foods_1_CA_2.l4       0.007214   0.205938   0.035 0.972060    
## Foods_2_CA_2.l4      -0.162122   0.153132  -1.059 0.289872    
## Foods_3_CA_2.l4       0.082502   0.045157   1.827 0.067863 .  
## Foods_1_CA_3.l4      -0.072425   0.132059  -0.548 0.583463    
## Foods_2_CA_3.l4       0.032784   0.067263   0.487 0.626036    
## Foods_3_CA_3.l4       0.003202   0.026448   0.121 0.903637    
## Hobbies_CA_1.l5      -0.022423   0.059330  -0.378 0.705517    
## Hobbies_CA_2.l5       0.117299   0.074762   1.569 0.116830    
## Hobbies_CA_3.l5      -0.021307   0.056525  -0.377 0.706249    
## Household_1_CA_1.l5  -0.074616   0.140601  -0.531 0.595695    
## Household_2_CA_1.l5   0.065421   0.230120   0.284 0.776219    
## Household_1_CA_2.l5  -0.099850   0.144963  -0.689 0.491036    
## Household_2_CA_2.l5  -0.229385   0.176773  -1.298 0.194579    
## Household_1_CA_3.l5   0.202500   0.093846   2.158 0.031074 *  
## Household_2_CA_3.l5   0.101569   0.158347   0.641 0.521323    
## Foods_1_CA_1.l5       0.072492   0.166219   0.436 0.662799    
## Foods_2_CA_1.l5       0.203565   0.098861   2.059 0.039626 *  
## Foods_3_CA_1.l5      -0.117793   0.034431  -3.421 0.000637 ***
## Foods_1_CA_2.l5      -0.019541   0.207255  -0.094 0.924894    
## Foods_2_CA_2.l5      -0.183900   0.153227  -1.200 0.230224    
## Foods_3_CA_2.l5       0.061494   0.045264   1.359 0.174459    
## Foods_1_CA_3.l5      -0.066618   0.132553  -0.503 0.615323    
## Foods_2_CA_3.l5      -0.049412   0.067332  -0.734 0.463128    
## Foods_3_CA_3.l5       0.028879   0.026449   1.092 0.275032    
## Hobbies_CA_1.l6      -0.109765   0.059345  -1.850 0.064533 .  
## Hobbies_CA_2.l6       0.043085   0.074758   0.576 0.564467    
## Hobbies_CA_3.l6      -0.030345   0.056555  -0.537 0.591635    
## Household_1_CA_1.l6   0.020640   0.140485   0.147 0.883210    
## Household_2_CA_1.l6  -0.007089   0.229462  -0.031 0.975356    
## Household_1_CA_2.l6  -0.008619   0.144607  -0.060 0.952478    
## Household_2_CA_2.l6   0.019365   0.177170   0.109 0.912975    
## Household_1_CA_3.l6   0.107897   0.093727   1.151 0.249806    
## Household_2_CA_3.l6   0.330525   0.158042   2.091 0.036632 *  
## Foods_1_CA_1.l6       0.122007   0.165489   0.737 0.461064    
## Foods_2_CA_1.l6       0.017832   0.098556   0.181 0.856442    
## Foods_3_CA_1.l6       0.074910   0.034506   2.171 0.030065 *  
## Foods_1_CA_2.l6       0.408917   0.205959   1.985 0.047245 *  
## Foods_2_CA_2.l6      -0.188753   0.152762  -1.236 0.216765    
## Foods_3_CA_2.l6       0.070916   0.045243   1.567 0.117177    
## Foods_1_CA_3.l6       0.086664   0.132344   0.655 0.512652    
## Foods_2_CA_3.l6       0.015346   0.066949   0.229 0.818730    
## Foods_3_CA_3.l6      -0.053103   0.026183  -2.028 0.042692 *  
## Hobbies_CA_1.l7       0.004640   0.059111   0.079 0.937439    
## Hobbies_CA_2.l7       0.031864   0.073983   0.431 0.666743    
## Hobbies_CA_3.l7       0.080278   0.056248   1.427 0.153691    
## Household_1_CA_1.l7   0.115939   0.138212   0.839 0.401664    
## Household_2_CA_1.l7  -0.323197   0.229338  -1.409 0.158927    
## Household_1_CA_2.l7   0.807816   0.139446   5.793 8.12e-09 ***
## Household_2_CA_2.l7   0.320493   0.174065   1.841 0.065750 .  
## Household_1_CA_3.l7  -0.244138   0.089398  -2.731 0.006376 ** 
## Household_2_CA_3.l7   0.364947   0.158009   2.310 0.021018 *  
## Foods_1_CA_1.l7      -0.506688   0.158709  -3.193 0.001434 ** 
## Foods_2_CA_1.l7       0.030545   0.093923   0.325 0.745053    
## Foods_3_CA_1.l7       0.097416   0.033351   2.921 0.003533 ** 
## Foods_1_CA_2.l7       0.630232   0.202083   3.119 0.001845 ** 
## Foods_2_CA_2.l7      -0.112732   0.149855  -0.752 0.451983    
## Foods_3_CA_2.l7       0.205219   0.043858   4.679 3.09e-06 ***
## Foods_1_CA_3.l7      -0.100159   0.126134  -0.794 0.427258    
## Foods_2_CA_3.l7       0.087630   0.062526   1.401 0.161236    
## Foods_3_CA_3.l7      -0.044705   0.024552  -1.821 0.068797 .  
## const               223.678813  48.443000   4.617 4.16e-06 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 140.3 on 1835 degrees of freedom
## Multiple R-Squared: 0.8294,  Adjusted R-squared: 0.8177 
## F-statistic: 70.81 on 126 and 1835 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Foods_1_CA_3: 
## ============================================= 
## Foods_1_CA_3 = Hobbies_CA_1.l1 + Hobbies_CA_2.l1 + Hobbies_CA_3.l1 + Household_1_CA_1.l1 + Household_2_CA_1.l1 + Household_1_CA_2.l1 + Household_2_CA_2.l1 + Household_1_CA_3.l1 + Household_2_CA_3.l1 + Foods_1_CA_1.l1 + Foods_2_CA_1.l1 + Foods_3_CA_1.l1 + Foods_1_CA_2.l1 + Foods_2_CA_2.l1 + Foods_3_CA_2.l1 + Foods_1_CA_3.l1 + Foods_2_CA_3.l1 + Foods_3_CA_3.l1 + Hobbies_CA_1.l2 + Hobbies_CA_2.l2 + Hobbies_CA_3.l2 + Household_1_CA_1.l2 + Household_2_CA_1.l2 + Household_1_CA_2.l2 + Household_2_CA_2.l2 + Household_1_CA_3.l2 + Household_2_CA_3.l2 + Foods_1_CA_1.l2 + Foods_2_CA_1.l2 + Foods_3_CA_1.l2 + Foods_1_CA_2.l2 + Foods_2_CA_2.l2 + Foods_3_CA_2.l2 + Foods_1_CA_3.l2 + Foods_2_CA_3.l2 + Foods_3_CA_3.l2 + Hobbies_CA_1.l3 + Hobbies_CA_2.l3 + Hobbies_CA_3.l3 + Household_1_CA_1.l3 + Household_2_CA_1.l3 + Household_1_CA_2.l3 + Household_2_CA_2.l3 + Household_1_CA_3.l3 + Household_2_CA_3.l3 + Foods_1_CA_1.l3 + Foods_2_CA_1.l3 + Foods_3_CA_1.l3 + Foods_1_CA_2.l3 + Foods_2_CA_2.l3 + Foods_3_CA_2.l3 + Foods_1_CA_3.l3 + Foods_2_CA_3.l3 + Foods_3_CA_3.l3 + Hobbies_CA_1.l4 + Hobbies_CA_2.l4 + Hobbies_CA_3.l4 + Household_1_CA_1.l4 + Household_2_CA_1.l4 + Household_1_CA_2.l4 + Household_2_CA_2.l4 + Household_1_CA_3.l4 + Household_2_CA_3.l4 + Foods_1_CA_1.l4 + Foods_2_CA_1.l4 + Foods_3_CA_1.l4 + Foods_1_CA_2.l4 + Foods_2_CA_2.l4 + Foods_3_CA_2.l4 + Foods_1_CA_3.l4 + Foods_2_CA_3.l4 + Foods_3_CA_3.l4 + Hobbies_CA_1.l5 + Hobbies_CA_2.l5 + Hobbies_CA_3.l5 + Household_1_CA_1.l5 + Household_2_CA_1.l5 + Household_1_CA_2.l5 + Household_2_CA_2.l5 + Household_1_CA_3.l5 + Household_2_CA_3.l5 + Foods_1_CA_1.l5 + Foods_2_CA_1.l5 + Foods_3_CA_1.l5 + Foods_1_CA_2.l5 + Foods_2_CA_2.l5 + Foods_3_CA_2.l5 + Foods_1_CA_3.l5 + Foods_2_CA_3.l5 + Foods_3_CA_3.l5 + Hobbies_CA_1.l6 + Hobbies_CA_2.l6 + Hobbies_CA_3.l6 + Household_1_CA_1.l6 + Household_2_CA_1.l6 + Household_1_CA_2.l6 + Household_2_CA_2.l6 + Household_1_CA_3.l6 + Household_2_CA_3.l6 + Foods_1_CA_1.l6 + Foods_2_CA_1.l6 + Foods_3_CA_1.l6 + Foods_1_CA_2.l6 + Foods_2_CA_2.l6 + Foods_3_CA_2.l6 + Foods_1_CA_3.l6 + Foods_2_CA_3.l6 + Foods_3_CA_3.l6 + Hobbies_CA_1.l7 + Hobbies_CA_2.l7 + Hobbies_CA_3.l7 + Household_1_CA_1.l7 + Household_2_CA_1.l7 + Household_1_CA_2.l7 + Household_2_CA_2.l7 + Household_1_CA_3.l7 + Household_2_CA_3.l7 + Foods_1_CA_1.l7 + Foods_2_CA_1.l7 + Foods_3_CA_1.l7 + Foods_1_CA_2.l7 + Foods_2_CA_2.l7 + Foods_3_CA_2.l7 + Foods_1_CA_3.l7 + Foods_2_CA_3.l7 + Foods_3_CA_3.l7 + const 
## 
##                       Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_1.l1      9.486e-03  1.319e-02   0.719  0.47209    
## Hobbies_CA_2.l1     -3.313e-02  1.686e-02  -1.965  0.04953 *  
## Hobbies_CA_3.l1     -1.601e-02  1.253e-02  -1.277  0.20163    
## Household_1_CA_1.l1 -2.808e-02  3.126e-02  -0.898  0.36923    
## Household_2_CA_1.l1 -1.698e-02  5.145e-02  -0.330  0.74143    
## Household_1_CA_2.l1  5.419e-02  3.132e-02   1.730  0.08377 .  
## Household_2_CA_2.l1  7.484e-02  3.911e-02   1.914  0.05580 .  
## Household_1_CA_3.l1  2.121e-02  2.015e-02   1.053  0.29259    
## Household_2_CA_3.l1 -1.588e-02  3.514e-02  -0.452  0.65131    
## Foods_1_CA_1.l1      2.641e-01  3.573e-02   7.390 2.22e-13 ***
## Foods_2_CA_1.l1     -3.759e-03  2.133e-02  -0.176  0.86013    
## Foods_3_CA_1.l1     -8.892e-03  7.359e-03  -1.208  0.22708    
## Foods_1_CA_2.l1      6.115e-02  4.489e-02   1.362  0.17332    
## Foods_2_CA_2.l1      6.879e-02  3.363e-02   2.045  0.04095 *  
## Foods_3_CA_2.l1     -2.282e-02  9.792e-03  -2.331  0.01987 *  
## Foods_1_CA_3.l1      2.920e-01  2.858e-02  10.216  < 2e-16 ***
## Foods_2_CA_3.l1     -3.692e-02  1.410e-02  -2.619  0.00888 ** 
## Foods_3_CA_3.l1      7.289e-03  5.542e-03   1.315  0.18859    
## Hobbies_CA_1.l2      1.618e-02  1.329e-02   1.217  0.22357    
## Hobbies_CA_2.l2     -3.531e-02  1.676e-02  -2.107  0.03525 *  
## Hobbies_CA_3.l2      1.159e-02  1.265e-02   0.917  0.35946    
## Household_1_CA_1.l2 -6.202e-03  3.169e-02  -0.196  0.84488    
## Household_2_CA_1.l2  2.310e-02  5.177e-02   0.446  0.65548    
## Household_1_CA_2.l2 -5.921e-02  3.208e-02  -1.846  0.06512 .  
## Household_2_CA_2.l2  6.238e-03  3.942e-02   0.158  0.87426    
## Household_1_CA_3.l2 -5.067e-02  2.091e-02  -2.424  0.01546 *  
## Household_2_CA_3.l2 -5.124e-02  3.528e-02  -1.452  0.14658    
## Foods_1_CA_1.l2      7.099e-02  3.712e-02   1.912  0.05597 .  
## Foods_2_CA_1.l2     -2.004e-02  2.210e-02  -0.907  0.36466    
## Foods_3_CA_1.l2     -2.880e-03  7.667e-03  -0.376  0.70720    
## Foods_1_CA_2.l2     -2.633e-02  4.617e-02  -0.570  0.56849    
## Foods_2_CA_2.l2      2.125e-02  3.431e-02   0.619  0.53581    
## Foods_3_CA_2.l2     -1.028e-02  1.008e-02  -1.019  0.30818    
## Foods_1_CA_3.l2      1.285e-01  2.984e-02   4.306 1.75e-05 ***
## Foods_2_CA_3.l2      1.707e-02  1.509e-02   1.131  0.25801    
## Foods_3_CA_3.l2      7.959e-03  5.897e-03   1.350  0.17732    
## Hobbies_CA_1.l3     -2.604e-04  1.330e-02  -0.020  0.98439    
## Hobbies_CA_2.l3     -3.107e-02  1.678e-02  -1.852  0.06423 .  
## Hobbies_CA_3.l3      6.747e-03  1.269e-02   0.532  0.59501    
## Household_1_CA_1.l3 -5.445e-02  3.160e-02  -1.723  0.08505 .  
## Household_2_CA_1.l3  2.130e-02  5.170e-02   0.412  0.68044    
## Household_1_CA_2.l3 -1.726e-02  3.236e-02  -0.534  0.59375    
## Household_2_CA_2.l3 -3.552e-02  3.963e-02  -0.896  0.37019    
## Household_1_CA_3.l3  4.521e-03  2.106e-02   0.215  0.83002    
## Household_2_CA_3.l3 -3.939e-02  3.542e-02  -1.112  0.26625    
## Foods_1_CA_1.l3      1.017e-02  3.719e-02   0.274  0.78446    
## Foods_2_CA_1.l3      3.164e-02  2.225e-02   1.422  0.15520    
## Foods_3_CA_1.l3      4.238e-04  7.712e-03   0.055  0.95618    
## Foods_1_CA_2.l3      1.139e-01  4.607e-02   2.472  0.01352 *  
## Foods_2_CA_2.l3     -2.130e-02  3.437e-02  -0.620  0.53555    
## Foods_3_CA_2.l3      2.689e-03  1.017e-02   0.264  0.79158    
## Foods_1_CA_3.l3      5.869e-02  2.977e-02   1.972  0.04881 *  
## Foods_2_CA_3.l3      4.748e-03  1.510e-02   0.314  0.75319    
## Foods_3_CA_3.l3     -3.650e-03  5.918e-03  -0.617  0.53750    
## Hobbies_CA_1.l4      2.784e-02  1.331e-02   2.092  0.03661 *  
## Hobbies_CA_2.l4     -1.592e-02  1.684e-02  -0.946  0.34443    
## Hobbies_CA_3.l4      3.090e-04  1.257e-02   0.025  0.98039    
## Household_1_CA_1.l4 -3.102e-02  3.162e-02  -0.981  0.32668    
## Household_2_CA_1.l4 -8.621e-02  5.152e-02  -1.673  0.09447 .  
## Household_1_CA_2.l4 -2.669e-02  3.255e-02  -0.820  0.41235    
## Household_2_CA_2.l4 -7.946e-02  3.976e-02  -1.999  0.04579 *  
## Household_1_CA_3.l4 -3.027e-02  2.096e-02  -1.444  0.14883    
## Household_2_CA_3.l4 -2.011e-02  3.548e-02  -0.567  0.57095    
## Foods_1_CA_1.l4      1.722e-02  3.715e-02   0.464  0.64299    
## Foods_2_CA_1.l4     -6.167e-03  2.212e-02  -0.279  0.78040    
## Foods_3_CA_1.l4      4.868e-03  7.715e-03   0.631  0.52817    
## Foods_1_CA_2.l4      6.434e-02  4.622e-02   1.392  0.16406    
## Foods_2_CA_2.l4     -1.792e-02  3.437e-02  -0.521  0.60221    
## Foods_3_CA_2.l4      1.631e-02  1.013e-02   1.609  0.10780    
## Foods_1_CA_3.l4      2.780e-02  2.964e-02   0.938  0.34837    
## Foods_2_CA_3.l4      4.743e-03  1.510e-02   0.314  0.75342    
## Foods_3_CA_3.l4      7.567e-03  5.936e-03   1.275  0.20249    
## Hobbies_CA_1.l5      1.427e-02  1.332e-02   1.071  0.28416    
## Hobbies_CA_2.l5      1.172e-03  1.678e-02   0.070  0.94432    
## Hobbies_CA_3.l5      7.761e-03  1.269e-02   0.612  0.54073    
## Household_1_CA_1.l5 -2.104e-02  3.155e-02  -0.667  0.50504    
## Household_2_CA_1.l5  1.014e-01  5.165e-02   1.964  0.04965 *  
## Household_1_CA_2.l5 -2.111e-02  3.253e-02  -0.649  0.51644    
## Household_2_CA_2.l5 -7.834e-02  3.967e-02  -1.975  0.04846 *  
## Household_1_CA_3.l5  1.014e-02  2.106e-02   0.481  0.63030    
## Household_2_CA_3.l5  5.928e-02  3.554e-02   1.668  0.09546 .  
## Foods_1_CA_1.l5     -3.327e-02  3.730e-02  -0.892  0.37253    
## Foods_2_CA_1.l5      5.400e-02  2.219e-02   2.434  0.01504 *  
## Foods_3_CA_1.l5     -2.161e-02  7.727e-03  -2.796  0.00522 ** 
## Foods_1_CA_2.l5     -6.050e-02  4.651e-02  -1.301  0.19351    
## Foods_2_CA_2.l5     -2.235e-02  3.439e-02  -0.650  0.51575    
## Foods_3_CA_2.l5      1.736e-03  1.016e-02   0.171  0.86429    
## Foods_1_CA_3.l5      5.791e-02  2.975e-02   1.947  0.05173 .  
## Foods_2_CA_3.l5     -2.501e-02  1.511e-02  -1.655  0.09813 .  
## Foods_3_CA_3.l5     -3.507e-03  5.936e-03  -0.591  0.55470    
## Hobbies_CA_1.l6     -1.916e-02  1.332e-02  -1.439  0.15044    
## Hobbies_CA_2.l6     -1.773e-03  1.678e-02  -0.106  0.91585    
## Hobbies_CA_3.l6      2.493e-02  1.269e-02   1.965  0.04962 *  
## Household_1_CA_1.l6  4.061e-02  3.153e-02   1.288  0.19789    
## Household_2_CA_1.l6 -2.813e-03  5.150e-02  -0.055  0.95645    
## Household_1_CA_2.l6 -4.813e-02  3.245e-02  -1.483  0.13820    
## Household_2_CA_2.l6 -4.491e-02  3.976e-02  -1.130  0.25883    
## Household_1_CA_3.l6  1.539e-02  2.103e-02   0.732  0.46448    
## Household_2_CA_3.l6  7.757e-02  3.547e-02   2.187  0.02886 *  
## Foods_1_CA_1.l6      1.993e-02  3.714e-02   0.537  0.59165    
## Foods_2_CA_1.l6     -4.436e-03  2.212e-02  -0.201  0.84108    
## Foods_3_CA_1.l6     -8.870e-03  7.744e-03  -1.145  0.25219    
## Foods_1_CA_2.l6     -1.051e-01  4.622e-02  -2.273  0.02313 *  
## Foods_2_CA_2.l6      1.951e-02  3.428e-02   0.569  0.56943    
## Foods_3_CA_2.l6      8.990e-03  1.015e-02   0.885  0.37607    
## Foods_1_CA_3.l6      1.511e-03  2.970e-02   0.051  0.95943    
## Foods_2_CA_3.l6      9.310e-03  1.503e-02   0.620  0.53559    
## Foods_3_CA_3.l6     -3.223e-04  5.876e-03  -0.055  0.95626    
## Hobbies_CA_1.l7      1.272e-03  1.327e-02   0.096  0.92365    
## Hobbies_CA_2.l7     -1.329e-03  1.660e-02  -0.080  0.93621    
## Hobbies_CA_3.l7     -4.457e-03  1.262e-02  -0.353  0.72405    
## Household_1_CA_1.l7  6.233e-02  3.102e-02   2.009  0.04465 *  
## Household_2_CA_1.l7  1.359e-02  5.147e-02   0.264  0.79173    
## Household_1_CA_2.l7  1.376e-01  3.130e-02   4.396 1.16e-05 ***
## Household_2_CA_2.l7  6.006e-02  3.906e-02   1.537  0.12436    
## Household_1_CA_3.l7  5.603e-03  2.006e-02   0.279  0.78007    
## Household_2_CA_3.l7  9.438e-03  3.546e-02   0.266  0.79015    
## Foods_1_CA_1.l7     -5.660e-02  3.562e-02  -1.589  0.11223    
## Foods_2_CA_1.l7      5.236e-05  2.108e-02   0.002  0.99802    
## Foods_3_CA_1.l7      1.951e-02  7.485e-03   2.607  0.00921 ** 
## Foods_1_CA_2.l7      6.299e-02  4.535e-02   1.389  0.16502    
## Foods_2_CA_2.l7      8.837e-03  3.363e-02   0.263  0.79276    
## Foods_3_CA_2.l7     -4.985e-03  9.843e-03  -0.506  0.61258    
## Foods_1_CA_3.l7     -6.270e-02  2.831e-02  -2.215  0.02688 *  
## Foods_2_CA_3.l7      2.914e-02  1.403e-02   2.076  0.03801 *  
## Foods_3_CA_3.l7     -1.404e-02  5.510e-03  -2.548  0.01091 *  
## const                7.381e+01  1.087e+01   6.789 1.52e-11 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 31.49 on 1835 degrees of freedom
## Multiple R-Squared: 0.5995,  Adjusted R-squared: 0.572 
## F-statistic:  21.8 on 126 and 1835 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Foods_2_CA_3: 
## ============================================= 
## Foods_2_CA_3 = Hobbies_CA_1.l1 + Hobbies_CA_2.l1 + Hobbies_CA_3.l1 + Household_1_CA_1.l1 + Household_2_CA_1.l1 + Household_1_CA_2.l1 + Household_2_CA_2.l1 + Household_1_CA_3.l1 + Household_2_CA_3.l1 + Foods_1_CA_1.l1 + Foods_2_CA_1.l1 + Foods_3_CA_1.l1 + Foods_1_CA_2.l1 + Foods_2_CA_2.l1 + Foods_3_CA_2.l1 + Foods_1_CA_3.l1 + Foods_2_CA_3.l1 + Foods_3_CA_3.l1 + Hobbies_CA_1.l2 + Hobbies_CA_2.l2 + Hobbies_CA_3.l2 + Household_1_CA_1.l2 + Household_2_CA_1.l2 + Household_1_CA_2.l2 + Household_2_CA_2.l2 + Household_1_CA_3.l2 + Household_2_CA_3.l2 + Foods_1_CA_1.l2 + Foods_2_CA_1.l2 + Foods_3_CA_1.l2 + Foods_1_CA_2.l2 + Foods_2_CA_2.l2 + Foods_3_CA_2.l2 + Foods_1_CA_3.l2 + Foods_2_CA_3.l2 + Foods_3_CA_3.l2 + Hobbies_CA_1.l3 + Hobbies_CA_2.l3 + Hobbies_CA_3.l3 + Household_1_CA_1.l3 + Household_2_CA_1.l3 + Household_1_CA_2.l3 + Household_2_CA_2.l3 + Household_1_CA_3.l3 + Household_2_CA_3.l3 + Foods_1_CA_1.l3 + Foods_2_CA_1.l3 + Foods_3_CA_1.l3 + Foods_1_CA_2.l3 + Foods_2_CA_2.l3 + Foods_3_CA_2.l3 + Foods_1_CA_3.l3 + Foods_2_CA_3.l3 + Foods_3_CA_3.l3 + Hobbies_CA_1.l4 + Hobbies_CA_2.l4 + Hobbies_CA_3.l4 + Household_1_CA_1.l4 + Household_2_CA_1.l4 + Household_1_CA_2.l4 + Household_2_CA_2.l4 + Household_1_CA_3.l4 + Household_2_CA_3.l4 + Foods_1_CA_1.l4 + Foods_2_CA_1.l4 + Foods_3_CA_1.l4 + Foods_1_CA_2.l4 + Foods_2_CA_2.l4 + Foods_3_CA_2.l4 + Foods_1_CA_3.l4 + Foods_2_CA_3.l4 + Foods_3_CA_3.l4 + Hobbies_CA_1.l5 + Hobbies_CA_2.l5 + Hobbies_CA_3.l5 + Household_1_CA_1.l5 + Household_2_CA_1.l5 + Household_1_CA_2.l5 + Household_2_CA_2.l5 + Household_1_CA_3.l5 + Household_2_CA_3.l5 + Foods_1_CA_1.l5 + Foods_2_CA_1.l5 + Foods_3_CA_1.l5 + Foods_1_CA_2.l5 + Foods_2_CA_2.l5 + Foods_3_CA_2.l5 + Foods_1_CA_3.l5 + Foods_2_CA_3.l5 + Foods_3_CA_3.l5 + Hobbies_CA_1.l6 + Hobbies_CA_2.l6 + Hobbies_CA_3.l6 + Household_1_CA_1.l6 + Household_2_CA_1.l6 + Household_1_CA_2.l6 + Household_2_CA_2.l6 + Household_1_CA_3.l6 + Household_2_CA_3.l6 + Foods_1_CA_1.l6 + Foods_2_CA_1.l6 + Foods_3_CA_1.l6 + Foods_1_CA_2.l6 + Foods_2_CA_2.l6 + Foods_3_CA_2.l6 + Foods_1_CA_3.l6 + Foods_2_CA_3.l6 + Foods_3_CA_3.l6 + Hobbies_CA_1.l7 + Hobbies_CA_2.l7 + Hobbies_CA_3.l7 + Household_1_CA_1.l7 + Household_2_CA_1.l7 + Household_1_CA_2.l7 + Household_2_CA_2.l7 + Household_1_CA_3.l7 + Household_2_CA_3.l7 + Foods_1_CA_1.l7 + Foods_2_CA_1.l7 + Foods_3_CA_1.l7 + Foods_1_CA_2.l7 + Foods_2_CA_2.l7 + Foods_3_CA_2.l7 + Foods_1_CA_3.l7 + Foods_2_CA_3.l7 + Foods_3_CA_3.l7 + const 
## 
##                      Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_1.l1      0.051086   0.032785   1.558 0.119356    
## Hobbies_CA_2.l1     -0.001339   0.041903  -0.032 0.974521    
## Hobbies_CA_3.l1     -0.034206   0.031146  -1.098 0.272253    
## Household_1_CA_1.l1 -0.021091   0.077705  -0.271 0.786094    
## Household_2_CA_1.l1  0.277195   0.127880   2.168 0.030317 *  
## Household_1_CA_2.l1 -0.135963   0.077859  -1.746 0.080929 .  
## Household_2_CA_2.l1 -0.136118   0.097206  -1.400 0.161588    
## Household_1_CA_3.l1  0.024905   0.050086   0.497 0.619077    
## Household_2_CA_3.l1 -0.182708   0.087351  -2.092 0.036607 *  
## Foods_1_CA_1.l1      0.151271   0.088826   1.703 0.088738 .  
## Foods_2_CA_1.l1      0.099139   0.053026   1.870 0.061695 .  
## Foods_3_CA_1.l1     -0.008021   0.018293  -0.438 0.661086    
## Foods_1_CA_2.l1     -0.103993   0.111584  -0.932 0.351472    
## Foods_2_CA_2.l1      0.297768   0.083599   3.562 0.000378 ***
## Foods_3_CA_2.l1      0.015484   0.024340   0.636 0.524740    
## Foods_1_CA_3.l1      0.005861   0.071043   0.082 0.934261    
## Foods_2_CA_3.l1      0.407180   0.035039  11.621  < 2e-16 ***
## Foods_3_CA_3.l1     -0.014593   0.013775  -1.059 0.289572    
## Hobbies_CA_1.l2      0.017141   0.033037   0.519 0.603941    
## Hobbies_CA_2.l2     -0.081157   0.041652  -1.948 0.051514 .  
## Hobbies_CA_3.l2     -0.008837   0.031443  -0.281 0.778716    
## Household_1_CA_1.l2  0.087256   0.078778   1.108 0.268172    
## Household_2_CA_1.l2  0.100344   0.128695   0.780 0.435668    
## Household_1_CA_2.l2 -0.120697   0.079751  -1.513 0.130343    
## Household_2_CA_2.l2 -0.068683   0.097975  -0.701 0.483377    
## Household_1_CA_3.l2 -0.081222   0.051964  -1.563 0.118216    
## Household_2_CA_3.l2  0.009823   0.087690   0.112 0.910823    
## Foods_1_CA_1.l2      0.059727   0.092261   0.647 0.517474    
## Foods_2_CA_1.l2      0.029278   0.054928   0.533 0.594084    
## Foods_3_CA_1.l2     -0.034806   0.019059  -1.826 0.067981 .  
## Foods_1_CA_2.l2      0.052712   0.114760   0.459 0.646056    
## Foods_2_CA_2.l2      0.121142   0.085285   1.420 0.155652    
## Foods_3_CA_2.l2     -0.043545   0.025060  -1.738 0.082443 .  
## Foods_1_CA_3.l2      0.015767   0.074182   0.213 0.831704    
## Foods_2_CA_3.l2      0.044856   0.037497   1.196 0.231751    
## Foods_3_CA_3.l2      0.030461   0.014659   2.078 0.037849 *  
## Hobbies_CA_1.l3     -0.006546   0.033070  -0.198 0.843119    
## Hobbies_CA_2.l3     -0.041705   0.041711  -1.000 0.317514    
## Hobbies_CA_3.l3      0.027927   0.031542   0.885 0.376048    
## Household_1_CA_1.l3  0.046986   0.078547   0.598 0.549789    
## Household_2_CA_1.l3  0.236788   0.128516   1.842 0.065565 .  
## Household_1_CA_2.l3  0.123642   0.080440   1.537 0.124450    
## Household_2_CA_2.l3 -0.013243   0.098498  -0.134 0.893066    
## Household_1_CA_3.l3 -0.056017   0.052345  -1.070 0.284692    
## Household_2_CA_3.l3 -0.117182   0.088044  -1.331 0.183368    
## Foods_1_CA_1.l3      0.073835   0.092448   0.799 0.424589    
## Foods_2_CA_1.l3      0.003282   0.055305   0.059 0.952678    
## Foods_3_CA_1.l3     -0.029263   0.019170  -1.527 0.127054    
## Foods_1_CA_2.l3      0.005918   0.114527   0.052 0.958792    
## Foods_2_CA_2.l3      0.003678   0.085440   0.043 0.965667    
## Foods_3_CA_2.l3      0.014497   0.025289   0.573 0.566541    
## Foods_1_CA_3.l3     -0.037964   0.073997  -0.513 0.607975    
## Foods_2_CA_3.l3      0.072013   0.037526   1.919 0.055138 .  
## Foods_3_CA_3.l3     -0.002413   0.014710  -0.164 0.869723    
## Hobbies_CA_1.l4      0.014034   0.033082   0.424 0.671452    
## Hobbies_CA_2.l4     -0.082054   0.041853  -1.961 0.050085 .  
## Hobbies_CA_3.l4     -0.033167   0.031240  -1.062 0.288510    
## Household_1_CA_1.l4 -0.097558   0.078592  -1.241 0.214643    
## Household_2_CA_1.l4 -0.024325   0.128074  -0.190 0.849382    
## Household_1_CA_2.l4  0.054157   0.080909   0.669 0.503353    
## Household_2_CA_2.l4 -0.123363   0.098827  -1.248 0.212091    
## Household_1_CA_3.l4  0.048765   0.052091   0.936 0.349321    
## Household_2_CA_3.l4  0.030227   0.088195   0.343 0.731841    
## Foods_1_CA_1.l4     -0.146691   0.092347  -1.588 0.112351    
## Foods_2_CA_1.l4      0.081971   0.054972   1.491 0.136092    
## Foods_3_CA_1.l4     -0.033987   0.019178  -1.772 0.076521 .  
## Foods_1_CA_2.l4      0.151449   0.114884   1.318 0.187575    
## Foods_2_CA_2.l4     -0.144261   0.085426  -1.689 0.091442 .  
## Foods_3_CA_2.l4      0.019727   0.025191   0.783 0.433674    
## Foods_1_CA_3.l4      0.043435   0.073670   0.590 0.555542    
## Foods_2_CA_3.l4      0.044693   0.037523   1.191 0.233780    
## Foods_3_CA_3.l4      0.030123   0.014754   2.042 0.041324 *  
## Hobbies_CA_1.l5     -0.058426   0.033098  -1.765 0.077687 .  
## Hobbies_CA_2.l5     -0.036033   0.041707  -0.864 0.387718    
## Hobbies_CA_3.l5      0.030337   0.031533   0.962 0.336141    
## Household_1_CA_1.l5 -0.021419   0.078436  -0.273 0.784829    
## Household_2_CA_1.l5  0.174167   0.128374   1.357 0.175041    
## Household_1_CA_2.l5 -0.210322   0.080869  -2.601 0.009376 ** 
## Household_2_CA_2.l5  0.256537   0.098614   2.601 0.009358 ** 
## Household_1_CA_3.l5  0.058247   0.052353   1.113 0.266033    
## Household_2_CA_3.l5  0.032686   0.088335   0.370 0.711406    
## Foods_1_CA_1.l5      0.018572   0.092727   0.200 0.841277    
## Foods_2_CA_1.l5      0.040876   0.055150   0.741 0.458681    
## Foods_3_CA_1.l5     -0.000121   0.019208  -0.006 0.994975    
## Foods_1_CA_2.l5     -0.022722   0.115619  -0.197 0.844218    
## Foods_2_CA_2.l5     -0.090068   0.085479  -1.054 0.292166    
## Foods_3_CA_2.l5     -0.015508   0.025251  -0.614 0.539201    
## Foods_1_CA_3.l5     -0.001849   0.073946  -0.025 0.980052    
## Foods_2_CA_3.l5      0.037952   0.037562   1.010 0.312439    
## Foods_3_CA_3.l5     -0.003389   0.014755  -0.230 0.818347    
## Hobbies_CA_1.l6     -0.010883   0.033106  -0.329 0.742391    
## Hobbies_CA_2.l6      0.031439   0.041704   0.754 0.451036    
## Hobbies_CA_3.l6     -0.039654   0.031550  -1.257 0.208965    
## Household_1_CA_1.l6  0.064253   0.078371   0.820 0.412407    
## Household_2_CA_1.l6 -0.222664   0.128007  -1.739 0.082120 .  
## Household_1_CA_2.l6  0.034177   0.080670   0.424 0.671859    
## Household_2_CA_2.l6 -0.062346   0.098836  -0.631 0.528247    
## Household_1_CA_3.l6 -0.058700   0.052286  -1.123 0.261728    
## Household_2_CA_3.l6  0.092756   0.088165   1.052 0.292904    
## Foods_1_CA_1.l6     -0.100737   0.092319  -1.091 0.275336    
## Foods_2_CA_1.l6     -0.050082   0.054980  -0.911 0.362462    
## Foods_3_CA_1.l6      0.035230   0.019249   1.830 0.067381 .  
## Foods_1_CA_2.l6     -0.066374   0.114896  -0.578 0.563544    
## Foods_2_CA_2.l6     -0.041228   0.085220  -0.484 0.628594    
## Foods_3_CA_2.l6      0.038972   0.025239   1.544 0.122733    
## Foods_1_CA_3.l6      0.033079   0.073829   0.448 0.654168    
## Foods_2_CA_3.l6      0.015937   0.037348   0.427 0.669631    
## Foods_3_CA_3.l6     -0.009203   0.014606  -0.630 0.528710    
## Hobbies_CA_1.l7     -0.004488   0.032975  -0.136 0.891757    
## Hobbies_CA_2.l7      0.067306   0.041272   1.631 0.103106    
## Hobbies_CA_3.l7     -0.018286   0.031379  -0.583 0.560128    
## Household_1_CA_1.l7  0.020777   0.077103   0.269 0.787600    
## Household_2_CA_1.l7 -0.100951   0.127938  -0.789 0.430176    
## Household_1_CA_2.l7  0.298866   0.077791   3.842 0.000126 ***
## Household_2_CA_2.l7  0.013262   0.097104   0.137 0.891379    
## Household_1_CA_3.l7  0.020866   0.049871   0.418 0.675706    
## Household_2_CA_3.l7  0.061722   0.088147   0.700 0.483877    
## Foods_1_CA_1.l7     -0.188334   0.088537  -2.127 0.033539 *  
## Foods_2_CA_1.l7      0.049811   0.052396   0.951 0.341901    
## Foods_3_CA_1.l7      0.027171   0.018605   1.460 0.144362    
## Foods_1_CA_2.l7     -0.061871   0.112734  -0.549 0.583193    
## Foods_2_CA_2.l7     -0.122622   0.083598  -1.467 0.142602    
## Foods_3_CA_2.l7      0.015720   0.024466   0.643 0.520616    
## Foods_1_CA_3.l7     -0.080052   0.070365  -1.138 0.255406    
## Foods_2_CA_3.l7      0.176362   0.034881   5.056  4.7e-07 ***
## Foods_3_CA_3.l7     -0.023569   0.013697  -1.721 0.085459 .  
## const               80.373230  27.024335   2.974 0.002977 ** 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 78.28 on 1835 degrees of freedom
## Multiple R-Squared: 0.7314,  Adjusted R-squared: 0.7129 
## F-statistic: 39.65 on 126 and 1835 DF,  p-value: < 2.2e-16 
## 
## 
## Estimation results for equation Foods_3_CA_3: 
## ============================================= 
## Foods_3_CA_3 = Hobbies_CA_1.l1 + Hobbies_CA_2.l1 + Hobbies_CA_3.l1 + Household_1_CA_1.l1 + Household_2_CA_1.l1 + Household_1_CA_2.l1 + Household_2_CA_2.l1 + Household_1_CA_3.l1 + Household_2_CA_3.l1 + Foods_1_CA_1.l1 + Foods_2_CA_1.l1 + Foods_3_CA_1.l1 + Foods_1_CA_2.l1 + Foods_2_CA_2.l1 + Foods_3_CA_2.l1 + Foods_1_CA_3.l1 + Foods_2_CA_3.l1 + Foods_3_CA_3.l1 + Hobbies_CA_1.l2 + Hobbies_CA_2.l2 + Hobbies_CA_3.l2 + Household_1_CA_1.l2 + Household_2_CA_1.l2 + Household_1_CA_2.l2 + Household_2_CA_2.l2 + Household_1_CA_3.l2 + Household_2_CA_3.l2 + Foods_1_CA_1.l2 + Foods_2_CA_1.l2 + Foods_3_CA_1.l2 + Foods_1_CA_2.l2 + Foods_2_CA_2.l2 + Foods_3_CA_2.l2 + Foods_1_CA_3.l2 + Foods_2_CA_3.l2 + Foods_3_CA_3.l2 + Hobbies_CA_1.l3 + Hobbies_CA_2.l3 + Hobbies_CA_3.l3 + Household_1_CA_1.l3 + Household_2_CA_1.l3 + Household_1_CA_2.l3 + Household_2_CA_2.l3 + Household_1_CA_3.l3 + Household_2_CA_3.l3 + Foods_1_CA_1.l3 + Foods_2_CA_1.l3 + Foods_3_CA_1.l3 + Foods_1_CA_2.l3 + Foods_2_CA_2.l3 + Foods_3_CA_2.l3 + Foods_1_CA_3.l3 + Foods_2_CA_3.l3 + Foods_3_CA_3.l3 + Hobbies_CA_1.l4 + Hobbies_CA_2.l4 + Hobbies_CA_3.l4 + Household_1_CA_1.l4 + Household_2_CA_1.l4 + Household_1_CA_2.l4 + Household_2_CA_2.l4 + Household_1_CA_3.l4 + Household_2_CA_3.l4 + Foods_1_CA_1.l4 + Foods_2_CA_1.l4 + Foods_3_CA_1.l4 + Foods_1_CA_2.l4 + Foods_2_CA_2.l4 + Foods_3_CA_2.l4 + Foods_1_CA_3.l4 + Foods_2_CA_3.l4 + Foods_3_CA_3.l4 + Hobbies_CA_1.l5 + Hobbies_CA_2.l5 + Hobbies_CA_3.l5 + Household_1_CA_1.l5 + Household_2_CA_1.l5 + Household_1_CA_2.l5 + Household_2_CA_2.l5 + Household_1_CA_3.l5 + Household_2_CA_3.l5 + Foods_1_CA_1.l5 + Foods_2_CA_1.l5 + Foods_3_CA_1.l5 + Foods_1_CA_2.l5 + Foods_2_CA_2.l5 + Foods_3_CA_2.l5 + Foods_1_CA_3.l5 + Foods_2_CA_3.l5 + Foods_3_CA_3.l5 + Hobbies_CA_1.l6 + Hobbies_CA_2.l6 + Hobbies_CA_3.l6 + Household_1_CA_1.l6 + Household_2_CA_1.l6 + Household_1_CA_2.l6 + Household_2_CA_2.l6 + Household_1_CA_3.l6 + Household_2_CA_3.l6 + Foods_1_CA_1.l6 + Foods_2_CA_1.l6 + Foods_3_CA_1.l6 + Foods_1_CA_2.l6 + Foods_2_CA_2.l6 + Foods_3_CA_2.l6 + Foods_1_CA_3.l6 + Foods_2_CA_3.l6 + Foods_3_CA_3.l6 + Hobbies_CA_1.l7 + Hobbies_CA_2.l7 + Hobbies_CA_3.l7 + Household_1_CA_1.l7 + Household_2_CA_1.l7 + Household_1_CA_2.l7 + Household_2_CA_2.l7 + Household_1_CA_3.l7 + Household_2_CA_3.l7 + Foods_1_CA_1.l7 + Foods_2_CA_1.l7 + Foods_3_CA_1.l7 + Foods_1_CA_2.l7 + Foods_2_CA_2.l7 + Foods_3_CA_2.l7 + Foods_1_CA_3.l7 + Foods_2_CA_3.l7 + Foods_3_CA_3.l7 + const 
## 
##                       Estimate Std. Error t value Pr(>|t|)    
## Hobbies_CA_1.l1      1.405e-01  1.079e-01   1.303 0.192901    
## Hobbies_CA_2.l1      4.175e-02  1.379e-01   0.303 0.762061    
## Hobbies_CA_3.l1     -1.215e-01  1.025e-01  -1.185 0.236038    
## Household_1_CA_1.l1 -7.320e-02  2.557e-01  -0.286 0.774674    
## Household_2_CA_1.l1  7.881e-01  4.208e-01   1.873 0.061223 .  
## Household_1_CA_2.l1 -3.102e-01  2.562e-01  -1.211 0.226082    
## Household_2_CA_2.l1 -3.153e-01  3.198e-01  -0.986 0.324349    
## Household_1_CA_3.l1 -1.472e-02  1.648e-01  -0.089 0.928852    
## Household_2_CA_3.l1 -3.663e-01  2.874e-01  -1.275 0.202611    
## Foods_1_CA_1.l1      8.371e-01  2.923e-01   2.864 0.004229 ** 
## Foods_2_CA_1.l1     -8.641e-03  1.745e-01  -0.050 0.960505    
## Foods_3_CA_1.l1      8.596e-02  6.019e-02   1.428 0.153422    
## Foods_1_CA_2.l1     -1.965e-01  3.671e-01  -0.535 0.592490    
## Foods_2_CA_2.l1      3.046e-01  2.751e-01   1.107 0.268246    
## Foods_3_CA_2.l1      8.158e-02  8.009e-02   1.019 0.308510    
## Foods_1_CA_3.l1      3.295e-02  2.338e-01   0.141 0.887930    
## Foods_2_CA_3.l1     -4.362e-02  1.153e-01  -0.378 0.705185    
## Foods_3_CA_3.l1      3.398e-01  4.532e-02   7.497 1.01e-13 ***
## Hobbies_CA_1.l2      7.533e-02  1.087e-01   0.693 0.488408    
## Hobbies_CA_2.l2     -4.146e-01  1.370e-01  -3.025 0.002519 ** 
## Hobbies_CA_3.l2      9.909e-02  1.035e-01   0.958 0.338292    
## Household_1_CA_1.l2  2.697e-01  2.592e-01   1.040 0.298257    
## Household_2_CA_1.l2  2.313e-01  4.234e-01   0.546 0.585004    
## Household_1_CA_2.l2 -6.645e-01  2.624e-01  -2.532 0.011411 *  
## Household_2_CA_2.l2 -2.569e-01  3.224e-01  -0.797 0.425625    
## Household_1_CA_3.l2 -4.834e-01  1.710e-01  -2.827 0.004748 ** 
## Household_2_CA_3.l2  4.238e-02  2.885e-01   0.147 0.883235    
## Foods_1_CA_1.l2     -1.865e-01  3.036e-01  -0.614 0.538971    
## Foods_2_CA_1.l2      1.622e-01  1.807e-01   0.897 0.369675    
## Foods_3_CA_1.l2     -7.065e-02  6.271e-02  -1.127 0.260035    
## Foods_1_CA_2.l2      3.121e-01  3.776e-01   0.827 0.408571    
## Foods_2_CA_2.l2     -1.277e-01  2.806e-01  -0.455 0.649090    
## Foods_3_CA_2.l2     -7.446e-02  8.246e-02  -0.903 0.366625    
## Foods_1_CA_3.l2      5.593e-02  2.441e-01   0.229 0.818785    
## Foods_2_CA_3.l2     -1.079e-01  1.234e-01  -0.874 0.382110    
## Foods_3_CA_3.l2      2.009e-01  4.823e-02   4.166 3.25e-05 ***
## Hobbies_CA_1.l3     -9.263e-02  1.088e-01  -0.851 0.394699    
## Hobbies_CA_2.l3     -1.162e-01  1.372e-01  -0.846 0.397407    
## Hobbies_CA_3.l3      1.519e-02  1.038e-01   0.146 0.883670    
## Household_1_CA_1.l3  3.370e-02  2.584e-01   0.130 0.896266    
## Household_2_CA_1.l3  1.099e+00  4.229e-01   2.600 0.009394 ** 
## Household_1_CA_2.l3  2.395e-01  2.647e-01   0.905 0.365657    
## Household_2_CA_2.l3 -3.015e-01  3.241e-01  -0.930 0.352398    
## Household_1_CA_3.l3 -2.802e-01  1.722e-01  -1.627 0.103997    
## Household_2_CA_3.l3 -5.197e-01  2.897e-01  -1.794 0.072979 .  
## Foods_1_CA_1.l3     -8.333e-02  3.042e-01  -0.274 0.784147    
## Foods_2_CA_1.l3      1.004e-01  1.820e-01   0.552 0.581070    
## Foods_3_CA_1.l3     -1.227e-01  6.308e-02  -1.946 0.051847 .  
## Foods_1_CA_2.l3      4.922e-01  3.768e-01   1.306 0.191649    
## Foods_2_CA_2.l3     -1.561e-02  2.811e-01  -0.056 0.955717    
## Foods_3_CA_2.l3      3.029e-02  8.321e-02   0.364 0.715923    
## Foods_1_CA_3.l3      6.297e-02  2.435e-01   0.259 0.795945    
## Foods_2_CA_3.l3      2.161e-02  1.235e-01   0.175 0.861068    
## Foods_3_CA_3.l3      8.743e-02  4.840e-02   1.806 0.071024 .  
## Hobbies_CA_1.l4      1.870e-01  1.088e-01   1.718 0.086041 .  
## Hobbies_CA_2.l4     -2.696e-01  1.377e-01  -1.957 0.050447 .  
## Hobbies_CA_3.l4      3.516e-02  1.028e-01   0.342 0.732333    
## Household_1_CA_1.l4 -2.627e-01  2.586e-01  -1.016 0.309827    
## Household_2_CA_1.l4 -4.758e-01  4.214e-01  -1.129 0.259012    
## Household_1_CA_2.l4  4.023e-01  2.662e-01   1.511 0.130879    
## Household_2_CA_2.l4 -5.118e-01  3.252e-01  -1.574 0.115665    
## Household_1_CA_3.l4  1.850e-02  1.714e-01   0.108 0.914046    
## Household_2_CA_3.l4 -1.486e-01  2.902e-01  -0.512 0.608723    
## Foods_1_CA_1.l4     -3.405e-01  3.038e-01  -1.121 0.262578    
## Foods_2_CA_1.l4      3.271e-02  1.809e-01   0.181 0.856489    
## Foods_3_CA_1.l4     -4.373e-02  6.310e-02  -0.693 0.488335    
## Foods_1_CA_2.l4      4.035e-01  3.780e-01   1.067 0.285921    
## Foods_2_CA_2.l4     -6.488e-02  2.811e-01  -0.231 0.817470    
## Foods_3_CA_2.l4     -4.330e-02  8.289e-02  -0.522 0.601478    
## Foods_1_CA_3.l4      1.205e-01  2.424e-01   0.497 0.619145    
## Foods_2_CA_3.l4      8.681e-05  1.235e-01   0.001 0.999439    
## Foods_3_CA_3.l4      1.253e-01  4.855e-02   2.582 0.009908 ** 
## Hobbies_CA_1.l5      3.236e-02  1.089e-01   0.297 0.766371    
## Hobbies_CA_2.l5      4.212e-02  1.372e-01   0.307 0.758937    
## Hobbies_CA_3.l5      8.262e-02  1.038e-01   0.796 0.425925    
## Household_1_CA_1.l5  1.365e-01  2.581e-01   0.529 0.596941    
## Household_2_CA_1.l5  2.287e-02  4.224e-01   0.054 0.956827    
## Household_1_CA_2.l5 -7.571e-01  2.661e-01  -2.845 0.004484 ** 
## Household_2_CA_2.l5 -2.734e-02  3.245e-01  -0.084 0.932850    
## Household_1_CA_3.l5  3.037e-01  1.723e-01   1.763 0.078091 .  
## Household_2_CA_3.l5  4.165e-01  2.907e-01   1.433 0.152028    
## Foods_1_CA_1.l5     -3.126e-02  3.051e-01  -0.102 0.918406    
## Foods_2_CA_1.l5      3.325e-01  1.815e-01   1.833 0.067039 .  
## Foods_3_CA_1.l5     -1.480e-01  6.320e-02  -2.342 0.019300 *  
## Foods_1_CA_2.l5     -7.830e-02  3.804e-01  -0.206 0.836953    
## Foods_2_CA_2.l5     -1.829e-01  2.813e-01  -0.650 0.515505    
## Foods_3_CA_2.l5      2.989e-02  8.308e-02   0.360 0.719063    
## Foods_1_CA_3.l5     -3.239e-01  2.433e-01  -1.331 0.183220    
## Foods_2_CA_3.l5      5.334e-02  1.236e-01   0.432 0.666109    
## Foods_3_CA_3.l5      5.252e-02  4.855e-02   1.082 0.279451    
## Hobbies_CA_1.l6     -1.024e-01  1.089e-01  -0.940 0.347118    
## Hobbies_CA_2.l6      1.329e-01  1.372e-01   0.968 0.332984    
## Hobbies_CA_3.l6     -8.141e-02  1.038e-01  -0.784 0.432990    
## Household_1_CA_1.l6 -1.849e-02  2.579e-01  -0.072 0.942836    
## Household_2_CA_1.l6 -6.139e-01  4.212e-01  -1.457 0.145165    
## Household_1_CA_2.l6 -2.672e-01  2.654e-01  -1.007 0.314273    
## Household_2_CA_2.l6 -1.948e-01  3.252e-01  -0.599 0.549232    
## Household_1_CA_3.l6  1.390e-01  1.720e-01   0.808 0.419114    
## Household_2_CA_3.l6  4.173e-01  2.901e-01   1.438 0.150491    
## Foods_1_CA_1.l6      7.504e-02  3.038e-01   0.247 0.804910    
## Foods_2_CA_1.l6     -1.760e-01  1.809e-01  -0.973 0.330846    
## Foods_3_CA_1.l6      8.367e-02  6.334e-02   1.321 0.186633    
## Foods_1_CA_2.l6     -2.612e-01  3.780e-01  -0.691 0.489637    
## Foods_2_CA_2.l6     -9.144e-02  2.804e-01  -0.326 0.744371    
## Foods_3_CA_2.l6      3.530e-02  8.304e-02   0.425 0.670815    
## Foods_1_CA_3.l6      1.231e-01  2.429e-01   0.507 0.612450    
## Foods_2_CA_3.l6     -1.399e-01  1.229e-01  -1.138 0.255073    
## Foods_3_CA_3.l6      3.928e-02  4.806e-02   0.817 0.413836    
## Hobbies_CA_1.l7     -2.742e-02  1.085e-01  -0.253 0.800499    
## Hobbies_CA_2.l7      1.238e-01  1.358e-01   0.912 0.361920    
## Hobbies_CA_3.l7      9.731e-02  1.032e-01   0.942 0.346066    
## Household_1_CA_1.l7  6.591e-01  2.537e-01   2.598 0.009452 ** 
## Household_2_CA_1.l7 -3.540e-02  4.210e-01  -0.084 0.932995    
## Household_1_CA_2.l7  1.347e+00  2.560e-01   5.264 1.58e-07 ***
## Household_2_CA_2.l7  1.483e-01  3.195e-01   0.464 0.642601    
## Household_1_CA_3.l7 -6.523e-02  1.641e-01  -0.397 0.691045    
## Household_2_CA_3.l7  2.545e-01  2.900e-01   0.878 0.380313    
## Foods_1_CA_1.l7     -9.610e-01  2.913e-01  -3.299 0.000989 ***
## Foods_2_CA_1.l7      1.479e-01  1.724e-01   0.858 0.390955    
## Foods_3_CA_1.l7      1.513e-01  6.122e-02   2.472 0.013527 *  
## Foods_1_CA_2.l7     -6.314e-01  3.709e-01  -1.702 0.088873 .  
## Foods_2_CA_2.l7     -5.677e-01  2.751e-01  -2.064 0.039156 *  
## Foods_3_CA_2.l7      1.827e-01  8.050e-02   2.269 0.023380 *  
## Foods_1_CA_3.l7     -6.613e-01  2.315e-01  -2.856 0.004337 ** 
## Foods_2_CA_3.l7      2.260e-01  1.148e-01   1.969 0.049048 *  
## Foods_3_CA_3.l7     -2.989e-02  4.507e-02  -0.663 0.507297    
## const                5.008e+02  8.892e+01   5.632 2.06e-08 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## 
## Residual standard error: 257.6 on 1835 degrees of freedom
## Multiple R-Squared: 0.7696,  Adjusted R-squared: 0.7538 
## F-statistic: 48.65 on 126 and 1835 DF,  p-value: < 2.2e-16 
## 
## 
## 
## Covariance matrix of residuals:
##                  Hobbies_CA_1 Hobbies_CA_2 Hobbies_CA_3 Household_1_CA_1
## Hobbies_CA_1           3811.7        776.8       1052.4            654.5
## Hobbies_CA_2            776.8       2363.7        793.5            361.7
## Hobbies_CA_3           1052.4        793.5       4277.8            642.7
## Household_1_CA_1        654.5        361.7        642.7            980.3
## Household_2_CA_1        312.9        185.5        288.2            242.2
## Household_1_CA_2        475.6        500.2        557.6            457.6
## Household_2_CA_2        377.1        368.6        409.9            287.6
## Household_1_CA_3        773.1        561.3       1047.5            714.9
## Household_2_CA_3        369.5        224.8        435.5            284.7
## Foods_1_CA_1            413.4        275.4        436.0            330.8
## Foods_2_CA_1            705.2        488.8        679.6            599.8
## Foods_3_CA_1           4251.5       2861.7       4029.5           3524.1
## Foods_1_CA_2            159.8        196.6        245.1            134.3
## Foods_2_CA_2            381.8        432.1        436.8            290.4
## Foods_3_CA_2           2258.3       2548.5       2543.5           1784.9
## Foods_1_CA_3            416.3        290.6        492.5            339.4
## Foods_2_CA_3            795.6        503.6        966.3            586.4
## Foods_3_CA_3           4637.0       2695.7       5415.1           3593.9
##                  Household_2_CA_1 Household_1_CA_2 Household_2_CA_2
## Hobbies_CA_1               312.93            475.6            377.1
## Hobbies_CA_2               185.54            500.2            368.6
## Hobbies_CA_3               288.17            557.6            409.9
## Household_1_CA_1           242.21            457.6            287.6
## Household_2_CA_1           296.47            208.0            150.7
## Household_1_CA_2           207.95           1010.0            402.8
## Household_2_CA_2           150.75            402.8            571.8
## Household_1_CA_3           307.88            642.7            427.7
## Household_2_CA_3           158.64            276.3            210.8
## Foods_1_CA_1               149.34            253.0            191.5
## Foods_2_CA_1               281.33            520.9            374.2
## Foods_3_CA_1              1670.05           3047.3           2223.6
## Foods_1_CA_2                59.29            204.9            130.2
## Foods_2_CA_2               143.10            422.0            296.0
## Foods_3_CA_2               967.81           2695.5           1880.8
## Foods_1_CA_3               163.09            289.4            219.2
## Foods_2_CA_3               277.87            574.6            416.3
## Foods_3_CA_3              1607.65           3236.9           2384.4
##                  Household_1_CA_3 Household_2_CA_3 Foods_1_CA_1 Foods_2_CA_1
## Hobbies_CA_1                773.1           369.47        413.4       705.25
## Hobbies_CA_2                561.3           224.84        275.4       488.82
## Hobbies_CA_3               1047.5           435.51        436.0       679.63
## Household_1_CA_1            714.9           284.68        330.8       599.79
## Household_2_CA_1            307.9           158.64        149.3       281.33
## Household_1_CA_2            642.7           276.30        253.0       520.94
## Household_2_CA_2            427.7           210.78        191.5       374.23
## Household_1_CA_3           2206.6           483.51        420.7       690.35
## Household_2_CA_3            483.5           616.79        187.5       375.92
## Foods_1_CA_1                420.7           187.47        639.9       391.44
## Foods_2_CA_1                690.4           375.92        391.4      3023.90
## Foods_3_CA_1               4229.6          2166.13       2468.2      8485.49
## Foods_1_CA_2                220.2            87.27        101.4        99.58
## Foods_2_CA_2                409.1           204.41        185.6       643.97
## Foods_3_CA_2               2650.5          1273.85       1217.0      3326.55
## Foods_1_CA_3                552.2           237.97        360.3       387.35
## Foods_2_CA_3               1052.1           479.88        430.5      2155.89
## Foods_3_CA_3               6134.3          2733.58       2716.2      7276.63
##                  Foods_3_CA_1 Foods_1_CA_2 Foods_2_CA_2 Foods_3_CA_2
## Hobbies_CA_1           4251.5       159.83        381.8       2258.3
## Hobbies_CA_2           2861.7       196.59        432.1       2548.5
## Hobbies_CA_3           4029.5       245.13        436.8       2543.5
## Household_1_CA_1       3524.1       134.29        290.4       1784.9
## Household_2_CA_1       1670.1        59.29        143.1        967.8
## Household_1_CA_2       3047.3       204.88        422.0       2695.5
## Household_2_CA_2       2223.6       130.20        296.0       1880.8
## Household_1_CA_3       4229.6       220.20        409.1       2650.5
## Household_2_CA_3       2166.1        87.27        204.4       1273.9
## Foods_1_CA_1           2468.2       101.36        185.6       1217.0
## Foods_2_CA_1           8485.5        99.58        644.0       3326.6
## Foods_3_CA_1          43001.1       747.76       2941.5      17792.9
## Foods_1_CA_2            747.8       318.79        175.7       1047.7
## Foods_2_CA_2           2941.5       175.71        997.0       3171.5
## Foods_3_CA_2          17792.9      1047.67       3171.5      19691.8
## Foods_1_CA_3           2607.4       124.18        235.7       1374.0
## Foods_2_CA_3           7471.2       173.95        946.0       4302.5
## Foods_3_CA_3          36979.4       874.07       3310.5      20293.6
##                  Foods_1_CA_3 Foods_2_CA_3 Foods_3_CA_3
## Hobbies_CA_1            416.3        795.6       4637.0
## Hobbies_CA_2            290.6        503.6       2695.7
## Hobbies_CA_3            492.5        966.3       5415.1
## Household_1_CA_1        339.4        586.4       3593.9
## Household_2_CA_1        163.1        277.9       1607.7
## Household_1_CA_2        289.4        574.6       3236.9
## Household_2_CA_2        219.2        416.3       2384.4
## Household_1_CA_3        552.2       1052.1       6134.3
## Household_2_CA_3        238.0        479.9       2733.6
## Foods_1_CA_1            360.3        430.5       2716.2
## Foods_2_CA_1            387.3       2155.9       7276.6
## Foods_3_CA_1           2607.4       7471.2      36979.4
## Foods_1_CA_2            124.2        173.9        874.1
## Foods_2_CA_2            235.7        946.0       3310.5
## Foods_3_CA_2           1374.0       4302.5      20293.6
## Foods_1_CA_3            991.8        649.6       3904.5
## Foods_2_CA_3            649.6       6128.2      14091.7
## Foods_3_CA_3           3904.5      14091.7      66345.0
## 
## Correlation matrix of residuals:
##                  Hobbies_CA_1 Hobbies_CA_2 Hobbies_CA_3 Household_1_CA_1
## Hobbies_CA_1           1.0000       0.2588       0.2606           0.3386
## Hobbies_CA_2           0.2588       1.0000       0.2495           0.2376
## Hobbies_CA_3           0.2606       0.2495       1.0000           0.3138
## Household_1_CA_1       0.3386       0.2376       0.3138           1.0000
## Household_2_CA_1       0.2944       0.2216       0.2559           0.4493
## Household_1_CA_2       0.2424       0.3237       0.2682           0.4599
## Household_2_CA_2       0.2555       0.3171       0.2621           0.3842
## Household_1_CA_3       0.2666       0.2458       0.3409           0.4861
## Household_2_CA_3       0.2410       0.1862       0.2681           0.3661
## Foods_1_CA_1           0.2647       0.2240       0.2636           0.4176
## Foods_2_CA_1           0.2077       0.1828       0.1890           0.3484
## Foods_3_CA_1           0.3321       0.2838       0.2971           0.5428
## Foods_1_CA_2           0.1450       0.2265       0.2099           0.2402
## Foods_2_CA_2           0.1959       0.2814       0.2115           0.2938
## Foods_3_CA_2           0.2607       0.3735       0.2771           0.4063
## Foods_1_CA_3           0.2141       0.1898       0.2391           0.3442
## Foods_2_CA_3           0.1646       0.1323       0.1887           0.2392
## Foods_3_CA_3           0.2916       0.2153       0.3214           0.4456
##                  Household_2_CA_1 Household_1_CA_2 Household_2_CA_2
## Hobbies_CA_1               0.2944           0.2424           0.2555
## Hobbies_CA_2               0.2216           0.3237           0.3171
## Hobbies_CA_3               0.2559           0.2682           0.2621
## Household_1_CA_1           0.4493           0.4599           0.3842
## Household_2_CA_1           1.0000           0.3800           0.3661
## Household_1_CA_2           0.3800           1.0000           0.5301
## Household_2_CA_2           0.3661           0.5301           1.0000
## Household_1_CA_3           0.3806           0.4305           0.3808
## Household_2_CA_3           0.3710           0.3501           0.3549
## Foods_1_CA_1               0.3429           0.3147           0.3165
## Foods_2_CA_1               0.2971           0.2981           0.2846
## Foods_3_CA_1               0.4677           0.4624           0.4484
## Foods_1_CA_2               0.1928           0.3611           0.3050
## Foods_2_CA_2               0.2632           0.4206           0.3921
## Foods_3_CA_2               0.4005           0.6044           0.5605
## Foods_1_CA_3               0.3008           0.2891           0.2911
## Foods_2_CA_3               0.2062           0.2310           0.2224
## Foods_3_CA_3               0.3625           0.3954           0.3871
##                  Household_1_CA_3 Household_2_CA_3 Foods_1_CA_1 Foods_2_CA_1
## Hobbies_CA_1               0.2666           0.2410       0.2647       0.2077
## Hobbies_CA_2               0.2458           0.1862       0.2240       0.1828
## Hobbies_CA_3               0.3409           0.2681       0.2636       0.1890
## Household_1_CA_1           0.4861           0.3661       0.4176       0.3484
## Household_2_CA_1           0.3806           0.3710       0.3429       0.2971
## Household_1_CA_2           0.4305           0.3501       0.3147       0.2981
## Household_2_CA_2           0.3808           0.3549       0.3165       0.2846
## Household_1_CA_3           1.0000           0.4145       0.3540       0.2673
## Household_2_CA_3           0.4145           1.0000       0.2984       0.2753
## Foods_1_CA_1               0.3540           0.2984       1.0000       0.2814
## Foods_2_CA_1               0.2673           0.2753       0.2814       1.0000
## Foods_3_CA_1               0.4342           0.4206       0.4705       0.7441
## Foods_1_CA_2               0.2625           0.1968       0.2244       0.1014
## Foods_2_CA_2               0.2758           0.2607       0.2323       0.3709
## Foods_3_CA_2               0.4021           0.3655       0.3428       0.4311
## Foods_1_CA_3               0.3732           0.3043       0.4523       0.2237
## Foods_2_CA_3               0.2861           0.2468       0.2174       0.5008
## Foods_3_CA_3               0.5070           0.4273       0.4169       0.5137
##                  Foods_3_CA_1 Foods_1_CA_2 Foods_2_CA_2 Foods_3_CA_2
## Hobbies_CA_1           0.3321       0.1450       0.1959       0.2607
## Hobbies_CA_2           0.2838       0.2265       0.2814       0.3735
## Hobbies_CA_3           0.2971       0.2099       0.2115       0.2771
## Household_1_CA_1       0.5428       0.2402       0.2938       0.4063
## Household_2_CA_1       0.4677       0.1928       0.2632       0.4005
## Household_1_CA_2       0.4624       0.3611       0.4206       0.6044
## Household_2_CA_2       0.4484       0.3050       0.3921       0.5605
## Household_1_CA_3       0.4342       0.2625       0.2758       0.4021
## Household_2_CA_3       0.4206       0.1968       0.2607       0.3655
## Foods_1_CA_1           0.4705       0.2244       0.2323       0.3428
## Foods_2_CA_1           0.7441       0.1014       0.3709       0.4311
## Foods_3_CA_1           1.0000       0.2020       0.4492       0.6115
## Foods_1_CA_2           0.2020       1.0000       0.3117       0.4181
## Foods_2_CA_2           0.4492       0.3117       1.0000       0.7158
## Foods_3_CA_2           0.6115       0.4181       0.7158       1.0000
## Foods_1_CA_3           0.3993       0.2208       0.2370       0.3109
## Foods_2_CA_3           0.4602       0.1245       0.3827       0.3917
## Foods_3_CA_3           0.6923       0.1901       0.4070       0.5615
##                  Foods_1_CA_3 Foods_2_CA_3 Foods_3_CA_3
## Hobbies_CA_1           0.2141       0.1646       0.2916
## Hobbies_CA_2           0.1898       0.1323       0.2153
## Hobbies_CA_3           0.2391       0.1887       0.3214
## Household_1_CA_1       0.3442       0.2392       0.4456
## Household_2_CA_1       0.3008       0.2062       0.3625
## Household_1_CA_2       0.2891       0.2310       0.3954
## Household_2_CA_2       0.2911       0.2224       0.3871
## Household_1_CA_3       0.3732       0.2861       0.5070
## Household_2_CA_3       0.3043       0.2468       0.4273
## Foods_1_CA_1           0.4523       0.2174       0.4169
## Foods_2_CA_1           0.2237       0.5008       0.5137
## Foods_3_CA_1           0.3993       0.4602       0.6923
## Foods_1_CA_2           0.2208       0.1245       0.1901
## Foods_2_CA_2           0.2370       0.3827       0.4070
## Foods_3_CA_2           0.3109       0.3917       0.5615
## Foods_1_CA_3           1.0000       0.2635       0.4813
## Foods_2_CA_3           0.2635       1.0000       0.6989
## Foods_3_CA_3           0.4813       0.6989       1.0000
forecast <- predict(Model_large, n.ahead = 28, ci = 0.95)
print(forecast)
## $Hobbies_CA_1
##           fcst    lower    upper       CI
##  [1,] 358.9287 237.9233 479.9341 121.0054
##  [2,] 402.8682 278.7809 526.9555 124.0873
##  [3,] 377.0117 250.5889 503.4346 126.4228
##  [4,] 357.4677 229.7380 485.1974 127.7297
##  [5,] 405.6928 276.1628 535.2228 129.5300
##  [6,] 472.3613 340.8881 603.8345 131.4732
##  [7,] 452.2460 319.5676 584.9245 132.6784
##  [8,] 394.9501 258.2915 531.6086 136.6586
##  [9,] 379.8163 242.1633 517.4692 137.6529
## [10,] 360.9540 222.5996 499.3084 138.3544
## [11,] 364.0735 225.1818 502.9652 138.8917
## [12,] 413.5256 273.9934 553.0578 139.5322
## [13,] 466.5464 326.0660 607.0268 140.4804
## [14,] 450.9831 309.5967 592.3696 141.3864
## [15,] 401.2206 257.7484 544.6929 143.4722
## [16,] 373.2512 229.2248 517.2776 144.0264
## [17,] 355.8781 211.4799 500.2764 144.3982
## [18,] 362.0668 217.2835 506.8502 144.7833
## [19,] 410.9191 265.6500 556.1882 145.2691
## [20,] 458.2245 312.3271 604.1219 145.8974
## [21,] 446.1196 299.4670 592.7722 146.6526
## [22,] 401.0796 252.9289 549.2304 148.1507
## [23,] 368.7035 220.1223 517.2846 148.5811
## [24,] 351.8017 202.9704 500.6330 148.8313
## [25,] 360.8646 211.7183 510.0108 149.1463
## [26,] 407.9519 258.3705 557.5334 149.5815
## [27,] 450.5369 300.4755 600.5983 150.0614
## [28,] 441.1315 290.4348 591.8282 150.6967
## 
## $Hobbies_CA_2
##           fcst    lower    upper        CI
##  [1,] 278.8735 183.5839 374.1632  95.28963
##  [2,] 298.5986 202.0406 395.1566  96.55802
##  [3,] 287.7534 189.9407 385.5662  97.81275
##  [4,] 284.5131 185.6547 383.3714  98.85833
##  [5,] 348.6180 248.8281 448.4079  99.78986
##  [6,] 422.1095 320.4783 523.7407 101.63123
##  [7,] 388.3928 285.1473 491.6383 103.24550
##  [8,] 313.7582 204.8390 422.6774 108.91921
##  [9,] 291.8080 182.0567 401.5592 109.75123
## [10,] 281.5261 171.3512 391.7009 110.17484
## [11,] 287.2554 176.6478 397.8630 110.60760
## [12,] 349.2816 238.2779 460.2853 111.00373
## [13,] 407.7449 296.1011 519.3887 111.64378
## [14,] 381.2055 268.4777 493.9333 112.72779
## [15,] 318.1413 202.2274 434.0552 115.91387
## [16,] 288.4567 171.9624 404.9509 116.49424
## [17,] 277.9893 161.2288 394.7498 116.76050
## [18,] 288.5465 171.5500 405.5430 116.99651
## [19,] 344.0987 226.8490 461.3483 117.24964
## [20,] 392.6954 275.1011 510.2897 117.59432
## [21,] 371.4092 252.9594 489.8590 118.44979
## [22,] 317.3130 196.7129 437.9131 120.60011
## [23,] 285.9505 164.9016 406.9995 121.04894
## [24,] 274.9539 153.7279 396.1799 121.22600
## [25,] 287.6241 166.2159 409.0323 121.40822
## [26,] 338.1360 216.5096 459.7624 121.62639
## [27,] 380.3400 258.4747 502.2053 121.86533
## [28,] 363.4109 240.8618 485.9601 122.54918
## 
## $Hobbies_CA_3
##           fcst    lower    upper       CI
##  [1,] 429.8989 301.7074 558.0903 128.1915
##  [2,] 406.6429 275.4032 537.8826 131.2397
##  [3,] 440.5208 307.3081 573.7335 133.2127
##  [4,] 432.2387 297.7500 566.7274 134.4887
##  [5,] 478.4770 341.5481 615.4059 136.9289
##  [6,] 510.0343 371.4713 648.5974 138.5631
##  [7,] 511.6487 371.1895 652.1080 140.4592
##  [8,] 459.9200 315.3634 604.4766 144.5566
##  [9,] 434.1646 287.9661 580.3632 146.1986
## [10,] 419.9056 272.8264 566.9848 147.0792
## [11,] 418.0697 270.3261 565.8134 147.7437
## [12,] 450.0902 301.7170 598.4634 148.3732
## [13,] 510.1837 360.9700 659.3973 149.2136
## [14,] 512.1498 361.9376 662.3621 150.2122
## [15,] 465.4441 312.9497 617.9385 152.4944
## [16,] 429.8958 276.3271 583.4646 153.5687
## [17,] 414.2112 260.1139 568.3085 154.0973
## [18,] 414.3180 259.7370 568.8989 154.5809
## [19,] 449.6389 294.5926 604.6851 155.0463
## [20,] 501.6381 345.9374 657.3389 155.7008
## [21,] 504.4024 347.9183 660.8864 156.4841
## [22,] 463.4831 305.3805 621.5857 158.1026
## [23,] 428.0100 269.0499 586.9701 158.9601
## [24,] 411.6954 252.3388 571.0521 159.3566
## [25,] 413.6077 253.8600 573.3555 159.7478
## [26,] 448.3542 288.2013 608.5071 160.1529
## [27,] 493.8313 333.1393 654.5233 160.6920
## [28,] 497.3532 336.0013 658.7052 161.3519
## 
## $Household_1_CA_1
##           fcst     lower    upper       CI
##  [1,] 243.0094 181.64409 304.3747 61.36530
##  [2,] 213.5271 148.82811 278.2260 64.69895
##  [3,] 192.2981 126.53560 258.0606 65.76250
##  [4,] 187.0646 120.67122 253.4579 66.39333
##  [5,] 222.9003 155.91816 289.8825 66.98218
##  [6,] 304.9133 236.57553 373.2511 68.33778
##  [7,] 312.3441 242.50572 382.1824 69.83837
##  [8,] 260.1186 183.77424 336.4630 76.34439
##  [9,] 216.4938 137.75133 295.2362 78.74244
## [10,] 194.3939 114.95511 273.8326 79.43875
## [11,] 188.4808 108.40322 268.5584 80.07757
## [12,] 227.1994 146.43458 307.9643 80.76486
## [13,] 298.3665 216.45087 380.2821 81.91561
## [14,] 311.6626 228.66352 394.6617 82.99909
## [15,] 264.9350 178.13966 351.7302 86.79529
## [16,] 219.4095 130.68494 308.1341 88.72457
## [17,] 194.7202 105.47415 283.9662 89.24601
## [18,] 191.6865 101.92736 281.4456 89.75911
## [19,] 232.1404 141.81202 322.4687 90.32834
## [20,] 294.6209 203.42399 385.8179 91.19694
## [21,] 307.6799 215.62765 399.7322 92.05228
## [22,] 266.4872 171.78577 361.1886 94.70142
## [23,] 221.6746 125.40026 317.9489 96.27432
## [24,] 196.2989  99.62028 292.9775 96.67863
## [25,] 195.5911  98.50396 292.6782 97.08710
## [26,] 235.3918 137.80463 332.9790 97.58718
## [27,] 291.1887 192.93040 389.4470 98.25832
## [28,] 303.7182 204.75439 402.6820 98.96381
## 
## $Household_2_CA_1
##           fcst     lower    upper       CI
##  [1,] 127.2304  93.48302 160.9777 33.74734
##  [2,] 117.6514  82.79923 152.5035 34.85216
##  [3,] 114.6830  79.30186 150.0642 35.38117
##  [4,] 113.8065  78.01713 149.5958 35.78934
##  [5,] 133.3730  97.25122 169.4948 36.12178
##  [6,] 159.6926 123.02582 196.3594 36.66681
##  [7,] 153.0869 115.40583 190.7680 37.68108
##  [8,] 128.8908  88.39464 169.3870 40.49620
##  [9,] 113.9008  72.79024 155.0113 41.11053
## [10,] 108.9447  67.46391 150.4256 41.48084
## [11,] 110.2075  68.38540 152.0295 41.82205
## [12,] 131.4052  89.25468 173.5558 42.15056
## [13,] 157.4186 114.77099 200.0662 42.64761
## [14,] 153.0666 109.84944 196.2838 43.21716
## [15,] 128.6132  83.89851 173.3280 44.71473
## [16,] 112.1175  66.95879 157.2762 45.15869
## [17,] 106.1320  60.71782 151.5461 45.41413
## [18,] 109.3091  63.61334 155.0048 45.69571
## [19,] 130.7397  84.76138 176.7181 45.97834
## [20,] 154.1041 107.75895 200.4493 46.34517
## [21,] 150.8603 104.07937 197.6411 46.78089
## [22,] 128.5146  80.71005 176.3191 47.80450
## [23,] 111.3838  63.22546 159.5421 48.15830
## [24,] 104.6611  56.32676 152.9953 48.33429
## [25,] 109.2353  60.67503 157.7956 48.56031
## [26,] 130.1156  81.30643 178.9248 48.80917
## [27,] 151.1703 102.08377 200.2568 49.08654
## [28,] 148.7052  99.26784 198.1425 49.43733
## 
## $Household_1_CA_2
##           fcst    lower    upper        CI
##  [1,] 265.1649 202.8770 327.4529  62.28792
##  [2,] 233.0390 168.1121 297.9660  64.92696
##  [3,] 221.6484 156.0214 287.2755  65.62702
##  [4,] 209.8865 143.8209 275.9520  66.06558
##  [5,] 269.4425 202.6940 336.1911  66.74856
##  [6,] 360.4553 292.6654 428.2453  67.78997
##  [7,] 352.3699 283.2741 421.4657  69.09582
##  [8,] 277.2038 198.0516 356.3561  79.15226
##  [9,] 232.3746 151.3382 313.4109  81.03632
## [10,] 218.6876 137.3322 300.0429  81.35539
## [11,] 218.5943 136.9432 300.2455  81.65116
## [12,] 277.7800 195.7338 359.8262  82.04621
## [13,] 353.3556 270.6126 436.0986  82.74299
## [14,] 346.5131 262.6951 430.3311  83.81797
## [15,] 281.1486 191.7214 370.5757  89.42717
## [16,] 235.7454 144.6829 326.8078  91.06244
## [17,] 218.5985 127.2883 309.9087  91.31020
## [18,] 222.7696 131.2043 314.3350  91.56532
## [19,] 278.6822 186.8053 370.5591  91.87687
## [20,] 344.9272 252.5737 437.2807  92.35347
## [21,] 340.6540 247.4085 433.8996  93.24551
## [22,] 283.0155 186.0205 380.0105  96.99499
## [23,] 237.6523 139.2764 336.0283  98.37598
## [24,] 218.3496 119.7714 316.9278  98.57819
## [25,] 225.7478 126.9401 324.5556  98.80773
## [26,] 278.5531 179.4598 377.6464  99.09329
## [27,] 337.1237 237.6863 436.5610  99.43738
## [28,] 334.7783 234.5847 434.9719 100.19360
## 
## $Household_2_CA_2
##           fcst     lower    upper       CI
##  [1,] 217.0077 170.14113 263.8743 46.86657
##  [2,] 185.3621 137.07199 233.6521 48.29007
##  [3,] 170.9366 121.90132 219.9719 49.03530
##  [4,] 174.2822 124.96460 223.5998 49.31760
##  [5,] 220.0242 170.59650 269.4520 49.42773
##  [6,] 277.9486 227.80540 328.0918 50.14320
##  [7,] 264.6898 213.56498 315.8146 51.12480
##  [8,] 206.7968 148.83581 264.7578 57.96097
##  [9,] 177.5701 118.46278 236.6774 59.10730
## [10,] 168.5796 109.13048 228.0288 59.44915
## [11,] 170.5678 110.96474 230.1709 59.60307
## [12,] 210.4324 150.71158 270.1533 59.72085
## [13,] 262.1293 201.88545 322.3731 60.24382
## [14,] 252.2281 191.26752 313.1888 60.96062
## [15,] 203.5036 138.83941 268.1677 64.66416
## [16,] 173.9096 108.35686 239.4622 65.55269
## [17,] 163.9646  98.20461 229.7245 65.75995
## [18,] 167.5993 101.70568 233.4928 65.89357
## [19,] 206.0026 139.97650 272.0286 66.02607
## [20,] 250.6217 184.22874 317.0147 66.39297
## [21,] 243.7092 176.72269 310.6958 66.98654
## [22,] 201.5914 132.21484 270.9679 69.37655
## [23,] 171.9698 101.88555 242.0541 70.08425
## [24,] 160.7131  90.49294 230.9332 70.22013
## [25,] 166.3108  95.95779 236.6638 70.35302
## [26,] 202.7145 132.20336 273.2256 70.51113
## [27,] 241.9370 171.15285 312.7212 70.78418
## [28,] 237.1791 165.90565 308.4525 71.27342
## 
## $Household_1_CA_3
##           fcst    lower    upper        CI
##  [1,] 421.9166 329.8477 513.9854  92.06882
##  [2,] 387.6610 289.3088 486.0132  98.35223
##  [3,] 352.8078 252.6367 452.9789 100.17108
##  [4,] 342.8943 241.9407 443.8480 100.95361
##  [5,] 387.6490 285.8348 489.4632 101.81420
##  [6,] 473.3061 369.7535 576.8586 103.55257
##  [7,] 490.4967 384.7823 596.2112 105.71447
##  [8,] 441.2958 328.2094 554.3822 113.08641
##  [9,] 397.1433 280.7403 513.5462 116.40294
## [10,] 365.7418 248.1759 483.3077 117.56589
## [11,] 348.7420 230.2885 467.1956 118.45355
## [12,] 390.0811 270.6816 509.4807 119.39959
## [13,] 472.3008 351.3006 593.3009 121.00016
## [14,] 496.8598 374.2446 619.4749 122.61518
## [15,] 453.1097 326.5163 579.7031 126.59337
## [16,] 403.9012 274.8054 532.9969 129.09573
## [17,] 369.0801 239.0349 499.1253 130.04519
## [18,] 355.8108 225.0055 486.6161 130.80528
## [19,] 397.5105 265.8717 529.1493 131.63879
## [20,] 471.3189 338.3995 604.2382 132.91933
## [21,] 495.3287 361.1705 629.4869 134.15824
## [22,] 457.3517 320.4185 594.2848 136.93317
## [23,] 408.2066 269.2595 547.1538 138.94717
## [24,] 372.7011 232.9692 512.4331 139.73196
## [25,] 362.7190 222.3758 503.0622 140.34321
## [26,] 403.3810 262.3314 544.4306 141.04959
## [27,] 469.5882 327.5466 611.6298 142.04161
## [28,] 492.3460 349.3206 635.3714 143.02543
## 
## $Household_2_CA_3
##           fcst    lower    upper       CI
##  [1,] 213.4396 164.7636 262.1157 48.67604
##  [2,] 189.6995 139.6224 239.7766 50.07712
##  [3,] 189.0731 138.4074 239.7387 50.66564
##  [4,] 177.3561 126.1424 228.5697 51.21364
##  [5,] 201.3142 149.5704 253.0579 51.74372
##  [6,] 235.3890 182.8795 287.8985 52.50949
##  [7,] 236.1078 182.0345 290.1811 54.07330
##  [8,] 209.1363 152.1416 266.1310 56.99469
##  [9,] 187.3651 129.3842 245.3459 57.98089
## [10,] 179.4336 121.0746 237.7926 58.35902
## [11,] 176.1294 117.4000 234.8587 58.72935
## [12,] 195.6058 136.4943 254.7174 59.11158
## [13,] 228.0857 168.4781 287.6932 59.60753
## [14,] 232.2903 172.1493 292.4312 60.14095
## [15,] 207.2839 145.6701 268.8977 61.61383
## [16,] 185.4649 123.1450 247.7848 62.31989
## [17,] 175.1485 112.5938 237.7031 62.55467
## [18,] 174.2807 111.4597 237.1017 62.82098
## [19,] 193.7496 130.6726 256.8266 63.07702
## [20,] 223.0766 159.6583 286.4949 63.41829
## [21,] 227.7140 163.9417 291.4863 63.77233
## [22,] 206.0076 141.2718 270.7434 64.73580
## [23,] 184.2001 118.9296 249.4707 65.27054
## [24,] 173.0307 107.6035 238.4580 65.42726
## [25,] 173.3551 107.7357 238.9744 65.61933
## [26,] 192.6927 126.8666 258.5188 65.82609
## [27,] 219.2481 153.1638 285.3324 66.08430
## [28,] 224.0060 157.6591 290.3528 66.34682
## 
## $Foods_1_CA_1
##           fcst     lower    upper       CI
##  [1,] 160.3520 110.77224 209.9318 49.57980
##  [2,] 154.5374 100.31907 208.7556 54.21829
##  [3,] 145.9869  89.79742 202.1764 56.18952
##  [4,] 137.7428  79.88891 195.5966 57.85386
##  [5,] 149.9671  90.77442 209.1597 59.19266
##  [6,] 187.8962 127.53608 248.2564 60.36014
##  [7,] 200.7784 139.42452 262.1323 61.35388
##  [8,] 177.7526 114.93209 240.5731 62.82052
##  [9,] 153.8516  90.40269 217.3004 63.44888
## [10,] 138.9628  75.27637 202.6493 63.68645
## [11,] 135.3451  71.36741 199.3227 63.97766
## [12,] 154.5930  90.26527 218.9207 64.32771
## [13,] 189.3674 124.59435 254.1405 64.77306
## [14,] 198.7377 133.77156 263.7038 64.96614
## [15,] 178.4589 112.78129 244.1365 65.67760
## [16,] 155.2952  89.19440 221.3960 66.10079
## [17,] 139.9969  73.76873 206.2250 66.22816
## [18,] 136.9770  70.55098 203.4030 66.42601
## [19,] 156.4974  89.79819 223.1966 66.69922
## [20,] 187.9170 120.87873 254.9552 67.03824
## [21,] 197.0179 129.83533 264.2005 67.18259
## [22,] 179.0994 111.37484 246.8239 67.72452
## [23,] 156.2093  88.13897 224.2796 68.07031
## [24,] 140.9228  72.78820 209.0574 68.13457
## [25,] 139.0391  70.77139 207.3069 68.26774
## [26,] 158.3783  89.89042 226.8661 68.48784
## [27,] 186.7622 118.01810 255.5063 68.74411
## [28,] 195.4071 126.54327 264.2710 68.86387
## 
## $Foods_2_CA_1
##           fcst    lower    upper       CI
##  [1,] 321.0996 213.3211 428.8781 107.7785
##  [2,] 317.9949 199.5009 436.4890 118.4940
##  [3,] 319.7895 197.6746 441.9043 122.1149
##  [4,] 289.1531 165.1210 413.1853 124.0322
##  [5,] 331.6913 206.6141 456.7686 125.0772
##  [6,] 421.1224 294.2257 548.0191 126.8967
##  [7,] 409.4161 280.7843 538.0479 128.6318
##  [8,] 340.4146 202.5485 478.2808 137.8662
##  [9,] 303.3709 160.7873 445.9544 142.5836
## [10,] 289.1636 144.2737 434.0535 144.8899
## [11,] 283.3044 137.0250 429.5837 146.2794
## [12,] 327.1202 179.8014 474.4391 147.3189
## [13,] 404.3216 255.7932 552.8500 148.5284
## [14,] 402.9190 253.1364 552.7017 149.7826
## [15,] 340.2328 185.7160 494.7496 154.5168
## [16,] 293.7490 136.4242 451.0739 157.3249
## [17,] 275.9946 117.3644 434.6248 158.6302
## [18,] 277.9988 118.4595 437.5380 159.5392
## [19,] 327.0158 166.7251 487.3065 160.2907
## [20,] 394.6856 233.6097 555.7615 161.0759
## [21,] 395.1891 233.1382 557.2401 162.0509
## [22,] 337.3401 172.1458 502.5344 165.1943
## [23,] 288.5876 121.4821 455.6931 167.1055
## [24,] 268.4380 100.5250 436.3510 167.9130
## [25,] 275.6091 107.0734 444.1448 168.5357
## [26,] 326.4975 157.4161 495.5788 169.0813
## [27,] 387.4708 217.8578 557.0839 169.6131
## [28,] 388.4382 218.0442 558.8323 170.3941
## 
## $Foods_3_CA_1
##           fcst     lower    upper       CI
##  [1,] 1753.694 1347.2621 2160.126 406.4319
##  [2,] 1635.854 1191.5182 2080.190 444.3361
##  [3,] 1580.380 1125.0885 2035.671 455.2913
##  [4,] 1494.274 1033.8551 1954.692 460.4185
##  [5,] 1676.132 1211.4854 2140.779 464.6469
##  [6,] 2149.702 1679.6051 2619.800 470.0972
##  [7,] 2176.578 1700.6414 2652.515 475.9369
##  [8,] 1824.479 1296.8176 2352.141 527.6618
##  [9,] 1583.890 1035.3613 2132.420 548.5291
## [10,] 1480.336  924.7456 2035.927 555.5909
## [11,] 1448.437  888.4820 2008.391 559.9546
## [12,] 1679.665 1116.3919 2242.937 563.2727
## [13,] 2099.273 1532.1517 2666.394 567.1210
## [14,] 2144.572 1573.5017 2715.642 571.0700
## [15,] 1825.152 1227.4215 2422.883 597.7307
## [16,] 1551.026  938.8634 2163.188 612.1624
## [17,] 1428.351  811.6054 2045.097 616.7457
## [18,] 1429.267  808.8523 2049.682 620.4149
## [19,] 1684.549 1061.0734 2308.024 623.4754
## [20,] 2062.628 1436.0200 2689.236 626.6081
## [21,] 2108.820 1478.5374 2739.103 630.2829
## [22,] 1816.813 1168.6354 2464.991 648.1776
## [23,] 1533.978  875.1686 2192.787 658.8093
## [24,] 1399.992  738.1762 2061.808 661.8158
## [25,] 1422.889  758.2133 2087.565 664.6756
## [26,] 1687.249 1019.9007 2354.597 667.3481
## [27,] 2031.380 1361.5384 2701.221 669.8411
## [28,] 2076.524 1403.4049 2749.644 673.1195
## 
## $Foods_1_CA_2
##           fcst     lower    upper       CI
##  [1,] 190.0108 155.01631 225.0054 34.99452
##  [2,] 146.8403 109.42694 184.2537 37.41336
##  [3,] 132.1501  94.29315 170.0071 37.85698
##  [4,] 153.2059 115.05804 191.3537 38.14781
##  [5,] 181.5359 143.13049 219.9413 38.40539
##  [6,] 229.4205 190.84469 267.9963 38.57581
##  [7,] 226.0131 186.58746 265.4387 39.42564
##  [8,] 190.6379 146.46199 234.8137 44.17587
##  [9,] 156.9435 110.86151 203.0254 46.08197
## [10,] 146.0982  99.52141 192.6751 46.57683
## [11,] 155.5169 108.73313 202.3006 46.78373
## [12,] 182.2095 135.27302 229.1459 46.93646
## [13,] 216.0897 168.94522 263.2342 47.14448
## [14,] 216.6985 168.78660 264.6103 47.91187
## [15,] 189.7318 139.51497 239.9487 50.21687
## [16,] 164.0427 112.44411 215.6413 51.59859
## [17,] 154.3842 102.28225 206.4862 52.10199
## [18,] 159.3977 107.03477 211.7606 52.36293
## [19,] 181.2853 128.72219 233.8484 52.56312
## [20,] 207.5952 154.75881 260.4316 52.83640
## [21,] 209.7927 156.28383 263.3017 53.50891
## [22,] 189.1336 134.12454 244.1427 55.00908
## [23,] 168.2899 112.22162 224.3582 56.06831
## [24,] 159.1285 102.58937 215.6677 56.53916
## [25,] 162.3496 105.51752 219.1817 56.83207
## [26,] 180.4440 123.36741 237.5205 57.07654
## [27,] 201.9436 144.56114 259.3260 57.38244
## [28,] 204.6746 146.69561 262.6536 57.97899
## 
## $Foods_2_CA_2
##           fcst    lower    upper       CI
##  [1,] 233.2706 171.3838 295.1575 61.88681
##  [2,] 204.3683 139.0697 269.6668 65.29852
##  [3,] 219.5274 153.2505 285.8043 66.27689
##  [4,] 236.1288 169.2265 303.0310 66.90229
##  [5,] 286.0637 218.6985 353.4290 67.36527
##  [6,] 339.6164 271.6597 407.5731 67.95668
##  [7,] 315.3571 246.3568 384.3573 69.00023
##  [8,] 252.2627 177.9828 326.5425 74.27987
##  [9,] 221.5166 145.7443 297.2889 75.77229
## [10,] 224.5818 148.1872 300.9764 76.39460
## [11,] 237.9785 161.2624 314.6946 76.71609
## [12,] 283.4185 206.4045 360.4325 77.01400
## [13,] 327.4959 250.0291 404.9628 77.46681
## [14,] 311.3823 233.1244 389.6403 78.25792
## [15,] 259.7907 178.7921 340.7892 80.99856
## [16,] 229.9025 147.9795 311.8256 81.92305
## [17,] 226.8110 144.5125 309.1095 82.29852
## [18,] 240.2616 157.7079 322.8153 82.55373
## [19,] 280.8754 198.0821 363.6688 82.79337
## [20,] 318.6063 235.5028 401.7098 83.10353
## [21,] 306.5196 222.7502 390.2889 83.76934
## [22,] 263.1574 177.5109 348.8039 85.64651
## [23,] 234.5422 148.1814 320.9030 86.36084
## [24,] 228.7445 142.1224 315.3666 86.62208
## [25,] 241.6568 154.8077 328.5060 86.84915
## [26,] 278.4563 191.3904 365.5222 87.06590
## [27,] 311.4077 224.1049 398.7104 87.30279
## [28,] 302.2570 214.3737 390.1403 87.88330
## 
## $Foods_3_CA_2
##           fcst     lower    upper       CI
##  [1,] 1558.568 1283.5314 1833.605 275.0370
##  [2,] 1357.439 1065.6048 1649.274 291.8347
##  [3,] 1303.305 1006.3098 1600.300 296.9951
##  [4,] 1354.627 1055.6187 1653.636 299.0087
##  [5,] 1608.663 1307.3460 1909.979 301.3165
##  [6,] 1987.155 1682.8710 2291.438 304.2837
##  [7,] 1917.097 1608.1136 2226.081 308.9838
##  [8,] 1578.899 1229.0480 1928.749 349.8506
##  [9,] 1371.194 1011.3217 1731.066 359.8719
## [10,] 1321.292  958.5280 1684.055 362.7636
## [11,] 1362.291  997.5939 1726.989 364.6975
## [12,] 1612.982 1246.1513 1979.812 366.8304
## [13,] 1918.193 1549.2110 2287.175 368.9819
## [14,] 1874.135 1500.6967 2247.573 373.4384
## [15,] 1587.187 1191.2587 1983.115 395.9283
## [16,] 1386.887  983.2856 1790.488 403.6012
## [17,] 1327.282  921.6418 1732.922 405.6403
## [18,] 1375.996  968.5478 1783.445 407.4487
## [19,] 1609.624 1200.4819 2018.767 409.1425
## [20,] 1869.005 1458.2911 2279.719 410.7137
## [21,] 1837.967 1423.0569 2252.877 414.9099
## [22,] 1590.510 1160.3891 2020.631 430.1210
## [23,] 1398.397  962.0265 1834.768 436.3708
## [24,] 1332.721  894.8083 1770.633 437.9124
## [25,] 1385.987  946.5283 1825.445 439.4583
## [26,] 1603.732 1162.8602 2044.604 440.8717
## [27,] 1829.553 1387.4380 2271.668 442.1149
## [28,] 1807.482 1361.5887 2253.375 445.8933
## 
## $Foods_1_CA_3
##           fcst    lower    upper       CI
##  [1,] 217.6243 155.8987 279.3499 61.72564
##  [2,] 214.0794 146.8003 281.3586 67.27915
##  [3,] 194.7115 124.1173 265.3056 70.59413
##  [4,] 179.4514 106.4324 252.4704 73.01899
##  [5,] 181.4591 105.8495 257.0687 75.60958
##  [6,] 231.3835 153.9440 308.8230 77.43950
##  [7,] 249.3333 170.2067 328.4599 79.12664
##  [8,] 229.8045 149.0756 310.5334 80.72893
##  [9,] 211.3797 129.8789 292.8805 81.50076
## [10,] 196.6633 114.7392 278.5873 81.92404
## [11,] 183.6838 101.3889 265.9787 82.29491
## [12,] 192.0319 109.4279 274.6359 82.60395
## [13,] 231.9870 148.7176 315.2564 83.26941
## [14,] 250.8461 167.1710 334.5211 83.67503
## [15,] 235.4118 151.2410 319.5826 84.17083
## [16,] 215.0265 130.4475 299.6054 84.57898
## [17,] 199.1363 114.3755 283.8972 84.76085
## [18,] 186.8653 101.9089 271.8217 84.95645
## [19,] 198.0805 112.9107 283.2502 85.16974
## [20,] 232.6522 147.0085 318.2958 85.64369
## [21,] 250.0314 164.1491 335.9136 85.88223
## [22,] 237.2369 151.0080 323.4657 86.22885
## [23,] 216.9343 130.3841 303.4846 86.55024
## [24,] 200.5215 113.8834 287.1596 86.63809
## [25,] 190.1713 103.4215 276.9211 86.74976
## [26,] 202.0321 115.1227 288.9415 86.90942
## [27,] 232.7016 145.4525 319.9506 87.24902
## [28,] 248.7372 161.3239 336.1504 87.41325
## 
## $Foods_2_CA_3
##           fcst    lower    upper       CI
##  [1,] 413.3519 259.9202 566.7835 153.4317
##  [2,] 358.7187 189.0614 528.3760 169.6573
##  [3,] 391.0656 214.6504 567.4808 176.4152
##  [4,] 399.5805 218.7533 580.4078 180.8273
##  [5,] 452.6328 266.9399 638.3256 185.6928
##  [6,] 527.0910 337.1287 717.0533 189.9623
##  [7,] 529.1461 336.4112 721.8809 192.7348
##  [8,] 463.2469 261.6197 664.8741 201.6272
##  [9,] 419.5314 211.8607 627.2020 207.6707
## [10,] 405.2699 193.4415 617.0982 211.8283
## [11,] 401.2998 186.2038 616.3959 215.0961
## [12,] 457.2854 239.3691 675.2018 217.9164
## [13,] 533.0547 312.4873 753.6221 220.5674
## [14,] 538.8949 315.8781 761.9116 223.0167
## [15,] 482.2016 254.7041 709.6991 227.4975
## [16,] 434.6152 203.4942 665.7363 231.1211
## [17,] 411.3976 177.6662 645.1290 233.7314
## [18,] 414.8085 178.9004 650.7167 235.9082
## [19,] 467.8047 229.9540 705.6555 237.8507
## [20,] 534.2187 294.6098 773.8276 239.6089
## [21,] 540.3599 298.9584 781.7614 241.4015
## [22,] 489.7584 245.3059 734.2108 244.4525
## [23,] 440.8444 193.8673 687.8215 246.9771
## [24,] 416.3162 167.6026 665.0297 248.7136
## [25,] 423.3448 173.1558 673.5338 250.1890
## [26,] 474.4849 222.9632 726.0066 251.5217
## [27,] 533.9131 281.2122 786.6141 252.7009
## [28,] 539.6157 285.6085 793.6230 254.0073
## 
## $Foods_3_CA_3
##           fcst    lower    upper       CI
##  [1,] 2146.234 1641.396 2651.073 504.8383
##  [2,] 1889.279 1336.119 2442.440 553.1607
##  [3,] 1972.907 1399.291 2546.524 573.6167
##  [4,] 1872.808 1284.213 2461.404 588.5954
##  [5,] 2004.773 1399.844 2609.701 604.9282
##  [6,] 2368.877 1749.789 2987.966 619.0888
##  [7,] 2513.023 1882.457 3143.589 630.5656
##  [8,] 2248.045 1582.137 2913.953 665.9080
##  [9,] 2033.433 1348.128 2718.737 685.3043
## [10,] 1940.479 1244.917 2636.041 695.5618
## [11,] 1856.969 1152.583 2561.356 704.3864
## [12,] 2025.073 1312.800 2737.345 712.2725
## [13,] 2411.874 1691.259 3132.488 720.6145
## [14,] 2532.419 1806.229 3258.608 726.1894
## [15,] 2307.023 1563.235 3050.811 743.7877
## [16,] 2067.722 1309.967 2825.477 757.7549
## [17,] 1930.098 1165.118 2695.078 764.9799
## [18,] 1876.758 1105.636 2647.881 771.1229
## [19,] 2062.875 1285.983 2839.767 776.8917
## [20,] 2417.341 1634.635 3200.047 782.7062
## [21,] 2534.851 1747.897 3321.804 786.9538
## [22,] 2332.519 1533.343 3131.696 799.1763
## [23,] 2084.724 1274.905 2894.543 809.8187
## [24,] 1930.626 1115.801 2745.451 814.8253
## [25,] 1895.208 1076.112 2714.303 819.0955
## [26,] 2089.490 1266.243 2912.737 823.2471
## [27,] 2414.684 1587.338 3242.031 827.3464
## [28,] 2525.889 1695.225 3356.554 830.6645